%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO631-1 : TPTP v8.2.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:48:54 EDT 2024

% Result   : Unsatisfiable 103.49s 21.26s
% Output   : CNFRefutation 103.49s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_48_04,axiom,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_48_04) ).

cnf(clause_49_39,axiom,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49_39) ).

cnf(clause_10_13,axiom,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_13) ).

cnf(clause_18_06,axiom,
    iLEQ(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_06) ).

cnf(clause_3_02,axiom,
    iLEQ(X1,g(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_02) ).

cnf(clause_26_19,axiom,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s('0'))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_19) ).

cnf(clause_54_45,axiom,
    ( 'E'(s(s(s(s(s(s('0')))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s('0')))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54_45) ).

cnf(clause_42_32,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_42_32) ).

cnf(clause_19_05,axiom,
    ~ 'E'(f(X1),f(g(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19_05) ).

cnf(clause_5_11,axiom,
    ( 'E'(s(s(s(s(s('0'))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s('0'))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_11) ).

cnf(clause_27_01,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_01) ).

cnf(clause_0_36,axiom,
    ( 'E'(s(s(s(s('0')))),f(X2))
    | 'LE'(f(X2),s(s(s(s('0')))))
    | ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_36) ).

cnf(clause_31_54,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31_54) ).

cnf(clause_8_03,axiom,
    ( 'E'(s(s(s('0'))),f(X2))
    | 'LE'(f(X2),s(s(s('0'))))
    | ~ 'LE'(f(X1),s(s(s(s('0')))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_03) ).

cnf(clause_51_50,axiom,
    ( 'E'(s(s('0')),f(X2))
    | 'LE'(f(X2),s(s('0')))
    | ~ 'LE'(f(X1),s(s(s('0'))))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51_50) ).

cnf(clause_23_21,axiom,
    ( 'E'(s('0'),f(X2))
    | 'LE'(f(X2),s('0'))
    | ~ 'LE'(f(X1),s(s('0')))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23_21) ).

cnf(clause_56_31,axiom,
    ( 'E'('0',f(X2))
    | 'LE'(f(X2),'0')
    | ~ 'LE'(f(X1),s('0'))
    | ~ iLEQ(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_56_31) ).

cnf(clause_38_52,axiom,
    ~ 'LE'(f(X1),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_38_52) ).

cnf(clause_44_07,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44_07) ).

cnf(clause_2_25,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_25) ).

cnf(clause_30_35,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_35) ).

cnf(clause_11_16,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_16) ).

cnf(clause_20_22,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20_22) ).

cnf(clause_40_23,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40_23) ).

cnf(clause_29_12,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_12) ).

cnf(clause_55_48,axiom,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55_48) ).

cnf(c_0_26,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_48_04]) ).

cnf(c_0_27,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ iLEQ(X1,X2) ),
    c_0_26 ).

cnf(c_0_28,axiom,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    clause_49_39 ).

cnf(c_0_29,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_10_13]) ).

cnf(c_0_30,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ iLEQ(X2,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,axiom,
    iLEQ(X1,X1),
    clause_18_06 ).

cnf(c_0_32,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(X1,X2) ),
    c_0_29 ).

cnf(c_0_33,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,axiom,
    iLEQ(X1,g(X1)),
    clause_3_02 ).

cnf(c_0_35,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s('0'))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_26_19]) ).

cnf(c_0_36,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ iLEQ(X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_34]) ).

cnf(c_0_38,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s(s('0'))))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(X1,X2) ),
    c_0_35 ).

cnf(c_0_39,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_31]) ).

cnf(c_0_40,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_37]) ).

cnf(c_0_41,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s('0')))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_54_45]) ).

cnf(c_0_42,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ iLEQ(X2,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_31]) ).

cnf(c_0_44,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_42_32]) ).

cnf(c_0_45,plain,
    ~ 'E'(f(X1),f(g(X1))),
    inference(fof_simplification,[status(thm)],[clause_19_05]) ).

cnf(c_0_46,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s(s('0')))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(X1,X2) ),
    c_0_41 ).

cnf(c_0_47,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_31]) ).

cnf(c_0_48,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_43]) ).

cnf(c_0_49,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    c_0_44 ).

cnf(c_0_50,plain,
    ~ 'E'(f(X1),f(g(X1))),
    c_0_45 ).

cnf(c_0_51,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(X2,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_53,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_31]) ).

cnf(c_0_54,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_31]) ).

cnf(c_0_56,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_52]) ).

cnf(c_0_57,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s('0'))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_5_11]) ).

cnf(c_0_58,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_53]) ).

cnf(c_0_59,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_34]) ).

cnf(c_0_61,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_31]) ).

cnf(c_0_62,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_27_01]) ).

cnf(c_0_63,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X2))
    | 'LE'(f(X2),s(s(s(s(s('0'))))))
    | ~ 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(X1,X2) ),
    c_0_57 ).

cnf(c_0_64,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_59]) ).

cnf(c_0_65,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_60]) ).

cnf(c_0_66,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_61]) ).

cnf(c_0_67,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    c_0_62 ).

cnf(c_0_68,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_65,c_0_31]) ).

cnf(c_0_70,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_31]) ).

cnf(c_0_71,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_67,c_0_50]) ).

cnf(c_0_72,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_31]) ).

cnf(c_0_73,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_69]) ).

cnf(c_0_74,plain,
    ( 'E'(s(s(s(s('0')))),f(X2))
    | 'LE'(f(X2),s(s(s(s('0')))))
    | ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_0_36]) ).

cnf(c_0_75,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_70]) ).

cnf(c_0_76,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_78,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_73,c_0_31]) ).

cnf(c_0_79,plain,
    ( 'E'(s(s(s(s('0')))),f(X2))
    | 'LE'(f(X2),s(s(s(s('0')))))
    | ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
    | ~ iLEQ(X1,X2) ),
    c_0_74 ).

cnf(c_0_80,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_31]),c_0_76]) ).

cnf(c_0_81,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_31_54]) ).

cnf(c_0_82,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_77]) ).

cnf(c_0_83,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_78]) ).

cnf(c_0_84,plain,
    ( 'E'(s(s(s('0'))),f(X2))
    | 'LE'(f(X2),s(s(s('0'))))
    | ~ 'LE'(f(X1),s(s(s(s('0')))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_8_03]) ).

cnf(c_0_85,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    c_0_81 ).

cnf(c_0_87,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_31]) ).

cnf(c_0_88,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_31]),c_0_76]) ).

cnf(c_0_89,plain,
    ( 'E'(s(s(s('0'))),f(X2))
    | 'LE'(f(X2),s(s(s('0'))))
    | ~ 'LE'(f(X1),s(s(s(s('0')))))
    | ~ iLEQ(X1,X2) ),
    c_0_84 ).

cnf(c_0_90,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_34]) ).

cnf(c_0_91,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_86,c_0_50]) ).

cnf(c_0_92,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_31]) ).

cnf(c_0_93,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_34]) ).

cnf(c_0_94,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_87]) ).

cnf(c_0_95,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_88]) ).

cnf(c_0_96,plain,
    ( 'E'(s(s('0')),f(X2))
    | 'LE'(f(X2),s(s('0')))
    | ~ 'LE'(f(X1),s(s(s('0'))))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_51_50]) ).

cnf(c_0_97,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_98,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_99,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_93]) ).

cnf(c_0_100,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_94,c_0_31]) ).

cnf(c_0_101,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_31]) ).

cnf(c_0_102,plain,
    ( 'E'(s(s('0')),f(X2))
    | 'LE'(f(X2),s(s('0')))
    | ~ 'LE'(f(X1),s(s(s('0'))))
    | ~ iLEQ(X1,X2) ),
    c_0_96 ).

cnf(c_0_103,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_31]) ).

cnf(c_0_104,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_89,c_0_98]) ).

cnf(c_0_105,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_99,c_0_31]) ).

cnf(c_0_106,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_100]) ).

cnf(c_0_107,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_101]) ).

cnf(c_0_108,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_76]) ).

cnf(c_0_109,plain,
    ( 'E'(s('0'),f(X2))
    | 'LE'(f(X2),s('0'))
    | ~ 'LE'(f(X1),s(s('0')))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_23_21]) ).

cnf(c_0_110,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_111,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_104,c_0_34]) ).

cnf(c_0_112,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_105]) ).

cnf(c_0_113,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_31]),c_0_107]) ).

cnf(c_0_114,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_108,c_0_34]) ).

cnf(c_0_115,plain,
    ( 'E'('0',f(X2))
    | 'LE'(f(X2),'0')
    | ~ 'LE'(f(X1),s('0'))
    | ~ iLEQ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_56_31]) ).

cnf(c_0_116,plain,
    ~ 'LE'(f(X1),'0'),
    inference(fof_simplification,[status(thm)],[clause_38_52]) ).

cnf(c_0_117,plain,
    ( 'E'(s('0'),f(X2))
    | 'LE'(f(X2),s('0'))
    | ~ 'LE'(f(X1),s(s('0')))
    | ~ iLEQ(X1,X2) ),
    c_0_109 ).

cnf(c_0_118,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_110,c_0_31]) ).

cnf(c_0_119,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_111]) ).

cnf(c_0_120,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_34]) ).

cnf(c_0_121,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_112,c_0_31]) ).

cnf(c_0_122,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_113]) ).

cnf(c_0_123,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_44_07]) ).

cnf(c_0_124,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_114]) ).

cnf(c_0_125,plain,
    ( 'E'('0',f(X2))
    | 'LE'(f(X2),'0')
    | ~ 'LE'(f(X1),s('0'))
    | ~ iLEQ(X1,X2) ),
    c_0_115 ).

cnf(c_0_126,plain,
    ~ 'LE'(f(X1),'0'),
    c_0_116 ).

cnf(c_0_127,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_128,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_119,c_0_31]) ).

cnf(c_0_129,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_120]) ).

cnf(c_0_130,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_121]) ).

cnf(c_0_131,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_122,c_0_34]) ).

cnf(c_0_132,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    c_0_123 ).

cnf(c_0_133,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_31]) ).

cnf(c_0_134,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_2_25]) ).

cnf(c_0_135,plain,
    ( 'E'('0',f(X1))
    | ~ 'LE'(f(X2),s('0'))
    | ~ iLEQ(X2,X1) ),
    inference(sr,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_136,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_127,c_0_31]) ).

cnf(c_0_137,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_128]) ).

cnf(c_0_138,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_34]) ).

cnf(c_0_139,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_129,c_0_31]) ).

cnf(c_0_140,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_31]),c_0_98]) ).

cnf(c_0_141,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_131]) ).

cnf(c_0_142,plain,
    ( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_132,c_0_50]) ).

cnf(c_0_143,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_122,c_0_31]) ).

cnf(c_0_144,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_133]) ).

cnf(c_0_145,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(g(X1))) ),
    c_0_134 ).

cnf(c_0_146,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_147,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_137,c_0_31]) ).

cnf(c_0_148,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_138]) ).

cnf(c_0_149,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_139]) ).

cnf(c_0_150,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_140]) ).

cnf(c_0_151,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_34]) ).

cnf(c_0_152,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_141,c_0_31]) ).

cnf(c_0_153,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_154,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_31]) ).

cnf(c_0_155,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_30_35]) ).

cnf(c_0_156,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_127,c_0_34]) ).

cnf(c_0_157,plain,
    ( ~ 'E'('0',f(g(X1)))
    | ~ 'E'('0',f(X1)) ),
    inference(sr,[status(thm)],[c_0_145,c_0_50]) ).

cnf(c_0_158,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_146,c_0_34]) ).

cnf(c_0_159,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_147]) ).

cnf(c_0_160,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_34]) ).

cnf(c_0_161,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_149,c_0_31]) ).

cnf(c_0_162,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_150,c_0_31]) ).

cnf(c_0_163,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_151]) ).

cnf(c_0_164,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_152]) ).

cnf(c_0_165,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_153]) ).

cnf(c_0_166,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_150,c_0_34]) ).

cnf(c_0_167,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_154]) ).

cnf(c_0_168,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_110,c_0_34]) ).

cnf(c_0_169,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    c_0_155 ).

cnf(c_0_170,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_156]) ).

cnf(c_0_171,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_172,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_137,c_0_34]) ).

cnf(c_0_173,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_159,c_0_34]) ).

cnf(c_0_174,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_160]) ).

cnf(c_0_175,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_161]) ).

cnf(c_0_176,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_162]) ).

cnf(c_0_177,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_163,c_0_31]) ).

cnf(c_0_178,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_107]) ).

cnf(c_0_179,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_164,c_0_31]) ).

cnf(c_0_180,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_165,c_0_34]) ).

cnf(c_0_181,plain,
    ( 'LE'(f(g(X1)),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_148,c_0_31]) ).

cnf(c_0_182,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_166]) ).

cnf(c_0_183,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_31]) ).

cnf(c_0_184,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_168]) ).

cnf(c_0_185,plain,
    ( ~ 'E'(s('0'),f(g(X1)))
    | ~ 'E'(s('0'),f(X1)) ),
    inference(sr,[status(thm)],[c_0_169,c_0_50]) ).

cnf(c_0_186,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_170,c_0_31]) ).

cnf(c_0_187,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_31]),c_0_171]) ).

cnf(c_0_188,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_119,c_0_34]) ).

cnf(c_0_189,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_172]) ).

cnf(c_0_190,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_173]) ).

cnf(c_0_191,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_174,c_0_31]) ).

cnf(c_0_192,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_11_16]) ).

cnf(c_0_193,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_31]),c_0_176]) ).

cnf(c_0_194,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_177]) ).

cnf(c_0_195,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_34]) ).

cnf(c_0_196,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_179]) ).

cnf(c_0_197,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_180]) ).

cnf(c_0_198,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_181]) ).

cnf(c_0_199,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_31]) ).

cnf(c_0_200,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_183]) ).

cnf(c_0_201,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_20_22]) ).

cnf(c_0_202,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_31]) ).

cnf(c_0_203,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_170,c_0_34]) ).

cnf(c_0_204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).

cnf(c_0_205,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_188]) ).

cnf(c_0_206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_189,c_0_31]) ).

cnf(c_0_207,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_31]),c_0_190]) ).

cnf(c_0_208,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_191]) ).

cnf(c_0_209,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    c_0_192 ).

cnf(c_0_210,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_193]) ).

cnf(c_0_211,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_194,c_0_31]) ).

cnf(c_0_212,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_195]) ).

cnf(c_0_213,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_164,c_0_34]) ).

cnf(c_0_214,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_196,c_0_34]) ).

cnf(c_0_215,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_197,c_0_31]) ).

cnf(c_0_216,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_198,c_0_31]) ).

cnf(c_0_217,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_199]) ).

cnf(c_0_218,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_176]) ).

cnf(c_0_219,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_34]) ).

cnf(c_0_220,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_200,c_0_34]) ).

cnf(c_0_221,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    c_0_201 ).

cnf(c_0_222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_202]) ).

cnf(c_0_223,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_203]),c_0_204]) ).

cnf(c_0_224,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_205,c_0_31]) ).

cnf(c_0_225,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_189,c_0_34]) ).

cnf(c_0_226,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_206]),c_0_207]) ).

cnf(c_0_227,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_208,c_0_31]) ).

cnf(c_0_228,plain,
    ( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_209,c_0_50]) ).

cnf(c_0_229,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_210,c_0_31]) ).

cnf(c_0_230,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_211]) ).

cnf(c_0_231,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_212,c_0_31]) ).

cnf(c_0_232,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_34]) ).

cnf(c_0_233,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_34]) ).

cnf(c_0_234,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_213]) ).

cnf(c_0_235,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_214]) ).

cnf(c_0_236,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_197,c_0_34]) ).

cnf(c_0_237,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_215]) ).

cnf(c_0_238,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_216]) ).

cnf(c_0_239,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_217,c_0_31]) ).

cnf(c_0_240,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_218,c_0_34]) ).

cnf(c_0_241,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_34]) ).

cnf(c_0_242,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_34]) ).

cnf(c_0_243,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_219]) ).

cnf(c_0_244,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_220]) ).

cnf(c_0_245,plain,
    ( ~ 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s('0')),f(X1)) ),
    inference(sr,[status(thm)],[c_0_221,c_0_50]) ).

cnf(c_0_246,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_222,c_0_31]) ).

cnf(c_0_247,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_223]),c_0_187]) ).

cnf(c_0_248,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_224]) ).

cnf(c_0_249,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_225]),c_0_226]) ).

cnf(c_0_250,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_227]) ).

cnf(c_0_251,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_252,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_230,c_0_31]) ).

cnf(c_0_253,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_231]) ).

cnf(c_0_254,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_232]) ).

cnf(c_0_255,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_233]) ).

cnf(c_0_256,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_234,c_0_31]) ).

cnf(c_0_257,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_31]),c_0_235]) ).

cnf(c_0_258,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_236]) ).

cnf(c_0_259,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_237,c_0_34]) ).

cnf(c_0_260,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_237,c_0_31]) ).

cnf(c_0_261,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_31]),c_0_153]) ).

cnf(c_0_262,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_239]) ).

cnf(c_0_263,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_240]) ).

cnf(c_0_264,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_241]) ).

cnf(c_0_265,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_242]) ).

cnf(c_0_266,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_31]) ).

cnf(c_0_267,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_31]),c_0_244]) ).

cnf(c_0_268,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_34]) ).

cnf(c_0_269,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_222,c_0_34]) ).

cnf(c_0_270,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).

cnf(c_0_271,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_248,c_0_31]) ).

cnf(c_0_272,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_249]),c_0_207]) ).

cnf(c_0_273,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_40_23]) ).

cnf(c_0_274,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_31]),c_0_251]) ).

cnf(c_0_275,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_252]) ).

cnf(c_0_276,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_253,c_0_31]) ).

cnf(c_0_277,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_254,c_0_31]) ).

cnf(c_0_278,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_255,c_0_31]) ).

cnf(c_0_279,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_29_12]) ).

cnf(c_0_280,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_234,c_0_34]) ).

cnf(c_0_281,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_256]),c_0_257]) ).

cnf(c_0_282,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_258,c_0_31]) ).

cnf(c_0_283,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_259]),c_0_260]) ).

cnf(c_0_284,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(X2),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_261]) ).

cnf(c_0_285,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_217,c_0_34]) ).

cnf(c_0_286,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_262,c_0_34]) ).

cnf(c_0_287,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_263,c_0_31]) ).

cnf(c_0_288,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_264,c_0_31]) ).

cnf(c_0_289,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_265,c_0_31]) ).

cnf(c_0_290,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_34]) ).

cnf(c_0_291,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_266]),c_0_267]) ).

cnf(c_0_292,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_268]) ).

cnf(c_0_293,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_269]),c_0_270]) ).

cnf(c_0_294,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_205,c_0_34]) ).

cnf(c_0_295,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_248,c_0_34]) ).

cnf(c_0_296,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_271]),c_0_272]) ).

cnf(c_0_297,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    c_0_273 ).

cnf(c_0_298,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_274]) ).

cnf(c_0_299,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_230,c_0_34]) ).

cnf(c_0_300,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_275,c_0_34]) ).

cnf(c_0_301,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_276]) ).

cnf(c_0_302,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_277]) ).

cnf(c_0_303,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_278]) ).

cnf(c_0_304,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    c_0_279 ).

cnf(c_0_305,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_280]),c_0_281]) ).

cnf(c_0_306,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_258,c_0_34]) ).

cnf(c_0_307,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_282]),c_0_283]) ).

cnf(c_0_308,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_284,c_0_34]) ).

cnf(c_0_309,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_285]) ).

cnf(c_0_310,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_286]) ).

cnf(c_0_311,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_263,c_0_34]) ).

cnf(c_0_312,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_287]) ).

cnf(c_0_313,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_288]) ).

cnf(c_0_314,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_289]) ).

cnf(c_0_315,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_290]),c_0_291]) ).

cnf(c_0_316,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_292,c_0_31]) ).

cnf(c_0_317,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_293]),c_0_247]) ).

cnf(c_0_318,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_294]) ).

cnf(c_0_319,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_295]),c_0_296]) ).

cnf(c_0_320,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_34]) ).

cnf(c_0_321,plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_297,c_0_50]) ).

cnf(c_0_322,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_298,c_0_31]) ).

cnf(c_0_323,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_194,c_0_34]) ).

cnf(c_0_324,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_299]) ).

cnf(c_0_325,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_300]) ).

cnf(c_0_326,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_253,c_0_34]) ).

cnf(c_0_327,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_301,c_0_34]) ).

cnf(c_0_328,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_302,c_0_31]) ).

cnf(c_0_329,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_34]) ).

cnf(c_0_330,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_303,c_0_31]) ).

cnf(c_0_331,plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_304,c_0_50]) ).

cnf(c_0_332,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_305]),c_0_257]) ).

cnf(c_0_333,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_306]),c_0_307]) ).

cnf(c_0_334,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_308]) ).

cnf(c_0_335,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_309,c_0_31]) ).

cnf(c_0_336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_31]),c_0_310]) ).

cnf(c_0_337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_311]) ).

cnf(c_0_338,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_312,c_0_34]) ).

cnf(c_0_339,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_312,c_0_31]) ).

cnf(c_0_340,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_313,c_0_31]) ).

cnf(c_0_341,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_314,c_0_31]) ).

cnf(c_0_342,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_315]),c_0_267]) ).

cnf(c_0_343,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_292,c_0_34]) ).

cnf(c_0_344,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_316]),c_0_317]) ).

cnf(c_0_345,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_318,c_0_31]) ).

cnf(c_0_346,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_319]),c_0_272]) ).

cnf(c_0_347,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_320]) ).

cnf(c_0_348,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_298,c_0_34]) ).

cnf(c_0_349,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_350,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_323]) ).

cnf(c_0_351,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_324,c_0_31]) ).

cnf(c_0_352,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_31]),c_0_325]) ).

cnf(c_0_353,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_212,c_0_34]) ).

cnf(c_0_354,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_326]) ).

cnf(c_0_355,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_327]) ).

cnf(c_0_356,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_328]) ).

cnf(c_0_357,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_329]) ).

cnf(c_0_358,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_330]) ).

cnf(c_0_359,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_34]) ).

cnf(c_0_360,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_361,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_333]),c_0_283]) ).

cnf(c_0_362,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_334,c_0_31]) ).

cnf(c_0_363,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_309,c_0_34]) ).

cnf(c_0_364,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_335]),c_0_336]) ).

cnf(c_0_365,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_337,c_0_31]) ).

cnf(c_0_366,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_338]),c_0_339]) ).

cnf(c_0_367,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_34]) ).

cnf(c_0_368,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_340]) ).

cnf(c_0_369,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_314,c_0_34]) ).

cnf(c_0_370,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_341]),c_0_342]) ).

cnf(c_0_371,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_55_48]) ).

cnf(c_0_372,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_343]),c_0_344]) ).

cnf(c_0_373,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_318,c_0_34]) ).

cnf(c_0_374,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_345]),c_0_346]) ).

cnf(c_0_375,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_347,c_0_31]) ).

cnf(c_0_376,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_198,c_0_34]) ).

cnf(c_0_377,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_348]) ).

cnf(c_0_378,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_349]) ).

cnf(c_0_379,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_350,c_0_31]) ).

cnf(c_0_380,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_324,c_0_34]) ).

cnf(c_0_381,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_351]),c_0_352]) ).

cnf(c_0_382,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_353]) ).

cnf(c_0_383,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_354,c_0_31]) ).

cnf(c_0_384,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_31]),c_0_355]) ).

cnf(c_0_385,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_356,c_0_31]) ).

cnf(c_0_386,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_357,c_0_31]) ).

cnf(c_0_387,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_31]),c_0_98]) ).

cnf(c_0_388,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_359]) ).

cnf(c_0_389,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_360]),c_0_361]) ).

cnf(c_0_390,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_334,c_0_34]) ).

cnf(c_0_391,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_362]) ).

cnf(c_0_392,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_284,c_0_31]) ).

cnf(c_0_393,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_363]),c_0_364]) ).

cnf(c_0_394,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_337,c_0_34]) ).

cnf(c_0_395,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_365]),c_0_366]) ).

cnf(c_0_396,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_210,c_0_34]) ).

cnf(c_0_397,plain,
    ( 'LE'(f(X1),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_367]) ).

cnf(c_0_398,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_368,c_0_34]) ).

cnf(c_0_399,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_369]),c_0_370]) ).

cnf(c_0_400,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_130,c_0_34]) ).

cnf(c_0_401,plain,
    ( 'E'(f(X1),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    c_0_371 ).

cnf(c_0_402,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_372]),c_0_317]) ).

cnf(c_0_403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_373]),c_0_374]) ).

cnf(c_0_404,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_375]) ).

cnf(c_0_405,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_376]) ).

cnf(c_0_406,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_377,c_0_34]) ).

cnf(c_0_407,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_377,c_0_31]) ).

cnf(c_0_408,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_378,c_0_34]) ).

cnf(c_0_409,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_379]) ).

cnf(c_0_410,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_380]),c_0_381]) ).

cnf(c_0_411,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_382,c_0_31]) ).

cnf(c_0_412,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_354,c_0_34]) ).

cnf(c_0_413,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_383]),c_0_384]) ).

cnf(c_0_414,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_356,c_0_34]) ).

cnf(c_0_415,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_385]) ).

cnf(c_0_416,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_386]) ).

cnf(c_0_417,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_387]) ).

cnf(c_0_418,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_31]),c_0_389]) ).

cnf(c_0_419,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_390]) ).

cnf(c_0_420,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_391,c_0_34]) ).

cnf(c_0_421,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_391,c_0_31]) ).

cnf(c_0_422,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_392]) ).

cnf(c_0_423,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_393]),c_0_336]) ).

cnf(c_0_424,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_394]),c_0_395]) ).

cnf(c_0_425,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_396]) ).

cnf(c_0_426,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_397,c_0_31]) ).

cnf(c_0_427,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_34]) ).

cnf(c_0_428,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_398]) ).

cnf(c_0_429,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_399]),c_0_342]) ).

cnf(c_0_430,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_265,c_0_34]) ).

cnf(c_0_431,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_400]) ).

cnf(c_0_432,plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(X1)) ),
    inference(sr,[status(thm)],[c_0_401,c_0_50]) ).

cnf(c_0_433,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_402]),c_0_247]) ).

cnf(c_0_434,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_403]),c_0_346]) ).

cnf(c_0_435,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_404,c_0_31]) ).

cnf(c_0_436,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_405,c_0_31]) ).

cnf(c_0_437,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_406]),c_0_407]) ).

cnf(c_0_438,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_408]) ).

cnf(c_0_439,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_409,c_0_31]) ).

cnf(c_0_440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_410]),c_0_352]) ).

cnf(c_0_441,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_411]) ).

cnf(c_0_442,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_412]),c_0_413]) ).

cnf(c_0_443,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_254,c_0_34]) ).

cnf(c_0_444,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_302,c_0_34]) ).

cnf(c_0_445,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_414]) ).

cnf(c_0_446,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_415,c_0_34]) ).

cnf(c_0_447,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_416,c_0_31]) ).

cnf(c_0_448,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_417,c_0_31]) ).

cnf(c_0_449,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_418]) ).

cnf(c_0_450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_419,c_0_31]) ).

cnf(c_0_451,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_420]),c_0_421]) ).

cnf(c_0_452,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(X2)))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_422]) ).

cnf(c_0_453,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_175,c_0_34]) ).

cnf(c_0_454,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_423]) ).

cnf(c_0_455,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_424]),c_0_366]) ).

cnf(c_0_456,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_425,c_0_31]) ).

cnf(c_0_457,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_426]) ).

cnf(c_0_458,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_427]) ).

cnf(c_0_459,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_313,c_0_34]) ).

cnf(c_0_460,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_428]),c_0_429]) ).

cnf(c_0_461,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_430]) ).

cnf(c_0_462,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_431,c_0_31]) ).

cnf(c_0_463,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_464,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_434]),c_0_272]) ).

cnf(c_0_465,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_347,c_0_34]) ).

cnf(c_0_466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_404,c_0_34]) ).

cnf(c_0_467,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_435]),c_0_423]) ).

cnf(c_0_468,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_436]) ).

cnf(c_0_469,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_437]) ).

cnf(c_0_470,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_31]),c_0_438]) ).

cnf(c_0_471,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_350,c_0_34]) ).

cnf(c_0_472,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_409,c_0_34]) ).

cnf(c_0_473,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_439]),c_0_440]) ).

cnf(c_0_474,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_31]) ).

cnf(c_0_475,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_442]),c_0_384]) ).

cnf(c_0_476,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_443]) ).

cnf(c_0_477,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_444]) ).

cnf(c_0_478,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_445,c_0_31]) ).

cnf(c_0_479,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_446]) ).

cnf(c_0_480,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_447]) ).

cnf(c_0_481,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_448]) ).

cnf(c_0_482,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_449,c_0_31]) ).

cnf(c_0_483,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_419,c_0_34]) ).

cnf(c_0_484,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_450]),c_0_451]) ).

cnf(c_0_485,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_452,c_0_34]) ).

cnf(c_0_486,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_453]) ).

cnf(c_0_487,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_454]),c_0_455]) ).

cnf(c_0_488,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_425,c_0_34]) ).

cnf(c_0_489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_456]) ).

cnf(c_0_490,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_457,c_0_31]) ).

cnf(c_0_491,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_458,c_0_31]) ).

cnf(c_0_492,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_459]) ).

cnf(c_0_493,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_31]),c_0_460]) ).

cnf(c_0_494,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_461,c_0_31]) ).

cnf(c_0_495,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_462]) ).

cnf(c_0_496,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_463]),c_0_464]) ).

cnf(c_0_497,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_465]) ).

cnf(c_0_498,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_466]),c_0_467]) ).

cnf(c_0_499,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_468,c_0_31]) ).

cnf(c_0_500,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_469]),c_0_470]) ).

cnf(c_0_501,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_471]) ).

cnf(c_0_502,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_472]),c_0_473]) ).

cnf(c_0_503,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_382,c_0_34]) ).

cnf(c_0_504,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_34]) ).

cnf(c_0_505,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_474]),c_0_475]) ).

cnf(c_0_506,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_476,c_0_31]) ).

cnf(c_0_507,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_477,c_0_31]) ).

cnf(c_0_508,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_478]) ).

cnf(c_0_509,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_479,c_0_34]) ).

cnf(c_0_510,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_479,c_0_31]) ).

cnf(c_0_511,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_31]) ).

cnf(c_0_512,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_31]),c_0_481]) ).

cnf(c_0_513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_482]) ).

cnf(c_0_514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_483]),c_0_484]) ).

cnf(c_0_515,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_485]) ).

cnf(c_0_516,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_31]),c_0_487]) ).

cnf(c_0_517,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_488]) ).

cnf(c_0_518,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_489,c_0_34]) ).

cnf(c_0_519,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_489,c_0_31]) ).

cnf(c_0_520,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_251]) ).

cnf(c_0_521,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_490]) ).

cnf(c_0_522,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_491]) ).

cnf(c_0_523,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_264,c_0_34]) ).

cnf(c_0_524,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_492,c_0_31]) ).

cnf(c_0_525,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_493]),c_0_429]) ).

cnf(c_0_526,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_461,c_0_34]) ).

cnf(c_0_527,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_494]),c_0_429]) ).

cnf(c_0_528,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_31]),c_0_496]) ).

cnf(c_0_529,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_497,c_0_31]) ).

cnf(c_0_530,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_498]),c_0_423]) ).

cnf(c_0_531,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_499]),c_0_500]) ).

cnf(c_0_532,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_501,c_0_31]) ).

cnf(c_0_533,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_502]),c_0_440]) ).

cnf(c_0_534,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_503]) ).

cnf(c_0_535,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_504]),c_0_505]) ).

cnf(c_0_536,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_506]) ).

cnf(c_0_537,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_507]) ).

cnf(c_0_538,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_508,c_0_31]) ).

cnf(c_0_539,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_509]),c_0_510]) ).

cnf(c_0_540,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_511]) ).

cnf(c_0_541,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_512]) ).

cnf(c_0_542,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_513,c_0_31]) ).

cnf(c_0_543,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_514]),c_0_451]) ).

cnf(c_0_544,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_515,c_0_34]) ).

cnf(c_0_545,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_515,c_0_31]) ).

cnf(c_0_546,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_516]) ).

cnf(c_0_547,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_517,c_0_31]) ).

cnf(c_0_548,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_518]),c_0_519]) ).

cnf(c_0_549,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_34]) ).

cnf(c_0_550,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_99,c_0_34]) ).

cnf(c_0_551,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_521,c_0_31]) ).

cnf(c_0_552,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_522,c_0_31]) ).

cnf(c_0_553,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_523]) ).

cnf(c_0_554,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_492,c_0_34]) ).

cnf(c_0_555,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_524]),c_0_525]) ).

cnf(c_0_556,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_526]),c_0_527]) ).

cnf(c_0_557,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_528]) ).

cnf(c_0_558,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_497,c_0_34]) ).

cnf(c_0_559,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_529]),c_0_530]) ).

cnf(c_0_560,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_531,c_0_31]) ).

cnf(c_0_561,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_501,c_0_34]) ).

cnf(c_0_562,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_532]),c_0_533]) ).

cnf(c_0_563,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_534,c_0_31]) ).

cnf(c_0_564,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_535]),c_0_475]) ).

cnf(c_0_565,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_141,c_0_34]) ).

cnf(c_0_566,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_536,c_0_31]) ).

cnf(c_0_567,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_537,c_0_31]) ).

cnf(c_0_568,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_508,c_0_34]) ).

cnf(c_0_569,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_538]),c_0_539]) ).

cnf(c_0_570,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_540]) ).

cnf(c_0_571,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_541,c_0_34]) ).

cnf(c_0_572,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_449,c_0_34]) ).

cnf(c_0_573,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_513,c_0_34]) ).

cnf(c_0_574,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_542]),c_0_543]) ).

cnf(c_0_575,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_544]),c_0_545]) ).

cnf(c_0_576,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_149,c_0_34]) ).

cnf(c_0_577,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_546,c_0_31]) ).

cnf(c_0_578,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_517,c_0_34]) ).

cnf(c_0_579,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_547]),c_0_548]) ).

cnf(c_0_580,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_549]) ).

cnf(c_0_581,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_550]) ).

cnf(c_0_582,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_75,c_0_34]) ).

cnf(c_0_583,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_551]) ).

cnf(c_0_584,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_552]) ).

cnf(c_0_585,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_553,c_0_31]) ).

cnf(c_0_586,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_554]),c_0_555]) ).

cnf(c_0_587,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_556]),c_0_429]) ).

cnf(c_0_588,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_557,c_0_31]) ).

cnf(c_0_589,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_558]),c_0_559]) ).

cnf(c_0_590,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_560]) ).

cnf(c_0_591,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_561]),c_0_562]) ).

cnf(c_0_592,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_534,c_0_34]) ).

cnf(c_0_593,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_563]),c_0_564]) ).

cnf(c_0_594,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_565]) ).

cnf(c_0_595,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_566]) ).

cnf(c_0_596,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_567]) ).

cnf(c_0_597,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_568]),c_0_569]) ).

cnf(c_0_598,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_570,c_0_31]) ).

cnf(c_0_599,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_571]) ).

cnf(c_0_600,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_572]) ).

cnf(c_0_601,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_573]),c_0_574]) ).

cnf(c_0_602,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_541,c_0_31]) ).

cnf(c_0_603,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_575]) ).

cnf(c_0_604,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_576]) ).

cnf(c_0_605,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_577]) ).

cnf(c_0_606,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_578]),c_0_579]) ).

cnf(c_0_607,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_580,c_0_34]) ).

cnf(c_0_608,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_580,c_0_31]) ).

cnf(c_0_609,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_581,c_0_31]) ).

cnf(c_0_610,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_112,c_0_34]) ).

cnf(c_0_611,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_582]) ).

cnf(c_0_612,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_583,c_0_31]) ).

cnf(c_0_613,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_584,c_0_31]) ).

cnf(c_0_614,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_585]) ).

cnf(c_0_615,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_586]),c_0_525]) ).

cnf(c_0_616,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_587]),c_0_342]) ).

cnf(c_0_617,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_588]) ).

cnf(c_0_618,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_589]),c_0_530]) ).

cnf(c_0_619,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_531,c_0_34]) ).

cnf(c_0_620,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_590,c_0_34]) ).

cnf(c_0_621,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_106,c_0_34]) ).

cnf(c_0_622,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_591]),c_0_533]) ).

cnf(c_0_623,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_592]),c_0_593]) ).

cnf(c_0_624,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_594,c_0_31]) ).

cnf(c_0_625,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_595,c_0_31]) ).

cnf(c_0_626,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_596,c_0_31]) ).

cnf(c_0_627,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_597]),c_0_539]) ).

cnf(c_0_628,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_598]) ).

cnf(c_0_629,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_599,c_0_31]) ).

cnf(c_0_630,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_600,c_0_31]) ).

cnf(c_0_631,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_601]),c_0_543]) ).

cnf(c_0_632,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_602]) ).

cnf(c_0_633,plain,
    ( 'LE'(f(g(X1)),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_31]),c_0_603]) ).

cnf(c_0_634,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_604,c_0_31]) ).

cnf(c_0_635,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_605,c_0_31]) ).

cnf(c_0_636,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_606]),c_0_548]) ).

cnf(c_0_637,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_208,c_0_34]) ).

cnf(c_0_638,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_250,c_0_34]) ).

cnf(c_0_639,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_548]) ).

cnf(c_0_640,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_607]),c_0_608]) ).

cnf(c_0_641,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_609]) ).

cnf(c_0_642,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_610]) ).

cnf(c_0_643,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_611,c_0_31]) ).

cnf(c_0_644,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_612]),c_0_613]) ).

cnf(c_0_645,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_614,c_0_31]) ).

cnf(c_0_646,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_615]),c_0_616]) ).

cnf(c_0_647,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_617,c_0_31]) ).

cnf(c_0_648,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_618]),c_0_423]) ).

cnf(c_0_649,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_468,c_0_34]) ).

cnf(c_0_650,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_619]) ).

cnf(c_0_651,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_620]) ).

cnf(c_0_652,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_388,c_0_34]) ).

cnf(c_0_653,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_405,c_0_34]) ).

cnf(c_0_654,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_621]) ).

cnf(c_0_655,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_622]),c_0_440]) ).

cnf(c_0_656,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_623]),c_0_564]) ).

cnf(c_0_657,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_624]) ).

cnf(c_0_658,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_94,c_0_34]) ).

cnf(c_0_659,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_625]) ).

cnf(c_0_660,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_596,c_0_34]) ).

cnf(c_0_661,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_626]),c_0_627]) ).

cnf(c_0_662,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_104,c_0_31]) ).

cnf(c_0_663,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_570,c_0_34]) ).

cnf(c_0_664,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(X2)))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_628]) ).

cnf(c_0_665,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_599,c_0_34]) ).

cnf(c_0_666,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_629]) ).

cnf(c_0_667,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_600,c_0_34]) ).

cnf(c_0_668,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_630]),c_0_631]) ).

cnf(c_0_669,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_632]) ).

cnf(c_0_670,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_633]) ).

cnf(c_0_671,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_634]) ).

cnf(c_0_672,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_546,c_0_34]) ).

cnf(c_0_673,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_605,c_0_34]) ).

cnf(c_0_674,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_635]),c_0_636]) ).

cnf(c_0_675,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_34]) ).

cnf(c_0_676,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_637]) ).

cnf(c_0_677,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_638]) ).

cnf(c_0_678,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_639]),c_0_640]) ).

cnf(c_0_679,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_641,c_0_31]) ).

cnf(c_0_680,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_642,c_0_31]) ).

cnf(c_0_681,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_643]) ).

cnf(c_0_682,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_644]) ).

cnf(c_0_683,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_445,c_0_34]) ).

cnf(c_0_684,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_553,c_0_34]) ).

cnf(c_0_685,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_614,c_0_34]) ).

cnf(c_0_686,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_645]),c_0_646]) ).

cnf(c_0_687,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_557,c_0_34]) ).

cnf(c_0_688,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_617,c_0_34]) ).

cnf(c_0_689,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_647]),c_0_648]) ).

cnf(c_0_690,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_649]) ).

cnf(c_0_691,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_650,c_0_31]) ).

cnf(c_0_692,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_31]),c_0_651]) ).

cnf(c_0_693,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_652]) ).

cnf(c_0_694,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_653]) ).

cnf(c_0_695,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_654,c_0_31]) ).

cnf(c_0_696,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_655]) ).

cnf(c_0_697,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_656]),c_0_475]) ).

cnf(c_0_698,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_657,c_0_31]) ).

cnf(c_0_699,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_658]) ).

cnf(c_0_700,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_659,c_0_34]) ).

cnf(c_0_701,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_660]),c_0_661]) ).

cnf(c_0_702,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_662]) ).

cnf(c_0_703,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_663]) ).

cnf(c_0_704,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_664,c_0_34]) ).

cnf(c_0_705,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_665]) ).

cnf(c_0_706,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_666,c_0_34]) ).

cnf(c_0_707,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_666,c_0_31]) ).

cnf(c_0_708,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_667]),c_0_668]) ).

cnf(c_0_709,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_31]),c_0_670]) ).

cnf(c_0_710,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_671,c_0_31]) ).

cnf(c_0_711,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_672]) ).

cnf(c_0_712,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_673]),c_0_674]) ).

cnf(c_0_713,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_675]) ).

cnf(c_0_714,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_676,c_0_31]) ).

cnf(c_0_715,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_31]),c_0_678]) ).

cnf(c_0_716,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_679]) ).

cnf(c_0_717,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_680]) ).

cnf(c_0_718,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_681,c_0_31]) ).

cnf(c_0_719,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_682,c_0_31]) ).

cnf(c_0_720,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_683]) ).

cnf(c_0_721,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_684]) ).

cnf(c_0_722,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_685]),c_0_686]) ).

cnf(c_0_723,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_687]) ).

cnf(c_0_724,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_688]),c_0_689]) ).

cnf(c_0_725,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_690,c_0_31]) ).

cnf(c_0_726,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_650,c_0_34]) ).

cnf(c_0_727,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_691]),c_0_692]) ).

cnf(c_0_728,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_693,c_0_31]) ).

cnf(c_0_729,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_694,c_0_31]) ).

cnf(c_0_730,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_695]) ).

cnf(c_0_731,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_696]),c_0_697]) ).

cnf(c_0_732,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_594,c_0_34]) ).

cnf(c_0_733,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_657,c_0_34]) ).

cnf(c_0_734,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_698]),c_0_332]) ).

cnf(c_0_735,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_73,c_0_34]) ).

cnf(c_0_736,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_699,c_0_31]) ).

cnf(c_0_737,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_700]) ).

cnf(c_0_738,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_701]),c_0_627]) ).

cnf(c_0_739,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_537,c_0_34]) ).

cnf(c_0_740,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_702]) ).

cnf(c_0_741,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_703,c_0_31]) ).

cnf(c_0_742,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_704]) ).

cnf(c_0_743,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_705,c_0_31]) ).

cnf(c_0_744,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_706]),c_0_707]) ).

cnf(c_0_745,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_708]),c_0_631]) ).

cnf(c_0_746,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_669,c_0_34]) ).

cnf(c_0_747,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_451]) ).

cnf(c_0_748,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_709]) ).

cnf(c_0_749,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_710]) ).

cnf(c_0_750,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_711,c_0_31]) ).

cnf(c_0_751,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_712]),c_0_636]) ).

cnf(c_0_752,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_713,c_0_31]) ).

cnf(c_0_753,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_714]) ).

cnf(c_0_754,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_715]) ).

cnf(c_0_755,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_716,c_0_31]) ).

cnf(c_0_756,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_717,c_0_31]) ).

cnf(c_0_757,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_718]) ).

cnf(c_0_758,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_719]) ).

cnf(c_0_759,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_720,c_0_31]) ).

cnf(c_0_760,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_721,c_0_31]) ).

cnf(c_0_761,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_722]),c_0_646]) ).

cnf(c_0_762,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_34]),c_0_496]) ).

cnf(c_0_763,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_723,c_0_31]) ).

cnf(c_0_764,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_724]),c_0_648]) ).

cnf(c_0_765,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_725]) ).

cnf(c_0_766,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_726]),c_0_727]) ).

cnf(c_0_767,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_728]) ).

cnf(c_0_768,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_729]) ).

cnf(c_0_769,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_31]),c_0_731]) ).

cnf(c_0_770,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_732]) ).

cnf(c_0_771,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_733]),c_0_734]) ).

cnf(c_0_772,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_735]) ).

cnf(c_0_773,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_736]) ).

cnf(c_0_774,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_595,c_0_34]) ).

cnf(c_0_775,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_737]),c_0_738]) ).

cnf(c_0_776,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_739]) ).

cnf(c_0_777,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_740,c_0_34]) ).

cnf(c_0_778,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_703,c_0_34]) ).

cnf(c_0_779,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_741]) ).

cnf(c_0_780,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_742,c_0_34]) ).

cnf(c_0_781,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_742,c_0_31]) ).

cnf(c_0_782,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_705,c_0_34]) ).

cnf(c_0_783,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_743]),c_0_744]) ).

cnf(c_0_784,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_745]),c_0_543]) ).

cnf(c_0_785,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_746]) ).

cnf(c_0_786,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_747]),c_0_575]) ).

cnf(c_0_787,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_748]) ).

cnf(c_0_788,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_749,c_0_31]) ).

cnf(c_0_789,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_711,c_0_34]) ).

cnf(c_0_790,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_750]),c_0_751]) ).

cnf(c_0_791,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_752]) ).

cnf(c_0_792,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_753,c_0_31]) ).

cnf(c_0_793,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_754,c_0_31]) ).

cnf(c_0_794,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_755]) ).

cnf(c_0_795,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_756]) ).

cnf(c_0_796,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_31]),c_0_758]) ).

cnf(c_0_797,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_720,c_0_34]) ).

cnf(c_0_798,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_759]),c_0_627]) ).

cnf(c_0_799,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_721,c_0_34]) ).

cnf(c_0_800,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_760]),c_0_761]) ).

cnf(c_0_801,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_415,c_0_31]) ).

cnf(c_0_802,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_762]) ).

cnf(c_0_803,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_723,c_0_34]) ).

cnf(c_0_804,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_763]),c_0_764]) ).

cnf(c_0_805,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_765,c_0_31]) ).

cnf(c_0_806,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_766]),c_0_692]) ).

cnf(c_0_807,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_767,c_0_31]) ).

cnf(c_0_808,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_768,c_0_31]) ).

cnf(c_0_809,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_769]) ).

cnf(c_0_810,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_770,c_0_31]) ).

cnf(c_0_811,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_771]),c_0_332]) ).

cnf(c_0_812,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_772,c_0_31]) ).

cnf(c_0_813,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_773,c_0_31]) ).

cnf(c_0_814,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_774]) ).

cnf(c_0_815,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_31]),c_0_775]) ).

cnf(c_0_816,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_776,c_0_31]) ).

cnf(c_0_817,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_777]) ).

cnf(c_0_818,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_778]) ).

cnf(c_0_819,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_779,c_0_34]) ).

cnf(c_0_820,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_779,c_0_31]) ).

cnf(c_0_821,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_780]),c_0_781]) ).

cnf(c_0_822,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_682,c_0_34]) ).

cnf(c_0_823,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_782]),c_0_783]) ).

cnf(c_0_824,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_784]) ).

cnf(c_0_825,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_785,c_0_34]) ).

cnf(c_0_826,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_785,c_0_31]) ).

cnf(c_0_827,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_786]) ).

cnf(c_0_828,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_787,c_0_34]) ).

cnf(c_0_829,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_788]) ).

cnf(c_0_830,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_789]),c_0_790]) ).

cnf(c_0_831,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_791,c_0_31]) ).

cnf(c_0_832,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_792]) ).

cnf(c_0_833,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_754,c_0_34]) ).

cnf(c_0_834,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_793]),c_0_437]) ).

cnf(c_0_835,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_794,c_0_31]) ).

cnf(c_0_836,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_795,c_0_31]) ).

cnf(c_0_837,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_796]) ).

cnf(c_0_838,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_797]),c_0_798]) ).

cnf(c_0_839,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_799]),c_0_800]) ).

cnf(c_0_840,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_801]) ).

cnf(c_0_841,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_802,c_0_31]) ).

cnf(c_0_842,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_803]),c_0_804]) ).

cnf(c_0_843,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_690,c_0_34]) ).

cnf(c_0_844,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_765,c_0_34]) ).

cnf(c_0_845,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_805]),c_0_806]) ).

cnf(c_0_846,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_693,c_0_34]) ).

cnf(c_0_847,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_767,c_0_34]) ).

cnf(c_0_848,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_807]),c_0_784]) ).

cnf(c_0_849,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_808]) ).

cnf(c_0_850,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_809,c_0_31]) ).

cnf(c_0_851,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_770,c_0_34]) ).

cnf(c_0_852,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_810]),c_0_811]) ).

cnf(c_0_853,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_812]) ).

cnf(c_0_854,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_813]) ).

cnf(c_0_855,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_476,c_0_34]) ).

cnf(c_0_856,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_536,c_0_34]) ).

cnf(c_0_857,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_814,c_0_31]) ).

cnf(c_0_858,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_815]),c_0_738]) ).

cnf(c_0_859,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_776,c_0_34]) ).

cnf(c_0_860,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_816]),c_0_738]) ).

cnf(c_0_861,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_817,c_0_31]) ).

cnf(c_0_862,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_818,c_0_31]) ).

cnf(c_0_863,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_819]),c_0_820]) ).

cnf(c_0_864,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_740,c_0_31]) ).

cnf(c_0_865,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_821]) ).

cnf(c_0_866,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_822]) ).

cnf(c_0_867,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_823]),c_0_744]) ).

cnf(c_0_868,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_824]) ).

cnf(c_0_869,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_825]),c_0_826]) ).

cnf(c_0_870,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_827]) ).

cnf(c_0_871,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_828]) ).

cnf(c_0_872,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_129,c_0_34]) ).

cnf(c_0_873,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_829,c_0_34]) ).

cnf(c_0_874,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_830]),c_0_751]) ).

cnf(c_0_875,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_831]) ).

cnf(c_0_876,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_832,c_0_34]) ).

cnf(c_0_877,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_833]),c_0_834]) ).

cnf(c_0_878,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_835]),c_0_836]) ).

cnf(c_0_879,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_837,c_0_31]) ).

cnf(c_0_880,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_838]),c_0_627]) ).

cnf(c_0_881,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_839]),c_0_761]) ).

cnf(c_0_882,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_840]) ).

cnf(c_0_883,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_841]) ).

cnf(c_0_884,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_842]),c_0_764]) ).

cnf(c_0_885,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_677,c_0_34]) ).

cnf(c_0_886,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_843]) ).

cnf(c_0_887,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_844]),c_0_845]) ).

cnf(c_0_888,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_846]) ).

cnf(c_0_889,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_847]),c_0_848]) ).

cnf(c_0_890,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_849,c_0_34]) ).

cnf(c_0_891,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_850]) ).

cnf(c_0_892,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_851]),c_0_852]) ).

cnf(c_0_893,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_853,c_0_31]) ).

cnf(c_0_894,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_31]),c_0_251]) ).

cnf(c_0_895,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_855]) ).

cnf(c_0_896,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_856]) ).

cnf(c_0_897,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_814,c_0_34]) ).

cnf(c_0_898,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_857]),c_0_858]) ).

cnf(c_0_899,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_859]),c_0_860]) ).

cnf(c_0_900,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_477,c_0_34]) ).

cnf(c_0_901,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_817,c_0_34]) ).

cnf(c_0_902,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_861]) ).

cnf(c_0_903,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_818,c_0_34]) ).

cnf(c_0_904,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_862]),c_0_863]) ).

cnf(c_0_905,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_864]) ).

cnf(c_0_906,plain,
    ( 'LE'(f(g(X1)),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_31]),c_0_865]) ).

cnf(c_0_907,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_866,c_0_31]) ).

cnf(c_0_908,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_867]) ).

cnf(c_0_909,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_868]) ).

cnf(c_0_910,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_869]),c_0_870]) ).

cnf(c_0_911,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_31]),c_0_871]) ).

cnf(c_0_912,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_872]) ).

cnf(c_0_913,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_873]) ).

cnf(c_0_914,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_874]),c_0_636]) ).

cnf(c_0_915,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_875,c_0_31]) ).

cnf(c_0_916,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_876]) ).

cnf(c_0_917,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_877]),c_0_437]) ).

cnf(c_0_918,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_878]) ).

cnf(c_0_919,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_837,c_0_34]) ).

cnf(c_0_920,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_879]) ).

cnf(c_0_921,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_880]) ).

cnf(c_0_922,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_881]),c_0_646]) ).

cnf(c_0_923,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_882,c_0_34]) ).

cnf(c_0_924,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_882,c_0_31]) ).

cnf(c_0_925,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_627]) ).

cnf(c_0_926,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_883,c_0_31]) ).

cnf(c_0_927,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_884]),c_0_648]) ).

cnf(c_0_928,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_885]) ).

cnf(c_0_929,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_886,c_0_31]) ).

cnf(c_0_930,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_887]),c_0_806]) ).

cnf(c_0_931,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_888,c_0_31]) ).

cnf(c_0_932,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_889]),c_0_784]) ).

cnf(c_0_933,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_890]) ).

cnf(c_0_934,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_891,c_0_34]) ).

cnf(c_0_935,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_892]),c_0_811]) ).

cnf(c_0_936,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_417,c_0_34]) ).

cnf(c_0_937,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_893]) ).

cnf(c_0_938,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_773,c_0_34]) ).

cnf(c_0_939,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_854,c_0_34]) ).

cnf(c_0_940,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_894]) ).

cnf(c_0_941,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_895,c_0_31]) ).

cnf(c_0_942,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_896,c_0_31]) ).

cnf(c_0_943,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_897]),c_0_898]) ).

cnf(c_0_944,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_899]),c_0_738]) ).

cnf(c_0_945,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_900]) ).

cnf(c_0_946,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_901]) ).

cnf(c_0_947,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_902,c_0_34]) ).

cnf(c_0_948,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_902,c_0_31]) ).

cnf(c_0_949,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_903]),c_0_904]) ).

cnf(c_0_950,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_905]) ).

cnf(c_0_951,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_906]) ).

cnf(c_0_952,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_866,c_0_34]) ).

cnf(c_0_953,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_907]) ).

cnf(c_0_954,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_908]),c_0_909]) ).

cnf(c_0_955,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_910]),c_0_911]) ).

cnf(c_0_956,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_912,c_0_31]) ).

cnf(c_0_957,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_749,c_0_34]) ).

cnf(c_0_958,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_913]),c_0_914]) ).

cnf(c_0_959,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_915]) ).

cnf(c_0_960,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_916]),c_0_917]) ).

cnf(c_0_961,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_918,c_0_31]) ).

cnf(c_0_962,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_919]) ).

cnf(c_0_963,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_920]) ).

cnf(c_0_964,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_921]) ).

cnf(c_0_965,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_922]),c_0_616]) ).

cnf(c_0_966,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_923]),c_0_924]) ).

cnf(c_0_967,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_925]) ).

cnf(c_0_968,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_802,c_0_34]) ).

cnf(c_0_969,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_883,c_0_34]) ).

cnf(c_0_970,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_926]),c_0_927]) ).

cnf(c_0_971,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_753,c_0_34]) ).

cnf(c_0_972,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_928,c_0_31]) ).

cnf(c_0_973,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_886,c_0_34]) ).

cnf(c_0_974,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_929]),c_0_930]) ).

cnf(c_0_975,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_888,c_0_34]) ).

cnf(c_0_976,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_931]),c_0_932]) ).

cnf(c_0_977,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_768,c_0_34]) ).

cnf(c_0_978,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_933]),c_0_930]) ).

cnf(c_0_979,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_934]) ).

cnf(c_0_980,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_935]),c_0_332]) ).

cnf(c_0_981,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_936]) ).

cnf(c_0_982,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_31]),c_0_176]) ).

cnf(c_0_983,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_699,c_0_34]) ).

cnf(c_0_984,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_938]) ).

cnf(c_0_985,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_939]) ).

cnf(c_0_986,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_940,c_0_34]) ).

cnf(c_0_987,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_941]) ).

cnf(c_0_988,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_942]) ).

cnf(c_0_989,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_943]),c_0_858]) ).

cnf(c_0_990,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_944]),c_0_880]) ).

cnf(c_0_991,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_945,c_0_31]) ).

cnf(c_0_992,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_946,c_0_31]) ).

cnf(c_0_993,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_947]),c_0_948]) ).

cnf(c_0_994,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_475]) ).

cnf(c_0_995,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_949]),c_0_863]) ).

cnf(c_0_996,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_950,c_0_34]) ).

cnf(c_0_997,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_863]) ).

cnf(c_0_998,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_950,c_0_31]),c_0_951]) ).

cnf(c_0_999,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_952]) ).

cnf(c_0_1000,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_953,c_0_34]) ).

cnf(c_0_1001,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_953,c_0_31]) ).

cnf(c_0_1002,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2)))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_758]) ).

cnf(c_0_1003,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_954]),c_0_955]) ).

cnf(c_0_1004,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_956]) ).

cnf(c_0_1005,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_957]) ).

cnf(c_0_1006,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_829,c_0_31]),c_0_958]) ).

cnf(c_0_1007,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_959,c_0_34]) ).

cnf(c_0_1008,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_832,c_0_31]),c_0_960]) ).

cnf(c_0_1009,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_918,c_0_34]) ).

cnf(c_0_1010,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_961]) ).

cnf(c_0_1011,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_962,c_0_34]) ).

cnf(c_0_1012,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_962,c_0_31]) ).

cnf(c_0_1013,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_963,c_0_34]) ).

cnf(c_0_1014,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_964]),c_0_965]) ).

cnf(c_0_1015,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_966]),c_0_616]) ).

cnf(c_0_1016,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_967]),c_0_616]) ).

cnf(c_0_1017,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_968]) ).

cnf(c_0_1018,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_969]),c_0_970]) ).

cnf(c_0_1019,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_971]) ).

cnf(c_0_1020,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_928,c_0_34]) ).

cnf(c_0_1021,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_972]),c_0_917]) ).

cnf(c_0_1022,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_973]),c_0_974]) ).

cnf(c_0_1023,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_975]),c_0_976]) ).

cnf(c_0_1024,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_977]) ).

cnf(c_0_1025,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_31]),c_0_978]) ).

cnf(c_0_1026,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_809,c_0_34]) ).

cnf(c_0_1027,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_979]),c_0_980]) ).

cnf(c_0_1028,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_981,c_0_31]) ).

cnf(c_0_1029,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_982]) ).

cnf(c_0_1030,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_983]) ).

cnf(c_0_1031,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_984,c_0_31]) ).

cnf(c_0_1032,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_31]),c_0_678]) ).

cnf(c_0_1033,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_986]) ).

cnf(c_0_1034,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_987,c_0_31]) ).

cnf(c_0_1035,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_988,c_0_31]) ).

cnf(c_0_1036,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_989]),c_0_990]) ).

cnf(c_0_1037,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_991]) ).

cnf(c_0_1038,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_946,c_0_34]) ).

cnf(c_0_1039,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_992]),c_0_993]) ).

cnf(c_0_1040,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_994]),c_0_995]) ).

cnf(c_0_1041,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_996]) ).

cnf(c_0_1042,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_997]),c_0_821]) ).

cnf(c_0_1043,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_998]) ).

cnf(c_0_1044,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_999,c_0_31]) ).

cnf(c_0_1045,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1000]),c_0_1001]) ).

cnf(c_0_1046,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1002,c_0_34]) ).

cnf(c_0_1047,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1002,c_0_31]) ).

cnf(c_0_1048,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_1003]) ).

cnf(c_0_1049,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1004,c_0_31]) ).

cnf(c_0_1050,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1005,c_0_31]) ).

cnf(c_0_1051,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1006]),c_0_914]) ).

cnf(c_0_1052,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1007]) ).

cnf(c_0_1053,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1008]),c_0_917]) ).

cnf(c_0_1054,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1009]) ).

cnf(c_0_1055,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1010]) ).

cnf(c_0_1056,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1011]),c_0_1012]) ).

cnf(c_0_1057,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1013]) ).

cnf(c_0_1058,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1014]) ).

cnf(c_0_1059,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1015]) ).

cnf(c_0_1060,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1016]) ).

cnf(c_0_1061,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1017,c_0_31]) ).

cnf(c_0_1062,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1018]),c_0_927]) ).

cnf(c_0_1063,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_676,c_0_34]) ).

cnf(c_0_1064,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1019,c_0_31]) ).

cnf(c_0_1065,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1020]),c_0_1021]) ).

cnf(c_0_1066,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1022]),c_0_930]) ).

cnf(c_0_1067,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1023]),c_0_932]) ).

cnf(c_0_1068,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_694,c_0_34]) ).

cnf(c_0_1069,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1024,c_0_31]) ).

cnf(c_0_1070,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1025]),c_0_930]) ).

cnf(c_0_1071,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1026]) ).

cnf(c_0_1072,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_31]),c_0_1027]) ).

cnf(c_0_1073,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1028]) ).

cnf(c_0_1074,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1029,c_0_34]) ).

cnf(c_0_1075,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1030,c_0_31]) ).

cnf(c_0_1076,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1031]) ).

cnf(c_0_1077,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1032]) ).

cnf(c_0_1078,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_34]) ).

cnf(c_0_1079,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_31]) ).

cnf(c_0_1080,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1034]) ).

cnf(c_0_1081,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_988,c_0_34]) ).

cnf(c_0_1082,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1035]),c_0_1036]) ).

cnf(c_0_1083,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1037,c_0_31]) ).

cnf(c_0_1084,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_731]) ).

cnf(c_0_1085,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1038]),c_0_1039]) ).

cnf(c_0_1086,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1040]) ).

cnf(c_0_1087,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1041,c_0_34]) ).

cnf(c_0_1088,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1041,c_0_31]) ).

cnf(c_0_1089,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1042]) ).

cnf(c_0_1090,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1043]) ).

cnf(c_0_1091,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_999,c_0_34]) ).

cnf(c_0_1092,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1044]),c_0_1045]) ).

cnf(c_0_1093,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1046]) ).

cnf(c_0_1094,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1047]),c_0_1048]) ).

cnf(c_0_1095,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1049]) ).

cnf(c_0_1096,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1005,c_0_34]) ).

cnf(c_0_1097,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1050]),c_0_1051]) ).

cnf(c_0_1098,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_875,c_0_34]) ).

cnf(c_0_1099,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1052]),c_0_1053]) ).

cnf(c_0_1100,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1054,c_0_34]) ).

cnf(c_0_1101,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1054,c_0_31]) ).

cnf(c_0_1102,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1055,c_0_34]) ).

cnf(c_0_1103,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1056]) ).

cnf(c_0_1104,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_963,c_0_31]),c_0_1057]) ).

cnf(c_0_1105,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1058]) ).

cnf(c_0_1106,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1059]) ).

cnf(c_0_1107,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1060]) ).

cnf(c_0_1108,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1017,c_0_34]) ).

cnf(c_0_1109,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1061]),c_0_1062]) ).

cnf(c_0_1110,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1063]) ).

cnf(c_0_1111,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1019,c_0_34]) ).

cnf(c_0_1112,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1064]),c_0_1053]) ).

cnf(c_0_1113,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1065]),c_0_917]) ).

cnf(c_0_1114,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1066]),c_0_806]) ).

cnf(c_0_1115,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1067]),c_0_784]) ).

cnf(c_0_1116,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1068]) ).

cnf(c_0_1117,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1024,c_0_34]) ).

cnf(c_0_1118,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1069]),c_0_1070]) ).

cnf(c_0_1119,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_34]),c_0_731]) ).

cnf(c_0_1120,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1071,c_0_31]) ).

cnf(c_0_1121,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1072]),c_0_980]) ).

cnf(c_0_1122,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_481]) ).

cnf(c_0_1123,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1073,c_0_31]) ).

cnf(c_0_1124,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1074]) ).

cnf(c_0_1125,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1075]) ).

cnf(c_0_1126,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1076,c_0_31]) ).

cnf(c_0_1127,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1077,c_0_31]) ).

cnf(c_0_1128,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1078]),c_0_1079]) ).

cnf(c_0_1129,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1080,c_0_34]) ).

cnf(c_0_1130,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1081]),c_0_1082]) ).

cnf(c_0_1131,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_896,c_0_34]) ).

cnf(c_0_1132,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_945,c_0_34]) ).

cnf(c_0_1133,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1037,c_0_34]) ).

cnf(c_0_1134,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1083]),c_0_990]) ).

cnf(c_0_1135,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1084]) ).

cnf(c_0_1136,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1085]),c_0_993]) ).

cnf(c_0_1137,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1086]) ).

cnf(c_0_1138,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1087]),c_0_1088]) ).

cnf(c_0_1139,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1089]) ).

cnf(c_0_1140,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_34]) ).

cnf(c_0_1141,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_31]) ).

cnf(c_0_1142,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1091]),c_0_1092]) ).

cnf(c_0_1143,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_34]) ).

cnf(c_0_1144,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_31]) ).

cnf(c_0_1145,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1094]) ).

cnf(c_0_1146,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1095,c_0_31]) ).

cnf(c_0_1147,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1096]),c_0_1097]) ).

cnf(c_0_1148,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1098]) ).

cnf(c_0_1149,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_959,c_0_31]),c_0_1099]) ).

cnf(c_0_1150,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1100]),c_0_1101]) ).

cnf(c_0_1151,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1102]) ).

cnf(c_0_1152,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1103]),c_0_1104]) ).

cnf(c_0_1153,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1048]) ).

cnf(c_0_1154,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1105]) ).

cnf(c_0_1155,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1106]) ).

cnf(c_0_1156,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1107]) ).

cnf(c_0_1157,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1108]),c_0_1109]) ).

cnf(c_0_1158,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1110,c_0_31]) ).

cnf(c_0_1159,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1111]),c_0_1112]) ).

cnf(c_0_1160,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1113]),c_0_806]) ).

cnf(c_0_1161,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1114]),c_0_1115]) ).

cnf(c_0_1162,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1116,c_0_31]) ).

cnf(c_0_1163,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1117]),c_0_1118]) ).

cnf(c_0_1164,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1119]) ).

cnf(c_0_1165,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1071,c_0_34]) ).

cnf(c_0_1166,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1120]),c_0_1121]) ).

cnf(c_0_1167,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1122,c_0_34]) ).

cnf(c_0_1168,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1123]) ).

cnf(c_0_1169,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_937,c_0_34]) ).

cnf(c_0_1170,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1124,c_0_31]) ).

cnf(c_0_1171,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1125,c_0_31]) ).

cnf(c_0_1172,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1126]) ).

cnf(c_0_1173,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1077,c_0_34]) ).

cnf(c_0_1174,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1127]),c_0_1128]) ).

cnf(c_0_1175,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1129]) ).

cnf(c_0_1176,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1130]),c_0_1036]) ).

cnf(c_0_1177,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1131]) ).

cnf(c_0_1178,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1132]) ).

cnf(c_0_1179,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1133]),c_0_1134]) ).

cnf(c_0_1180,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_464]) ).

cnf(c_0_1181,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1135]) ).

cnf(c_0_1182,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1136]) ).

cnf(c_0_1183,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1137]) ).

cnf(c_0_1184,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1138]),c_0_1139]) ).

cnf(c_0_1185,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1140]),c_0_1141]) ).

cnf(c_0_1186,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1142]),c_0_1045]) ).

cnf(c_0_1187,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1143]),c_0_1144]) ).

cnf(c_0_1188,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1145,c_0_34]) ).

cnf(c_0_1189,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1145,c_0_31]) ).

cnf(c_0_1190,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1146]) ).

cnf(c_0_1191,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1147]),c_0_1051]) ).

cnf(c_0_1192,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1148,c_0_31]) ).

cnf(c_0_1193,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1149]),c_0_1053]) ).

cnf(c_0_1194,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1150]) ).

cnf(c_0_1195,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1055,c_0_31]),c_0_1151]) ).

cnf(c_0_1196,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1152]) ).

cnf(c_0_1197,plain,
    ( 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1153]) ).

cnf(c_0_1198,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1154]) ).

cnf(c_0_1199,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1155]) ).

cnf(c_0_1200,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1156]) ).

cnf(c_0_1201,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1157]),c_0_1062]) ).

cnf(c_0_1202,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1158]) ).

cnf(c_0_1203,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1159]),c_0_1053]) ).

cnf(c_0_1204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1160]),c_0_1161]) ).

cnf(c_0_1205,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1162]) ).

cnf(c_0_1206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1163]),c_0_1070]) ).

cnf(c_0_1207,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1164,c_0_31]) ).

cnf(c_0_1208,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1165]),c_0_1166]) ).

cnf(c_0_1209,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1167]) ).

cnf(c_0_1210,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1073,c_0_34]) ).

cnf(c_0_1211,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1168,c_0_34]) ).

cnf(c_0_1212,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1169]) ).

cnf(c_0_1213,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1124,c_0_34]) ).

cnf(c_0_1214,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1170]) ).

cnf(c_0_1215,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1171]) ).

cnf(c_0_1216,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1172,c_0_34]) ).

cnf(c_0_1217,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1173]),c_0_1174]) ).

cnf(c_0_1218,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_987,c_0_34]) ).

cnf(c_0_1219,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1175]),c_0_1176]) ).

cnf(c_0_1220,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1177,c_0_31]) ).

cnf(c_0_1221,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1178,c_0_31]) ).

cnf(c_0_1222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1179]),c_0_990]) ).

cnf(c_0_1223,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1180]) ).

cnf(c_0_1224,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1181]) ).

cnf(c_0_1225,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1182]),c_0_1183]) ).

cnf(c_0_1226,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1184]),c_0_1185]) ).

cnf(c_0_1227,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1186]) ).

cnf(c_0_1228,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1187]) ).

cnf(c_0_1229,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1188]),c_0_1189]) ).

cnf(c_0_1230,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1190,c_0_31]) ).

cnf(c_0_1231,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1191]),c_0_914]) ).

cnf(c_0_1232,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1148,c_0_34]) ).

cnf(c_0_1233,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1192]),c_0_1193]) ).

cnf(c_0_1234,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1194]),c_0_1195]) ).

cnf(c_0_1235,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1196]) ).

cnf(c_0_1236,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1197]) ).

cnf(c_0_1237,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1199]),c_0_1200]) ).

cnf(c_0_1238,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1201]),c_0_927]) ).

cnf(c_0_1239,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1202,c_0_31]) ).

cnf(c_0_1240,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1203]),c_0_1204]) ).

cnf(c_0_1241,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1205,c_0_31]) ).

cnf(c_0_1242,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1206]),c_0_1161]) ).

cnf(c_0_1243,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1207]) ).

cnf(c_0_1244,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1208]),c_0_1121]) ).

cnf(c_0_1245,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1209,c_0_31]) ).

cnf(c_0_1246,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_981,c_0_34]) ).

cnf(c_0_1247,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1210]) ).

cnf(c_0_1248,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1211]) ).

cnf(c_0_1249,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1212,c_0_31]),c_0_487]) ).

cnf(c_0_1250,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1213]) ).

cnf(c_0_1251,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_34]) ).

cnf(c_0_1252,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_31]) ).

cnf(c_0_1253,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1215,c_0_31]) ).

cnf(c_0_1254,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1216]) ).

cnf(c_0_1255,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1217]),c_0_1128]) ).

cnf(c_0_1256,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1218]) ).

cnf(c_0_1257,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1080,c_0_31]),c_0_1219]) ).

cnf(c_0_1258,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1177,c_0_34]) ).

cnf(c_0_1259,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1220]),c_0_1176]) ).

cnf(c_0_1260,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1178,c_0_34]) ).

cnf(c_0_1261,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1221]),c_0_1222]) ).

cnf(c_0_1262,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1223]),c_0_1224]) ).

cnf(c_0_1263,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1225]),c_0_1226]) ).

cnf(c_0_1264,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1227]) ).

cnf(c_0_1265,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1228]),c_0_1229]),c_0_1048]) ).

cnf(c_0_1266,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1230]),c_0_1231]) ).

cnf(c_0_1267,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1232]),c_0_1233]) ).

cnf(c_0_1268,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1234]) ).

cnf(c_0_1269,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1235]) ).

cnf(c_0_1270,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1236,c_0_1237]) ).

cnf(c_0_1271,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1238]),c_0_648]) ).

cnf(c_0_1272,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1110,c_0_34]) ).

cnf(c_0_1273,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1202,c_0_34]) ).

cnf(c_0_1274,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1239]),c_0_1240]) ).

cnf(c_0_1275,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1116,c_0_34]) ).

cnf(c_0_1276,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1205,c_0_34]) ).

cnf(c_0_1277,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1241]),c_0_1242]) ).

cnf(c_0_1278,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1243,c_0_31]) ).

cnf(c_0_1279,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1244]),c_0_980]) ).

cnf(c_0_1280,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1209,c_0_34]) ).

cnf(c_0_1281,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1245]) ).

cnf(c_0_1282,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1246]) ).

cnf(c_0_1283,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1247,c_0_31]) ).

cnf(c_0_1284,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1168,c_0_31]),c_0_1248]) ).

cnf(c_0_1285,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1249]) ).

cnf(c_0_1286,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1250,c_0_31]) ).

cnf(c_0_1287,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1251]),c_0_1252]) ).

cnf(c_0_1288,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1253]) ).

cnf(c_0_1289,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1254]),c_0_1255]) ).

cnf(c_0_1290,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_895,c_0_34]) ).

cnf(c_0_1291,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1256,c_0_31]) ).

cnf(c_0_1292,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1257]),c_0_1176]) ).

cnf(c_0_1293,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1258]),c_0_1259]) ).

cnf(c_0_1294,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1260]),c_0_1261]) ).

cnf(c_0_1295,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1262]),c_0_1263]) ).

cnf(c_0_1296,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1264]),c_0_1265]),c_0_1048]) ).

cnf(c_0_1297,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1266]) ).

cnf(c_0_1298,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1267]),c_0_1193]) ).

cnf(c_0_1299,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1268]) ).

cnf(c_0_1300,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1269]),c_0_1270]) ).

cnf(c_0_1301,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1271]) ).

cnf(c_0_1302,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1272]) ).

cnf(c_0_1303,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1273]),c_0_1274]) ).

cnf(c_0_1304,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1275]) ).

cnf(c_0_1305,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1276]),c_0_1277]) ).

cnf(c_0_1306,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1164,c_0_34]) ).

cnf(c_0_1307,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1243,c_0_34]) ).

cnf(c_0_1308,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1278]),c_0_1279]) ).

cnf(c_0_1309,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1280]) ).

cnf(c_0_1310,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1281,c_0_34]) ).

cnf(c_0_1311,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1281,c_0_31]) ).

cnf(c_0_1312,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1282,c_0_31]) ).

cnf(c_0_1313,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1247,c_0_34]) ).

cnf(c_0_1314,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1283]),c_0_1284]) ).

cnf(c_0_1315,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_853,c_0_34]) ).

cnf(c_0_1316,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1285,c_0_31]) ).

cnf(c_0_1317,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1250,c_0_34]) ).

cnf(c_0_1318,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1286]),c_0_1287]) ).

cnf(c_0_1319,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1288,c_0_34]) ).

cnf(c_0_1320,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_31]),c_0_1289]) ).

cnf(c_0_1321,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1290]) ).

cnf(c_0_1322,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1256,c_0_34]) ).

cnf(c_0_1323,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1291]),c_0_1292]) ).

cnf(c_0_1324,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1293]),c_0_1176]) ).

cnf(c_0_1325,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1294]),c_0_1222]) ).

cnf(c_0_1326,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1295]) ).

cnf(c_0_1327,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1296]) ).

cnf(c_0_1328,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1297,c_0_34]) ).

cnf(c_0_1329,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1297,c_0_31]) ).

cnf(c_0_1330,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1298]),c_0_1240]) ).

cnf(c_0_1331,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1299]),c_0_1300]) ).

cnf(c_0_1332,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1301]) ).

cnf(c_0_1333,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1302,c_0_31]) ).

cnf(c_0_1334,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1303]),c_0_1240]) ).

cnf(c_0_1335,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1304,c_0_31]) ).

cnf(c_0_1336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1305]),c_0_1242]) ).

cnf(c_0_1337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1306]) ).

cnf(c_0_1338,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1307]),c_0_1308]) ).

cnf(c_0_1339,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1309,c_0_31]) ).

cnf(c_0_1340,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1310]),c_0_1311]) ).

cnf(c_0_1341,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_358,c_0_34]) ).

cnf(c_0_1342,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1312]) ).

cnf(c_0_1343,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1313]),c_0_1314]) ).

cnf(c_0_1344,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1315]) ).

cnf(c_0_1345,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1316]) ).

cnf(c_0_1346,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1317]),c_0_1318]) ).

cnf(c_0_1347,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1319]) ).

cnf(c_0_1348,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1320]),c_0_1255]) ).

cnf(c_0_1349,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1076,c_0_34]) ).

cnf(c_0_1350,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_985,c_0_34]) ).

cnf(c_0_1351,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1321,c_0_31]) ).

cnf(c_0_1352,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1322]),c_0_1323]) ).

cnf(c_0_1353,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1324]),c_0_1036]) ).

cnf(c_0_1354,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1325]),c_0_990]) ).

cnf(c_0_1355,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1326,c_0_1327]) ).

cnf(c_0_1356,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1327]) ).

cnf(c_0_1357,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1328]),c_0_1329]) ).

cnf(c_0_1358,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1330]) ).

cnf(c_0_1359,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1331]) ).

cnf(c_0_1360,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1332]) ).

cnf(c_0_1361,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1302,c_0_34]) ).

cnf(c_0_1362,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1333]),c_0_1334]) ).

cnf(c_0_1363,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1304,c_0_34]) ).

cnf(c_0_1364,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1335]),c_0_1336]) ).

cnf(c_0_1365,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1337,c_0_31]) ).

cnf(c_0_1366,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1338]),c_0_1279]) ).

cnf(c_0_1367,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1309,c_0_34]) ).

cnf(c_0_1368,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1339]),c_0_1340]) ).

cnf(c_0_1369,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1341]) ).

cnf(c_0_1370,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1342,c_0_31]) ).

cnf(c_0_1371,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1343]),c_0_1284]) ).

cnf(c_0_1372,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1344,c_0_31]) ).

cnf(c_0_1373,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1345,c_0_31]) ).

cnf(c_0_1374,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1346]),c_0_1287]) ).

cnf(c_0_1375,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1215,c_0_34]) ).

cnf(c_0_1376,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1347]),c_0_1348]) ).

cnf(c_0_1377,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1349]) ).

cnf(c_0_1378,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1350]) ).

cnf(c_0_1379,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1351]) ).

cnf(c_0_1380,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1352]),c_0_1292]) ).

cnf(c_0_1381,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1353]),c_0_1354]) ).

cnf(c_0_1382,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1355]) ).

cnf(c_0_1383,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1356]) ).

cnf(c_0_1384,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1357]) ).

cnf(c_0_1385,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1358]) ).

cnf(c_0_1386,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1359,c_0_1360]) ).

cnf(c_0_1387,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1361]),c_0_1362]) ).

cnf(c_0_1388,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1363]),c_0_1364]) ).

cnf(c_0_1389,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1337,c_0_34]) ).

cnf(c_0_1390,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1365]),c_0_1366]) ).

cnf(c_0_1391,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1367]),c_0_1368]) ).

cnf(c_0_1392,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1369,c_0_31]) ).

cnf(c_0_1393,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1282,c_0_34]) ).

cnf(c_0_1394,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1342,c_0_34]) ).

cnf(c_0_1395,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1370]),c_0_1371]) ).

cnf(c_0_1396,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1372]) ).

cnf(c_0_1397,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1285,c_0_34]) ).

cnf(c_0_1398,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1345,c_0_34]) ).

cnf(c_0_1399,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1373]),c_0_1374]) ).

cnf(c_0_1400,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1375]) ).

cnf(c_0_1401,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_31]),c_0_1376]) ).

cnf(c_0_1402,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1377,c_0_31]) ).

cnf(c_0_1403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1378,c_0_31]) ).

cnf(c_0_1404,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1379,c_0_31]) ).

cnf(c_0_1405,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1380]),c_0_1381]) ).

cnf(c_0_1406,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1382,c_0_1299]),c_0_1383]) ).

cnf(c_0_1407,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1384]) ).

cnf(c_0_1408,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1359,c_0_1385]),c_0_1386]),c_0_142]) ).

cnf(c_0_1409,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1387]),c_0_1334]) ).

cnf(c_0_1410,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1388]),c_0_1336]) ).

cnf(c_0_1411,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1389]),c_0_1390]) ).

cnf(c_0_1412,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_480,c_0_34]) ).

cnf(c_0_1413,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1371]) ).

cnf(c_0_1414,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1391]),c_0_1340]) ).

cnf(c_0_1415,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1392]) ).

cnf(c_0_1416,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1393]) ).

cnf(c_0_1417,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1394]),c_0_1395]) ).

cnf(c_0_1418,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1396,c_0_31]) ).

cnf(c_0_1419,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1397]) ).

cnf(c_0_1420,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1398]),c_0_1399]) ).

cnf(c_0_1421,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_34]) ).

cnf(c_0_1422,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1400,c_0_31]) ).

cnf(c_0_1423,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1401]),c_0_1348]) ).

cnf(c_0_1424,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1377,c_0_34]) ).

cnf(c_0_1425,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1402]),c_0_1348]) ).

cnf(c_0_1426,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1378,c_0_34]) ).

cnf(c_0_1427,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1403]),c_0_1255]) ).

cnf(c_0_1428,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1321,c_0_34]) ).

cnf(c_0_1429,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1379,c_0_34]) ).

cnf(c_0_1430,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1404]),c_0_1405]) ).

cnf(c_0_1431,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1406]) ).

cnf(c_0_1432,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1407]),c_0_1408]) ).

cnf(c_0_1433,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1409]),c_0_1240]) ).

cnf(c_0_1434,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1410]),c_0_1242]) ).

cnf(c_0_1435,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1411]),c_0_1366]) ).

cnf(c_0_1436,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1412]) ).

cnf(c_0_1437,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1413]),c_0_1414]) ).

cnf(c_0_1438,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_31]),c_0_496]) ).

cnf(c_0_1439,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1416,c_0_31]) ).

cnf(c_0_1440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1417]),c_0_1371]) ).

cnf(c_0_1441,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1418]) ).

cnf(c_0_1442,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1419,c_0_31]) ).

cnf(c_0_1443,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1420]),c_0_1374]) ).

cnf(c_0_1444,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1029,c_0_31]) ).

cnf(c_0_1445,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1421]) ).

cnf(c_0_1446,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1400,c_0_34]) ).

cnf(c_0_1447,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1422]),c_0_1423]) ).

cnf(c_0_1448,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1424]),c_0_1425]) ).

cnf(c_0_1449,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1426]),c_0_1427]) ).

cnf(c_0_1450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1428]) ).

cnf(c_0_1451,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1429]),c_0_1430]) ).

cnf(c_0_1452,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1431,c_0_1432]) ).

cnf(c_0_1453,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1433]),c_0_1204]) ).

cnf(c_0_1454,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1434]),c_0_1161]) ).

cnf(c_0_1455,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1435]),c_0_1279]) ).

cnf(c_0_1456,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1436,c_0_31]),c_0_1437]) ).

cnf(c_0_1457,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1438]) ).

cnf(c_0_1458,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1416,c_0_34]) ).

cnf(c_0_1459,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1439]),c_0_1440]) ).

cnf(c_0_1460,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1441,c_0_31]) ).

cnf(c_0_1461,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1419,c_0_34]) ).

cnf(c_0_1462,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1442]),c_0_1443]) ).

cnf(c_0_1463,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1444]) ).

cnf(c_0_1464,plain,
    ( 'LE'(f(g(g(X1))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1445,c_0_31]) ).

cnf(c_0_1465,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1446]),c_0_1447]) ).

cnf(c_0_1466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1448]),c_0_1348]) ).

cnf(c_0_1467,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1449]),c_0_1255]) ).

cnf(c_0_1468,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_1450,c_0_31]) ).

cnf(c_0_1469,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1451]),c_0_1405]) ).

cnf(c_0_1470,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1452]) ).

cnf(c_0_1471,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1453]),c_0_1454]) ).

cnf(c_0_1472,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1455]),c_0_980]) ).

cnf(c_0_1473,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1456]) ).

cnf(c_0_1474,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1457,c_0_31]) ).

cnf(c_0_1475,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1458]),c_0_1459]) ).

cnf(c_0_1476,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1460]) ).

cnf(c_0_1477,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1461]),c_0_1462]) ).

cnf(c_0_1478,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1463]) ).

cnf(c_0_1479,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1464]) ).

cnf(c_0_1480,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1465]),c_0_1423]) ).

cnf(c_0_1481,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1466]),c_0_1467]) ).

cnf(c_0_1482,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1450,c_0_34]) ).

cnf(c_0_1483,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1468]),c_0_1469]) ).

cnf(c_0_1484,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1470,c_0_1385]),c_0_1471]) ).

cnf(c_0_1485,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1472]) ).

cnf(c_0_1486,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_416,c_0_34]) ).

cnf(c_0_1487,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1473,c_0_31]) ).

cnf(c_0_1488,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1474]) ).

cnf(c_0_1489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1475]),c_0_1440]) ).

cnf(c_0_1490,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_772,c_0_34]) ).

cnf(c_0_1491,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1476,c_0_34]) ).

cnf(c_0_1492,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1477]),c_0_1443]) ).

cnf(c_0_1493,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1478,c_0_34]) ).

cnf(c_0_1494,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1479,c_0_31]) ).

cnf(c_0_1495,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1480]),c_0_1481]) ).

cnf(c_0_1496,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1482]),c_0_1483]) ).

cnf(c_0_1497,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1484,c_0_1161]) ).

cnf(c_0_1498,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1471]) ).

cnf(c_0_1499,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1485]) ).

cnf(c_0_1500,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1486]) ).

cnf(c_0_1501,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1487]) ).

cnf(c_0_1502,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_255,c_0_34]) ).

cnf(c_0_1503,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1488,c_0_31]) ).

cnf(c_0_1504,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1489]),c_0_1371]) ).

cnf(c_0_1505,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1490]) ).

cnf(c_0_1506,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1491]) ).

cnf(c_0_1507,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1492]),c_0_1374]) ).

cnf(c_0_1508,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1493]) ).

cnf(c_0_1509,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1494]) ).

cnf(c_0_1510,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1495]) ).

cnf(c_0_1511,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1432]) ).

cnf(c_0_1512,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1496]),c_0_1469]) ).

cnf(c_0_1513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1497,c_0_784]),c_0_1498]) ).

cnf(c_0_1514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1161]),c_0_1499]) ).

cnf(c_0_1515,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1500,c_0_31]) ).

cnf(c_0_1516,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1501,c_0_31]) ).

cnf(c_0_1517,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_1502]) ).

cnf(c_0_1518,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1457,c_0_34]) ).

cnf(c_0_1519,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1488,c_0_34]) ).

cnf(c_0_1520,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1503]),c_0_1504]) ).

cnf(c_0_1521,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1505,c_0_31]) ).

cnf(c_0_1522,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1441,c_0_34]) ).

cnf(c_0_1523,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1506]),c_0_1507]) ).

cnf(c_0_1524,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_397,c_0_34]) ).

cnf(c_0_1525,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1508,c_0_34]) ).

cnf(c_0_1526,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1508,c_0_31]) ).

cnf(c_0_1527,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1509,c_0_31]),c_0_1463]) ).

cnf(c_0_1528,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1510]) ).

cnf(c_0_1529,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1511]) ).

cnf(c_0_1530,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1512]),c_0_1405]) ).

cnf(c_0_1531,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1513]) ).

cnf(c_0_1532,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1514]) ).

cnf(c_0_1533,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1498]) ).

cnf(c_0_1534,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1515]) ).

cnf(c_0_1535,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1473,c_0_34]) ).

cnf(c_0_1536,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1501,c_0_34]) ).

cnf(c_0_1537,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1516]),c_0_867]) ).

cnf(c_0_1538,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1517,c_0_31]) ).

cnf(c_0_1539,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_303,c_0_34]) ).

cnf(c_0_1540,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1518]) ).

cnf(c_0_1541,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1519]),c_0_1520]) ).

cnf(c_0_1542,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1521]) ).

cnf(c_0_1543,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1522]) ).

cnf(c_0_1544,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1476,c_0_31]),c_0_1523]) ).

cnf(c_0_1545,plain,
    ( 'LE'(f(X1),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_1524]) ).

cnf(c_0_1546,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1479,c_0_34]) ).

cnf(c_0_1547,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1509,c_0_34]) ).

cnf(c_0_1548,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1287]) ).

cnf(c_0_1549,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1525]),c_0_1526]) ).

cnf(c_0_1550,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1527]) ).

cnf(c_0_1551,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_163,c_0_34]) ).

cnf(c_0_1552,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_654,c_0_34]) ).

cnf(c_0_1553,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1470,c_0_1528]),c_0_1529]),c_0_1408]) ).

cnf(c_0_1554,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1530]),c_0_1381]) ).

cnf(c_0_1555,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1531,c_0_786]),c_0_1532]),c_0_1533]) ).

cnf(c_0_1556,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_357,c_0_34]) ).

cnf(c_0_1557,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1534,c_0_31]) ).

cnf(c_0_1558,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1535]) ).

cnf(c_0_1559,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1536]),c_0_1537]) ).

cnf(c_0_1560,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1538]) ).

cnf(c_0_1561,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1539]) ).

cnf(c_0_1562,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_34]),c_0_496]) ).

cnf(c_0_1563,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1540,c_0_31]) ).

cnf(c_0_1564,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1541]),c_0_1504]) ).

cnf(c_0_1565,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1542,c_0_31]) ).

cnf(c_0_1566,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1543,c_0_31]) ).

cnf(c_0_1567,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1544]),c_0_1507]) ).

cnf(c_0_1568,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1545,c_0_31]) ).

cnf(c_0_1569,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_457,c_0_34]) ).

cnf(c_0_1570,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1546]) ).

cnf(c_0_1571,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1547]) ).

cnf(c_0_1572,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1548]),c_0_1549]) ).

cnf(c_0_1573,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1550,c_0_34]) ).

cnf(c_0_1574,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1551]) ).

cnf(c_0_1575,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1552]) ).

cnf(c_0_1576,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1500,c_0_34]) ).

cnf(c_0_1577,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_1554]),c_0_1381]),c_0_1555]) ).

cnf(c_0_1578,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1554]) ).

cnf(c_0_1579,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1556]) ).

cnf(c_0_1580,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1557]) ).

cnf(c_0_1581,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1558,c_0_31]) ).

cnf(c_0_1582,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1559]),c_0_867]) ).

cnf(c_0_1583,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1560,c_0_31]) ).

cnf(c_0_1584,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1561,c_0_31]) ).

cnf(c_0_1585,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1562]) ).

cnf(c_0_1586,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1540,c_0_34]) ).

cnf(c_0_1587,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1563]),c_0_1564]) ).

cnf(c_0_1588,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_108,c_0_31]) ).

cnf(c_0_1589,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1565]) ).

cnf(c_0_1590,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1543,c_0_34]) ).

cnf(c_0_1591,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1566]),c_0_1567]) ).

cnf(c_0_1592,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1568]) ).

cnf(c_0_1593,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1569]) ).

cnf(c_0_1594,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1570,c_0_31]) ).

cnf(c_0_1595,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1571,c_0_31]),c_0_1572]) ).

cnf(c_0_1596,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1573]) ).

cnf(c_0_1597,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1574,c_0_31]) ).

cnf(c_0_1598,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1575,c_0_31]) ).

cnf(c_0_1599,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1576]) ).

cnf(c_0_1600,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1577,c_0_990]),c_0_1578]),c_0_1555]) ).

cnf(c_0_1601,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1381]) ).

cnf(c_0_1602,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1579,c_0_31]) ).

cnf(c_0_1603,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1580,c_0_31]) ).

cnf(c_0_1604,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1558,c_0_34]) ).

cnf(c_0_1605,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1581]),c_0_1582]) ).

cnf(c_0_1606,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1583]) ).

cnf(c_0_1607,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1584]) ).

cnf(c_0_1608,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1585,c_0_31]) ).

cnf(c_0_1609,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1586]),c_0_1587]) ).

cnf(c_0_1610,plain,
    ( 'LE'(f(g(X1)),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_1588]) ).

cnf(c_0_1611,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1589,c_0_31]) ).

cnf(c_0_1612,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1590]),c_0_1591]) ).

cnf(c_0_1613,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1592,c_0_31]) ).

cnf(c_0_1614,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1593,c_0_31]) ).

cnf(c_0_1615,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1594]) ).

cnf(c_0_1616,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1595]) ).

cnf(c_0_1617,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1596,c_0_34]) ).

cnf(c_0_1618,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1596,c_0_31]) ).

cnf(c_0_1619,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1597]) ).

cnf(c_0_1620,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1598]) ).

cnf(c_0_1621,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1599,c_0_31]) ).

cnf(c_0_1622,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1600,c_0_627]),c_0_1601]),c_0_1578]),c_0_1555]) ).

cnf(c_0_1623,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1602]) ).

cnf(c_0_1624,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1603]) ).

cnf(c_0_1625,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1604]),c_0_1605]) ).

cnf(c_0_1626,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1606,c_0_31]) ).

cnf(c_0_1627,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1607,c_0_31]) ).

cnf(c_0_1628,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1478,c_0_31]) ).

cnf(c_0_1629,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_31]) ).

cnf(c_0_1630,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1608]) ).

cnf(c_0_1631,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1609]),c_0_1564]) ).

cnf(c_0_1632,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1610]) ).

cnf(c_0_1633,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1611]) ).

cnf(c_0_1634,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1612]),c_0_1567]) ).

cnf(c_0_1635,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1613]) ).

cnf(c_0_1636,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1614]) ).

cnf(c_0_1637,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1615,c_0_31]) ).

cnf(c_0_1638,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1616,c_0_31]) ).

cnf(c_0_1639,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1617]),c_0_1618]) ).

cnf(c_0_1640,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1619,c_0_31]) ).

cnf(c_0_1641,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1620,c_0_31]) ).

cnf(c_0_1642,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1621]) ).

cnf(c_0_1643,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1622]) ).

cnf(c_0_1644,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_31]) ).

cnf(c_0_1645,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1624,c_0_34]) ).

cnf(c_0_1646,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1625]),c_0_1582]) ).

cnf(c_0_1647,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1626]) ).

cnf(c_0_1648,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1627]) ).

cnf(c_0_1649,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1628]) ).

cnf(c_0_1650,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1629]) ).

cnf(c_0_1651,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1630,c_0_31]) ).

cnf(c_0_1652,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1631]),c_0_1504]) ).

cnf(c_0_1653,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1632,c_0_34]) ).

cnf(c_0_1654,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1633,c_0_31]) ).

cnf(c_0_1655,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1634]),c_0_1507]) ).

cnf(c_0_1656,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1635,c_0_31]) ).

cnf(c_0_1657,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1636,c_0_31]) ).

cnf(c_0_1658,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1637]) ).

cnf(c_0_1659,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1616,c_0_34]) ).

cnf(c_0_1660,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1638]),c_0_1639]) ).

cnf(c_0_1661,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1640]) ).

cnf(c_0_1662,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1641]) ).

cnf(c_0_1663,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1642,c_0_34]),c_0_1643]) ).

cnf(c_0_1664,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1644]) ).

cnf(c_0_1665,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1645]) ).

cnf(c_0_1666,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1646]),c_0_867]) ).

cnf(c_0_1667,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1647,c_0_31]) ).

cnf(c_0_1668,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1648,c_0_31]) ).

cnf(c_0_1669,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1649]) ).

cnf(c_0_1670,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1650]) ).

cnf(c_0_1671,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1585,c_0_34]) ).

cnf(c_0_1672,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1630,c_0_34]) ).

cnf(c_0_1673,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1651]),c_0_1652]) ).

cnf(c_0_1674,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1653]) ).

cnf(c_0_1675,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1654]),c_0_1655]) ).

cnf(c_0_1676,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1656]) ).

cnf(c_0_1677,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1657]) ).

cnf(c_0_1678,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1658,c_0_34]) ).

cnf(c_0_1679,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1659]),c_0_1660]) ).

cnf(c_0_1680,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1661,c_0_34]) ).

cnf(c_0_1681,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1662,c_0_34]) ).

cnf(c_0_1682,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1663]) ).

cnf(c_0_1683,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1534,c_0_34]) ).

cnf(c_0_1684,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1664,c_0_31]) ).

cnf(c_0_1685,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1665]),c_0_1666]) ).

cnf(c_0_1686,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1667]),c_0_1668]) ).

cnf(c_0_1687,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1669,c_0_34]) ).

cnf(c_0_1688,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1670,c_0_34]) ).

cnf(c_0_1689,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1671]) ).

cnf(c_0_1690,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1672]),c_0_1673]) ).

cnf(c_0_1691,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1674,c_0_31]) ).

cnf(c_0_1692,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1675]) ).

cnf(c_0_1693,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1676,c_0_31]) ).

cnf(c_0_1694,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1677,c_0_31]) ).

cnf(c_0_1695,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1678]) ).

cnf(c_0_1696,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1679]),c_0_1639]) ).

cnf(c_0_1697,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1680]) ).

cnf(c_0_1698,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1681]) ).

cnf(c_0_1699,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1599,c_0_34]) ).

cnf(c_0_1700,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1682,c_0_34]) ).

cnf(c_0_1701,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1682,c_0_31]) ).

cnf(c_0_1702,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1683]) ).

cnf(c_0_1703,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1684]) ).

cnf(c_0_1704,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1624,c_0_31]),c_0_1685]) ).

cnf(c_0_1705,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1686]) ).

cnf(c_0_1706,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1687]) ).

cnf(c_0_1707,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1688]) ).

cnf(c_0_1708,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1689,c_0_31]) ).

cnf(c_0_1709,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1690]),c_0_1652]) ).

cnf(c_0_1710,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1691]) ).

cnf(c_0_1711,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1633,c_0_34]) ).

cnf(c_0_1712,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1692,c_0_34]) ).

cnf(c_0_1713,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1693]),c_0_1694]) ).

cnf(c_0_1714,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1615,c_0_34]) ).

cnf(c_0_1715,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1695]),c_0_1696]) ).

cnf(c_0_1716,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1571,c_0_34]) ).

cnf(c_0_1717,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1619,c_0_34]) ).

cnf(c_0_1718,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1697]),c_0_533]) ).

cnf(c_0_1719,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1620,c_0_34]) ).

cnf(c_0_1720,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1698]),c_0_1472]) ).

cnf(c_0_1721,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1699]) ).

cnf(c_0_1722,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1700]),c_0_1701]) ).

cnf(c_0_1723,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1702,c_0_34]),c_0_1643]) ).

cnf(c_0_1724,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1703,c_0_31]) ).

cnf(c_0_1725,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1704]),c_0_1666]) ).

cnf(c_0_1726,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1705,c_0_31]) ).

cnf(c_0_1727,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1374]) ).

cnf(c_0_1728,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1549]) ).

cnf(c_0_1729,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1669,c_0_31]),c_0_1706]) ).

cnf(c_0_1730,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_636]) ).

cnf(c_0_1731,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_640]) ).

cnf(c_0_1732,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1670,c_0_31]),c_0_1707]) ).

cnf(c_0_1733,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1689,c_0_34]) ).

cnf(c_0_1734,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1708]),c_0_1709]) ).

cnf(c_0_1735,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1710,c_0_31]) ).

cnf(c_0_1736,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1711]) ).

cnf(c_0_1737,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1712]) ).

cnf(c_0_1738,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1713]) ).

cnf(c_0_1739,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1714]) ).

cnf(c_0_1740,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1658,c_0_31]),c_0_1715]) ).

cnf(c_0_1741,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1716]) ).

cnf(c_0_1742,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1717]) ).

cnf(c_0_1743,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1661,c_0_31]),c_0_1718]) ).

cnf(c_0_1744,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1719]) ).

cnf(c_0_1745,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1662,c_0_31]),c_0_1720]) ).

cnf(c_0_1746,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1436,c_0_34]) ).

cnf(c_0_1747,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1721,c_0_34]),c_0_1643]) ).

cnf(c_0_1748,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1722]) ).

cnf(c_0_1749,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1723]) ).

cnf(c_0_1750,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1724]),c_0_1725]) ).

cnf(c_0_1751,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1705,c_0_34]) ).

cnf(c_0_1752,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1726]) ).

cnf(c_0_1753,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1727]) ).

cnf(c_0_1754,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1728]),c_0_1729]) ).

cnf(c_0_1755,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1730]) ).

cnf(c_0_1756,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1731]),c_0_1732]) ).

cnf(c_0_1757,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1733]),c_0_1734]) ).

cnf(c_0_1758,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1735]) ).

cnf(c_0_1759,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1736,c_0_31]) ).

cnf(c_0_1760,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1692,c_0_31]),c_0_1737]) ).

cnf(c_0_1761,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1738,c_0_31]) ).

cnf(c_0_1762,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1570,c_0_34]) ).

cnf(c_0_1763,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1739,c_0_31]) ).

cnf(c_0_1764,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1740]),c_0_1696]) ).

cnf(c_0_1765,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1741,c_0_31]) ).

cnf(c_0_1766,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1574,c_0_34]) ).

cnf(c_0_1767,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1742,c_0_31]) ).

cnf(c_0_1768,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1743]),c_0_533]) ).

cnf(c_0_1769,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_984,c_0_34]) ).

cnf(c_0_1770,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1575,c_0_34]) ).

cnf(c_0_1771,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1744,c_0_31]) ).

cnf(c_0_1772,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1745]),c_0_1472]) ).

cnf(c_0_1773,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1746]) ).

cnf(c_0_1774,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1747]) ).

cnf(c_0_1775,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1642,c_0_31]),c_0_1748]),c_0_1643]) ).

cnf(c_0_1776,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1702,c_0_31]),c_0_1643]) ).

cnf(c_0_1777,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1749,c_0_31]) ).

cnf(c_0_1778,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1750]) ).

cnf(c_0_1779,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1751]) ).

cnf(c_0_1780,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1752]) ).

cnf(c_0_1781,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1753]),c_0_1754]) ).

cnf(c_0_1782,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1755]),c_0_1756]) ).

cnf(c_0_1783,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_34]),c_0_1643]) ).

cnf(c_0_1784,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1757]),c_0_1709]) ).

cnf(c_0_1785,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1710,c_0_34]) ).

cnf(c_0_1786,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1758,c_0_34]) ).

cnf(c_0_1787,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1589,c_0_34]) ).

cnf(c_0_1788,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1759]),c_0_1760]) ).

cnf(c_0_1789,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1738,c_0_34]) ).

cnf(c_0_1790,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1761]) ).

cnf(c_0_1791,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_34]) ).

cnf(c_0_1792,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1396,c_0_34]) ).

cnf(c_0_1793,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1212,c_0_34]) ).

cnf(c_0_1794,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_671,c_0_34]) ).

cnf(c_0_1795,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_486,c_0_34]) ).

cnf(c_0_1796,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1762]) ).

cnf(c_0_1797,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1739,c_0_34]) ).

cnf(c_0_1798,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1763]),c_0_1764]) ).

cnf(c_0_1799,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1741,c_0_34]) ).

cnf(c_0_1800,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1765]),c_0_1696]) ).

cnf(c_0_1801,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1766]) ).

cnf(c_0_1802,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1742,c_0_34]) ).

cnf(c_0_1803,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1767]),c_0_1768]) ).

cnf(c_0_1804,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1769]) ).

cnf(c_0_1805,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1770]) ).

cnf(c_0_1806,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1744,c_0_34]) ).

cnf(c_0_1807,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1771]),c_0_1772]) ).

cnf(c_0_1808,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_795,c_0_34]) ).

cnf(c_0_1809,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1773,c_0_31]),c_0_1643]) ).

cnf(c_0_1810,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1721,c_0_31]),c_0_1643]) ).

cnf(c_0_1811,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_1774,c_0_31]) ).

cnf(c_0_1812,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1775]) ).

cnf(c_0_1813,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1776]) ).

cnf(c_0_1814,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1777]) ).

cnf(c_0_1815,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1703,c_0_34]) ).

cnf(c_0_1816,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1778,c_0_34]) ).

cnf(c_0_1817,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1779,c_0_34]) ).

cnf(c_0_1818,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1779,c_0_31]) ).

cnf(c_0_1819,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1780,c_0_34]) ).

cnf(c_0_1820,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1781]) ).

cnf(c_0_1821,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1782]) ).

cnf(c_0_1822,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1783]) ).

cnf(c_0_1823,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1784]),c_0_1652]) ).

cnf(c_0_1824,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1674,c_0_34]) ).

cnf(c_0_1825,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1785]) ).

cnf(c_0_1826,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1786]) ).

cnf(c_0_1827,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1505,c_0_34]) ).

cnf(c_0_1828,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1542,c_0_34]) ).

cnf(c_0_1829,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1787]) ).

cnf(c_0_1830,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1736,c_0_34]) ).

cnf(c_0_1831,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1788]),c_0_1655]) ).

cnf(c_0_1832,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_521,c_0_34]) ).

cnf(c_0_1833,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1789]) ).

cnf(c_0_1834,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1790]) ).

cnf(c_0_1835,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1791]) ).

cnf(c_0_1836,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1792]) ).

cnf(c_0_1837,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1793]) ).

cnf(c_0_1838,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1794]) ).

cnf(c_0_1839,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1795]) ).

cnf(c_0_1840,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_581,c_0_34]) ).

cnf(c_0_1841,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1796,c_0_31]) ).

cnf(c_0_1842,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1797]),c_0_1798]) ).

cnf(c_0_1843,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1799]),c_0_1800]) ).

cnf(c_0_1844,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1801,c_0_31]) ).

cnf(c_0_1845,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1802]),c_0_1803]) ).

cnf(c_0_1846,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1804,c_0_31]) ).

cnf(c_0_1847,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1805,c_0_31]) ).

cnf(c_0_1848,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1806]),c_0_1807]) ).

cnf(c_0_1849,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1808]) ).

cnf(c_0_1850,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1773,c_0_34]),c_0_1643]) ).

cnf(c_0_1851,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1809]) ).

cnf(c_0_1852,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1810]) ).

cnf(c_0_1853,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1811]) ).

cnf(c_0_1854,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1812,c_0_34]) ).

cnf(c_0_1855,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1813,c_0_34]),c_0_1814]) ).

cnf(c_0_1856,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_34]) ).

cnf(c_0_1857,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1664,c_0_34]) ).

cnf(c_0_1858,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1815]) ).

cnf(c_0_1859,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1816]) ).

cnf(c_0_1860,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1817]),c_0_1818]) ).

cnf(c_0_1861,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1819]) ).

cnf(c_0_1862,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_1820]),c_0_1821]) ).

cnf(c_0_1863,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1204]) ).

cnf(c_0_1864,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1822,c_0_34]) ).

cnf(c_0_1865,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1822,c_0_31]) ).

cnf(c_0_1866,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1823]),c_0_1504]) ).

cnf(c_0_1867,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1824]) ).

cnf(c_0_1868,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1825,c_0_31]) ).

cnf(c_0_1869,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1758,c_0_31]),c_0_1826]) ).

cnf(c_0_1870,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1827]) ).

cnf(c_0_1871,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1828]) ).

cnf(c_0_1872,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1829,c_0_31]) ).

cnf(c_0_1873,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1830]),c_0_1831]) ).

cnf(c_0_1874,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1832]) ).

cnf(c_0_1875,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1833,c_0_34]) ).

cnf(c_0_1876,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1833,c_0_31]) ).

cnf(c_0_1877,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1834,c_0_34]) ).

cnf(c_0_1878,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1445,c_0_34]) ).

cnf(c_0_1879,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1835,c_0_31]) ).

cnf(c_0_1880,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1836,c_0_31]) ).

cnf(c_0_1881,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1837,c_0_31]) ).

cnf(c_0_1882,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1838,c_0_31]) ).

cnf(c_0_1883,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1839,c_0_31]) ).

cnf(c_0_1884,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_1840]) ).

cnf(c_0_1885,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1841]) ).

cnf(c_0_1886,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1842]),c_0_1764]) ).

cnf(c_0_1887,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1843]),c_0_1696]) ).

cnf(c_0_1888,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1844]) ).

cnf(c_0_1889,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1845]),c_0_1768]) ).

cnf(c_0_1890,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1846]) ).

cnf(c_0_1891,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1847]) ).

cnf(c_0_1892,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1848]),c_0_1772]) ).

cnf(c_0_1893,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_794,c_0_34]) ).

cnf(c_0_1894,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1849,c_0_31]) ).

cnf(c_0_1895,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1850]) ).

cnf(c_0_1896,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1851,c_0_34]) ).

cnf(c_0_1897,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1851,c_0_31]) ).

cnf(c_0_1898,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1774,c_0_34]) ).

cnf(c_0_1899,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1852,c_0_34]),c_0_1853]) ).

cnf(c_0_1900,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1854]) ).

cnf(c_0_1901,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1855]) ).

cnf(c_0_1902,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1856]) ).

cnf(c_0_1903,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1857]) ).

cnf(c_0_1904,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1858,c_0_31]) ).

cnf(c_0_1905,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1778,c_0_31]),c_0_1859]) ).

cnf(c_0_1906,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1860]) ).

cnf(c_0_1907,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1780,c_0_31]),c_0_1861]) ).

cnf(c_0_1908,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1862]) ).

cnf(c_0_1909,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1863]) ).

cnf(c_0_1910,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1864]),c_0_1865]) ).

cnf(c_0_1911,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1866]) ).

cnf(c_0_1912,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1867,c_0_31]) ).

cnf(c_0_1913,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1825,c_0_34]) ).

cnf(c_0_1914,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1868]),c_0_1869]) ).

cnf(c_0_1915,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1632,c_0_31]) ).

cnf(c_0_1916,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1550,c_0_31]) ).

cnf(c_0_1917,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_940,c_0_31]) ).

cnf(c_0_1918,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1870,c_0_31]) ).

cnf(c_0_1919,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1871,c_0_31]) ).

cnf(c_0_1920,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1872]) ).

cnf(c_0_1921,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1873]),c_0_1760]) ).

cnf(c_0_1922,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1344,c_0_34]) ).

cnf(c_0_1923,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1874,c_0_31]) ).

cnf(c_0_1924,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1875]),c_0_1876]) ).

cnf(c_0_1925,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1877]) ).

cnf(c_0_1926,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1878]) ).

cnf(c_0_1927,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1879]) ).

cnf(c_0_1928,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1880]) ).

cnf(c_0_1929,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1881]) ).

cnf(c_0_1930,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1882]) ).

cnf(c_0_1931,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1883]) ).

cnf(c_0_1932,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1884,c_0_31]) ).

cnf(c_0_1933,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_641,c_0_34]) ).

cnf(c_0_1934,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1885,c_0_31]) ).

cnf(c_0_1935,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1886]),c_0_1887]) ).

cnf(c_0_1936,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1888,c_0_31]) ).

cnf(c_0_1937,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1889]),c_0_655]) ).

cnf(c_0_1938,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1890,c_0_31]) ).

cnf(c_0_1939,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1891,c_0_31]) ).

cnf(c_0_1940,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1892]),c_0_1472]) ).

cnf(c_0_1941,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1893]) ).

cnf(c_0_1942,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1894]) ).

cnf(c_0_1943,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1749,c_0_34]) ).

cnf(c_0_1944,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_31]) ).

cnf(c_0_1945,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1896]),c_0_1897]) ).

cnf(c_0_1946,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1898]),c_0_1899]) ).

cnf(c_0_1947,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1900]),c_0_1901]) ).

cnf(c_0_1948,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1579,c_0_34]) ).

cnf(c_0_1949,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1902,c_0_31]) ).

cnf(c_0_1950,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1903,c_0_31]) ).

cnf(c_0_1951,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1858,c_0_34]) ).

cnf(c_0_1952,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1904]),c_0_1905]) ).

cnf(c_0_1953,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1906]),c_0_1907]) ).

cnf(c_0_1954,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1908,c_0_1909]) ).

cnf(c_0_1955,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1909]) ).

cnf(c_0_1956,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1910]) ).

cnf(c_0_1957,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1911]) ).

cnf(c_0_1958,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1912]) ).

cnf(c_0_1959,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1913]),c_0_1914]) ).

cnf(c_0_1960,plain,
    ( 'LE'(f(g(X1)),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_1915]) ).

cnf(c_0_1961,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1916]) ).

cnf(c_0_1962,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1917]) ).

cnf(c_0_1963,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1918]) ).

cnf(c_0_1964,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1919]) ).

cnf(c_0_1965,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1920,c_0_31]) ).

cnf(c_0_1966,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1921]),c_0_1655]) ).

cnf(c_0_1967,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1922]) ).

cnf(c_0_1968,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1923]) ).

cnf(c_0_1969,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1924]) ).

cnf(c_0_1970,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1834,c_0_31]),c_0_1925]) ).

cnf(c_0_1971,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1926,c_0_31]) ).

cnf(c_0_1972,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1927,c_0_31]) ).

cnf(c_0_1973,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1928,c_0_31]) ).

cnf(c_0_1974,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1929,c_0_31]) ).

cnf(c_0_1975,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1930,c_0_31]) ).

cnf(c_0_1976,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1931,c_0_31]) ).

cnf(c_0_1977,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1932]) ).

cnf(c_0_1978,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1933]) ).

cnf(c_0_1979,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1796,c_0_34]) ).

cnf(c_0_1980,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1885,c_0_34]) ).

cnf(c_0_1981,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1934]),c_0_1935]) ).

cnf(c_0_1982,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1801,c_0_34]) ).

cnf(c_0_1983,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1888,c_0_34]) ).

cnf(c_0_1984,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1936]),c_0_1937]) ).

cnf(c_0_1985,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1804,c_0_34]) ).

cnf(c_0_1986,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1890,c_0_34]) ).

cnf(c_0_1987,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1938]),c_0_1481]) ).

cnf(c_0_1988,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1805,c_0_34]) ).

cnf(c_0_1989,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1891,c_0_34]) ).

cnf(c_0_1990,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1939]),c_0_1940]) ).

cnf(c_0_1991,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_717,c_0_34]) ).

cnf(c_0_1992,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1941,c_0_31]) ).

cnf(c_0_1993,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1942,c_0_31]) ).

cnf(c_0_1994,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1943]),c_0_1855]) ).

cnf(c_0_1995,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_34]) ).

cnf(c_0_1996,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1944]),c_0_1945]) ).

cnf(c_0_1997,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1946]) ).

cnf(c_0_1998,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1812,c_0_31]),c_0_1947]) ).

cnf(c_0_1999,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_1852,c_0_31]) ).

cnf(c_0_2000,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_1899]) ).

cnf(c_0_2001,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1813,c_0_31]) ).

cnf(c_0_2002,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_1948]) ).

cnf(c_0_2003,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1949]) ).

cnf(c_0_2004,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1950]) ).

cnf(c_0_2005,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1951]),c_0_1952]) ).

cnf(c_0_2006,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1953]),c_0_1235]) ).

cnf(c_0_2007,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1954]) ).

cnf(c_0_2008,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1955]) ).

cnf(c_0_2009,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1956]) ).

cnf(c_0_2010,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1725]),c_0_1957]) ).

cnf(c_0_2011,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1958,c_0_31]) ).

cnf(c_0_2012,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_1959]),c_0_1869]) ).

cnf(c_0_2013,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1960]) ).

cnf(c_0_2014,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1961]) ).

cnf(c_0_2015,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1962]) ).

cnf(c_0_2016,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1963,c_0_31]) ).

cnf(c_0_2017,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1964,c_0_31]) ).

cnf(c_0_2018,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1920,c_0_34]) ).

cnf(c_0_2019,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1965]),c_0_1966]) ).

cnf(c_0_2020,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1967,c_0_31]) ).

cnf(c_0_2021,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1968,c_0_31]) ).

cnf(c_0_2022,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1969]),c_0_1970]) ).

cnf(c_0_2023,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1971]) ).

cnf(c_0_2024,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1972]) ).

cnf(c_0_2025,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1517,c_0_34]) ).

cnf(c_0_2026,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1836,c_0_34]) ).

cnf(c_0_2027,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1928,c_0_34]) ).

cnf(c_0_2028,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1973]),c_0_1655]) ).

cnf(c_0_2029,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1837,c_0_34]) ).

cnf(c_0_2030,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1929,c_0_34]) ).

cnf(c_0_2031,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1974]),c_0_1507]) ).

cnf(c_0_2032,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1838,c_0_34]) ).

cnf(c_0_2033,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1930,c_0_34]) ).

cnf(c_0_2034,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1975]),c_0_1231]) ).

cnf(c_0_2035,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1839,c_0_34]) ).

cnf(c_0_2036,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1931,c_0_34]) ).

cnf(c_0_2037,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1976]),c_0_914]) ).

cnf(c_0_2038,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1977,c_0_31]) ).

cnf(c_0_2039,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1978,c_0_31]) ).

cnf(c_0_2040,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1979]) ).

cnf(c_0_2041,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1980]),c_0_1981]) ).

cnf(c_0_2042,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1982]) ).

cnf(c_0_2043,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1983]),c_0_1984]) ).

cnf(c_0_2044,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1985]) ).

cnf(c_0_2045,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1986]),c_0_1987]) ).

cnf(c_0_2046,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1988]) ).

cnf(c_0_2047,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1989]),c_0_1990]) ).

cnf(c_0_2048,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_1991]) ).

cnf(c_0_2049,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_1992]) ).

cnf(c_0_2050,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1942,c_0_34]) ).

cnf(c_0_2051,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1993]),c_0_1150]) ).

cnf(c_0_2052,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1994]) ).

cnf(c_0_2053,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1995]),c_0_1996]) ).

cnf(c_0_2054,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1997]),c_0_1998]) ).

cnf(c_0_2055,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1999]),c_0_1998]) ).

cnf(c_0_2056,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2000]),c_0_1998]) ).

cnf(c_0_2057,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2001]),c_0_1910]) ).

cnf(c_0_2058,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2002,c_0_31]) ).

cnf(c_0_2059,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2003,c_0_31]) ).

cnf(c_0_2060,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2004,c_0_31]) ).

cnf(c_0_2061,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2005]),c_0_1905]) ).

cnf(c_0_2062,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2006]) ).

cnf(c_0_2063,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1905]) ).

cnf(c_0_2064,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2007,c_0_1601]),c_0_2008]) ).

cnf(c_0_2065,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2009]) ).

cnf(c_0_2066,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2010]) ).

cnf(c_0_2067,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1532]) ).

cnf(c_0_2068,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1666]) ).

cnf(c_0_2069,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1867,c_0_34]) ).

cnf(c_0_2070,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1958,c_0_34]) ).

cnf(c_0_2071,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2011]),c_0_2012]) ).

cnf(c_0_2072,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2013,c_0_34]) ).

cnf(c_0_2073,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2014,c_0_34]) ).

cnf(c_0_2074,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2015,c_0_34]) ).

cnf(c_0_2075,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2016]) ).

cnf(c_0_2076,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2017]) ).

cnf(c_0_2077,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2018]),c_0_2019]) ).

cnf(c_0_2078,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2020]) ).

cnf(c_0_2079,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2021]),c_0_2022]) ).

cnf(c_0_2080,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2023,c_0_31]) ).

cnf(c_0_2081,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2024,c_0_31]) ).

cnf(c_0_2082,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1190,c_0_34]) ).

cnf(c_0_2083,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_2025]) ).

cnf(c_0_2084,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2026]) ).

cnf(c_0_2085,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2027]),c_0_2028]) ).

cnf(c_0_2086,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2029]) ).

cnf(c_0_2087,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2030]),c_0_2031]) ).

cnf(c_0_2088,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2032]) ).

cnf(c_0_2089,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2033]),c_0_2034]) ).

cnf(c_0_2090,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2035]) ).

cnf(c_0_2091,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2036]),c_0_2037]) ).

cnf(c_0_2092,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2038]) ).

cnf(c_0_2093,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2039]) ).

cnf(c_0_2094,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2040,c_0_31]) ).

cnf(c_0_2095,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2041]),c_0_1935]) ).

cnf(c_0_2096,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2042,c_0_31]) ).

cnf(c_0_2097,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2043]),c_0_1937]) ).

cnf(c_0_2098,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2044,c_0_31]) ).

cnf(c_0_2099,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2045]),c_0_1481]) ).

cnf(c_0_2100,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2046,c_0_31]) ).

cnf(c_0_2101,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2047]),c_0_1940]) ).

cnf(c_0_2102,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_642,c_0_34]) ).

cnf(c_0_2103,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2048,c_0_31]) ).

cnf(c_0_2104,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2049,c_0_31]) ).

cnf(c_0_2105,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2050]),c_0_2051]) ).

cnf(c_0_2106,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2052]) ).

cnf(c_0_2107,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1901]) ).

cnf(c_0_2108,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2053]),c_0_1945]) ).

cnf(c_0_2109,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2054,c_0_2055]),c_0_2056]) ).

cnf(c_0_2110,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2057]) ).

cnf(c_0_2111,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2058]) ).

cnf(c_0_2112,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2059]) ).

cnf(c_0_2113,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2004,c_0_34]) ).

cnf(c_0_2114,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2060]),c_0_2061]) ).

cnf(c_0_2115,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1382,c_0_2062]) ).

cnf(c_0_2116,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2063]),c_0_2064]) ).

cnf(c_0_2117,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2065]) ).

cnf(c_0_2118,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2066]),c_0_2067]) ).

cnf(c_0_2119,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2068]),c_0_909]) ).

cnf(c_0_2120,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2069]) ).

cnf(c_0_2121,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2070]),c_0_2071]) ).

cnf(c_0_2122,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2072]) ).

cnf(c_0_2123,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2073]) ).

cnf(c_0_2124,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2074]) ).

cnf(c_0_2125,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2075,c_0_31]) ).

cnf(c_0_2126,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2076,c_0_31]) ).

cnf(c_0_2127,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2077]),c_0_1966]) ).

cnf(c_0_2128,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2078,c_0_31]) ).

cnf(c_0_2129,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2079,c_0_31]) ).

cnf(c_0_2130,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2080]) ).

cnf(c_0_2131,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1927,c_0_34]) ).

cnf(c_0_2132,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2024,c_0_34]) ).

cnf(c_0_2133,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2081]),c_0_317]) ).

cnf(c_0_2134,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2082]) ).

cnf(c_0_2135,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2083,c_0_31]) ).

cnf(c_0_2136,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1560,c_0_34]) ).

cnf(c_0_2137,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2084,c_0_31]) ).

cnf(c_0_2138,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2085]),c_0_1655]) ).

cnf(c_0_2139,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2086,c_0_31]) ).

cnf(c_0_2140,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2087]),c_0_1507]) ).

cnf(c_0_2141,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2088,c_0_31]) ).

cnf(c_0_2142,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2089]),c_0_1231]) ).

cnf(c_0_2143,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2090,c_0_31]) ).

cnf(c_0_2144,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2091]),c_0_914]) ).

cnf(c_0_2145,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2092,c_0_31]) ).

cnf(c_0_2146,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2093,c_0_31]) ).

cnf(c_0_2147,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2040,c_0_34]) ).

cnf(c_0_2148,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2094]),c_0_2095]) ).

cnf(c_0_2149,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2042,c_0_34]) ).

cnf(c_0_2150,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2096]),c_0_2097]) ).

cnf(c_0_2151,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2044,c_0_34]) ).

cnf(c_0_2152,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2098]),c_0_2099]) ).

cnf(c_0_2153,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2046,c_0_34]) ).

cnf(c_0_2154,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2100]),c_0_2101]) ).

cnf(c_0_2155,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2102]) ).

cnf(c_0_2156,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2103]) ).

cnf(c_0_2157,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2104]),c_0_1150]) ).

cnf(c_0_2158,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2105]),c_0_1150]) ).

cnf(c_0_2159,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2106,c_0_2057]),c_0_2107]) ).

cnf(c_0_2160,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2108]) ).

cnf(c_0_2161,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2109]) ).

cnf(c_0_2162,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2107,c_0_2110]),c_0_1956]) ).

cnf(c_0_2163,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2111,c_0_31]) ).

cnf(c_0_2164,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2112,c_0_34]) ).

cnf(c_0_2165,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2113]),c_0_2114]) ).

cnf(c_0_2166,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2115]) ).

cnf(c_0_2167,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2116]) ).

cnf(c_0_2168,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2117]),c_0_2118]),c_0_2119]),c_0_1601]) ).

cnf(c_0_2169,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2120,c_0_31]) ).

cnf(c_0_2170,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2121]),c_0_2012]) ).

cnf(c_0_2171,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_990]) ).

cnf(c_0_2172,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2122,c_0_31]) ).

cnf(c_0_2173,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1354]) ).

cnf(c_0_2174,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1639]) ).

cnf(c_0_2175,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2014,c_0_31]),c_0_2123]) ).

cnf(c_0_2176,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_1128]) ).

cnf(c_0_2177,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2015,c_0_31]),c_0_2124]) ).

cnf(c_0_2178,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2125]) ).

cnf(c_0_2179,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2076,c_0_34]) ).

cnf(c_0_2180,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2126]),c_0_2127]) ).

cnf(c_0_2181,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2128]) ).

cnf(c_0_2182,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2129]) ).

cnf(c_0_2183,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1030,c_0_34]) ).

cnf(c_0_2184,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1125,c_0_34]) ).

cnf(c_0_2185,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_713,c_0_34]) ).

cnf(c_0_2186,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_791,c_0_34]) ).

cnf(c_0_2187,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2130,c_0_31]) ).

cnf(c_0_2188,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2131]) ).

cnf(c_0_2189,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2132]),c_0_2133]) ).

cnf(c_0_2190,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2134,c_0_31]) ).

cnf(c_0_2191,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2135]) ).

cnf(c_0_2192,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2136]) ).

cnf(c_0_2193,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2084,c_0_34]) ).

cnf(c_0_2194,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2137]),c_0_2138]) ).

cnf(c_0_2195,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2086,c_0_34]) ).

cnf(c_0_2196,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2139]),c_0_2140]) ).

cnf(c_0_2197,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2088,c_0_34]) ).

cnf(c_0_2198,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2141]),c_0_2142]) ).

cnf(c_0_2199,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2090,c_0_34]) ).

cnf(c_0_2200,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2143]),c_0_2144]) ).

cnf(c_0_2201,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2145]) ).

cnf(c_0_2202,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2146]) ).

cnf(c_0_2203,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2147]),c_0_2148]) ).

cnf(c_0_2204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2149]),c_0_2150]) ).

cnf(c_0_2205,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2151]),c_0_2152]) ).

cnf(c_0_2206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_914]) ).

cnf(c_0_2207,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2153]),c_0_2154]) ).

cnf(c_0_2208,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2155,c_0_31]) ).

cnf(c_0_2209,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2156,c_0_31]) ).

cnf(c_0_2210,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2049,c_0_34]) ).

cnf(c_0_2211,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2157]),c_0_2158]) ).

cnf(c_0_2212,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1998]) ).

cnf(c_0_2213,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2159]),c_0_2160]) ).

cnf(c_0_2214,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2161]) ).

cnf(c_0_2215,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2162]) ).

cnf(c_0_2216,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2163]) ).

cnf(c_0_2217,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2164]) ).

cnf(c_0_2218,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2165]),c_0_2061]) ).

cnf(c_0_2219,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2166,c_0_2167]),c_0_2168]),c_0_2064]) ).

cnf(c_0_2220,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2120,c_0_34]) ).

cnf(c_0_2221,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2169]),c_0_2170]) ).

cnf(c_0_2222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1578]) ).

cnf(c_0_2223,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_1601]) ).

cnf(c_0_2224,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2171]) ).

cnf(c_0_2225,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2122,c_0_34]) ).

cnf(c_0_2226,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2172]) ).

cnf(c_0_2227,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2173]) ).

cnf(c_0_2228,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2174]),c_0_2175]) ).

cnf(c_0_2229,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2176]),c_0_2177]) ).

cnf(c_0_2230,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2178,c_0_34]) ).

cnf(c_0_2231,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2179]),c_0_2180]) ).

cnf(c_0_2232,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2181,c_0_34]) ).

cnf(c_0_2233,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2079,c_0_34]) ).

cnf(c_0_2234,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2182,c_0_34]) ).

cnf(c_0_2235,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2183]) ).

cnf(c_0_2236,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2184]) ).

cnf(c_0_2237,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2185]) ).

cnf(c_0_2238,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2186]) ).

cnf(c_0_2239,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2187]) ).

cnf(c_0_2240,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1835,c_0_34]) ).

cnf(c_0_2241,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2188,c_0_31]) ).

cnf(c_0_2242,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2189]),c_0_317]) ).

cnf(c_0_2243,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1095,c_0_34]) ).

cnf(c_0_2244,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2190]),c_0_1357]) ).

cnf(c_0_2245,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2191,c_0_31]) ).

cnf(c_0_2246,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2192,c_0_31]) ).

cnf(c_0_2247,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2193]),c_0_2194]) ).

cnf(c_0_2248,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2195]),c_0_2196]) ).

cnf(c_0_2249,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2197]),c_0_2198]) ).

cnf(c_0_2250,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2199]),c_0_2200]) ).

cnf(c_0_2251,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2201,c_0_31]) ).

cnf(c_0_2252,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2202,c_0_31]) ).

cnf(c_0_2253,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2160]) ).

cnf(c_0_2254,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2203]),c_0_2095]) ).

cnf(c_0_2255,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2204]),c_0_2097]) ).

cnf(c_0_2256,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1507]) ).

cnf(c_0_2257,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2205]),c_0_2099]) ).

cnf(c_0_2258,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2206]) ).

cnf(c_0_2259,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2207]),c_0_2101]) ).

cnf(c_0_2260,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2208]) ).

cnf(c_0_2261,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2209]) ).

cnf(c_0_2262,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2210]),c_0_2211]) ).

cnf(c_0_2263,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2212]),c_0_2213]) ).

cnf(c_0_2264,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2214,c_0_2215]) ).

cnf(c_0_2265,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2216,c_0_31]) ).

cnf(c_0_2266,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2217]),c_0_2218]) ).

cnf(c_0_2267,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2219]) ).

cnf(c_0_2268,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2220]),c_0_2221]) ).

cnf(c_0_2269,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2222]) ).

cnf(c_0_2270,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2223]) ).

cnf(c_0_2271,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_2224]),c_0_965]) ).

cnf(c_0_2272,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2225]) ).

cnf(c_0_2273,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2226,c_0_34]) ).

cnf(c_0_2274,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2226,c_0_31]) ).

cnf(c_0_2275,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_2227]),c_0_965]) ).

cnf(c_0_2276,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2013,c_0_31]) ).

cnf(c_0_2277,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2228]) ).

cnf(c_0_2278,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2229]) ).

cnf(c_0_2279,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2230]) ).

cnf(c_0_2280,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2231]),c_0_2127]) ).

cnf(c_0_2281,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2232]) ).

cnf(c_0_2282,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2233]) ).

cnf(c_0_2283,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2234]) ).

cnf(c_0_2284,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2235,c_0_31]) ).

cnf(c_0_2285,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2236,c_0_31]) ).

cnf(c_0_2286,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2237,c_0_31]) ).

cnf(c_0_2287,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2238,c_0_31]) ).

cnf(c_0_2288,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2239,c_0_34]) ).

cnf(c_0_2289,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2240]) ).

cnf(c_0_2290,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2188,c_0_34]) ).

cnf(c_0_2291,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2241]),c_0_2242]) ).

cnf(c_0_2292,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_912,c_0_34]) ).

cnf(c_0_2293,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1004,c_0_34]) ).

cnf(c_0_2294,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2243]) ).

cnf(c_0_2295,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2134,c_0_34]) ).

cnf(c_0_2296,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2244]),c_0_1231]) ).

cnf(c_0_2297,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2245]) ).

cnf(c_0_2298,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2246]) ).

cnf(c_0_2299,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2247]),c_0_2138]) ).

cnf(c_0_2300,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2248]),c_0_2140]) ).

cnf(c_0_2301,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2249]),c_0_2142]) ).

cnf(c_0_2302,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2250]),c_0_2144]) ).

cnf(c_0_2303,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2251]),c_0_2252]) ).

cnf(c_0_2304,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2253,c_0_1666]),c_0_1957]) ).

cnf(c_0_2305,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2254]),c_0_1935]) ).

cnf(c_0_2306,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2255]),c_0_1937]) ).

cnf(c_0_2307,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2256]) ).

cnf(c_0_2308,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2257]),c_0_1481]) ).

cnf(c_0_2309,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1467]),c_0_2258]) ).

cnf(c_0_2310,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2259]),c_0_1940]) ).

cnf(c_0_2311,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2260,c_0_31]) ).

cnf(c_0_2312,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2261,c_0_34]) ).

cnf(c_0_2313,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2262]),c_0_1150]) ).

cnf(c_0_2314,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2263]) ).

cnf(c_0_2315,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2214,c_0_1725]),c_0_1666]),c_0_1643]) ).

cnf(c_0_2316,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2264]),c_0_1578]) ).

cnf(c_0_2317,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2265]) ).

cnf(c_0_2318,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2112,c_0_31]),c_0_2266]) ).

cnf(c_0_2319,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2267]) ).

cnf(c_0_2320,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2268]),c_0_2170]) ).

cnf(c_0_2321,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2269,c_0_1016]),c_0_2270]) ).

cnf(c_0_2322,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2269,c_0_2271]) ).

cnf(c_0_2323,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2272,c_0_31]) ).

cnf(c_0_2324,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2273]),c_0_2274]) ).

cnf(c_0_2325,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2275]) ).

cnf(c_0_2326,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2276]) ).

cnf(c_0_2327,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_2277]),c_0_2278]) ).

cnf(c_0_2328,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2279]),c_0_2280]) ).

cnf(c_0_2329,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2281]),c_0_2138]) ).

cnf(c_0_2330,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2282,c_0_31]) ).

cnf(c_0_2331,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2182,c_0_31]),c_0_2283]) ).

cnf(c_0_2332,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1279]) ).

cnf(c_0_2333,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2284]) ).

cnf(c_0_2334,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2285]) ).

cnf(c_0_2335,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2286]) ).

cnf(c_0_2336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2287]) ).

cnf(c_0_2337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2288]) ).

cnf(c_0_2338,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2289,c_0_31]) ).

cnf(c_0_2339,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2290]),c_0_2291]) ).

cnf(c_0_2340,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1648,c_0_34]) ).

cnf(c_0_2341,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2292]) ).

cnf(c_0_2342,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2293]) ).

cnf(c_0_2343,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2294,c_0_31]) ).

cnf(c_0_2344,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2295]),c_0_2296]) ).

cnf(c_0_2345,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2297,c_0_31]) ).

cnf(c_0_2346,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2298,c_0_31]) ).

cnf(c_0_2347,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2299]),c_0_1655]) ).

cnf(c_0_2348,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2300]),c_0_1507]) ).

cnf(c_0_2349,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2301]),c_0_1231]) ).

cnf(c_0_2350,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2302]),c_0_914]) ).

cnf(c_0_2351,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2303]) ).

cnf(c_0_2352,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2304]),c_0_2067]) ).

cnf(c_0_2353,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2305]),c_0_2275]) ).

cnf(c_0_2354,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2306]),c_0_655]) ).

cnf(c_0_2355,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1887]),c_0_2307]) ).

cnf(c_0_2356,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2308]) ).

cnf(c_0_2357,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2309]),c_0_2229]) ).

cnf(c_0_2358,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2310]),c_0_1472]) ).

cnf(c_0_2359,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2311]) ).

cnf(c_0_2360,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2312]) ).

cnf(c_0_2361,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2313]),c_0_2158]) ).

cnf(c_0_2362,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2314,c_0_2315]),c_0_2316]) ).

cnf(c_0_2363,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2317,c_0_31]) ).

cnf(c_0_2364,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2318]),c_0_2218]) ).

cnf(c_0_2365,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2319,c_0_2271]) ).

cnf(c_0_2366,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_616]) ).

cnf(c_0_2367,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2320]),c_0_2012]) ).

cnf(c_0_2368,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2269,c_0_1015]),c_0_2321]),c_0_2322]),c_0_2270]) ).

cnf(c_0_2369,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2272,c_0_34]) ).

cnf(c_0_2370,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2323]),c_0_2324]) ).

cnf(c_0_2371,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2325]) ).

cnf(c_0_2372,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2271]) ).

cnf(c_0_2373,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(X2)))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2326]) ).

cnf(c_0_2374,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2327]) ).

cnf(c_0_2375,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2178,c_0_31]),c_0_2328]) ).

cnf(c_0_2376,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2181,c_0_31]),c_0_2329]) ).

cnf(c_0_2377,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2282,c_0_34]) ).

cnf(c_0_2378,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2330]),c_0_2331]) ).

cnf(c_0_2379,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2332]) ).

cnf(c_0_2380,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2333,c_0_31]) ).

cnf(c_0_2381,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2334,c_0_31]) ).

cnf(c_0_2382,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2335,c_0_31]) ).

cnf(c_0_2383,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2336,c_0_31]) ).

cnf(c_0_2384,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2130,c_0_34]) ).

cnf(c_0_2385,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2337]),c_0_1764]) ).

cnf(c_0_2386,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2338]) ).

cnf(c_0_2387,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2339]),c_0_2242]) ).

cnf(c_0_2388,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1647,c_0_34]) ).

cnf(c_0_2389,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2340]) ).

cnf(c_0_2390,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2341,c_0_31]) ).

cnf(c_0_2391,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2342,c_0_31]) ).

cnf(c_0_2392,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2343]) ).

cnf(c_0_2393,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2344]),c_0_1357]) ).

cnf(c_0_2394,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2345]) ).

cnf(c_0_2395,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2346]) ).

cnf(c_0_2396,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2347]),c_0_2348]) ).

cnf(c_0_2397,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2349]),c_0_2350]) ).

cnf(c_0_2398,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2351,c_0_34]) ).

cnf(c_0_2399,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2348]),c_0_1332]) ).

cnf(c_0_2400,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2352]),c_0_1003]) ).

cnf(c_0_2401,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2353]),c_0_2354]) ).

cnf(c_0_2402,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2355]),c_0_2228]) ).

cnf(c_0_2403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2356]),c_0_2357]),c_0_2358]) ).

cnf(c_0_2404,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2359,c_0_31]) ).

cnf(c_0_2405,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2360]),c_0_2361]) ).

cnf(c_0_2406,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2362]),c_0_1578]) ).

cnf(c_0_2407,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2317,c_0_34]) ).

cnf(c_0_2408,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2363]),c_0_2364]) ).

cnf(c_0_2409,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2365]) ).

cnf(c_0_2410,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_2366]),c_0_2367]) ).

cnf(c_0_2411,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2368]) ).

cnf(c_0_2412,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2369]),c_0_2370]) ).

cnf(c_0_2413,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2371,c_0_1107]) ).

cnf(c_0_2414,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2372]) ).

cnf(c_0_2415,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2373,c_0_34]) ).

cnf(c_0_2416,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2374]) ).

cnf(c_0_2417,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2375]),c_0_2280]) ).

cnf(c_0_2418,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2376]),c_0_2138]) ).

cnf(c_0_2419,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2377]),c_0_2378]) ).

cnf(c_0_2420,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2379]) ).

cnf(c_0_2421,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2380]) ).

cnf(c_0_2422,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2334,c_0_34]) ).

cnf(c_0_2423,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2381]),c_0_1495]) ).

cnf(c_0_2424,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2382]) ).

cnf(c_0_2425,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2336,c_0_34]) ).

cnf(c_0_2426,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2383]),c_0_1330]) ).

cnf(c_0_2427,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2384]) ).

cnf(c_0_2428,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2239,c_0_31]),c_0_2385]) ).

cnf(c_0_2429,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2386,c_0_31]) ).

cnf(c_0_2430,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2387]),c_0_433]) ).

cnf(c_0_2431,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2388]) ).

cnf(c_0_2432,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2389,c_0_31]) ).

cnf(c_0_2433,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2390]) ).

cnf(c_0_2434,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2391]) ).

cnf(c_0_2435,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2392,c_0_31]) ).

cnf(c_0_2436,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2393]),c_0_1231]) ).

cnf(c_0_2437,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_604,c_0_34]) ).

cnf(c_0_2438,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2394,c_0_31]) ).

cnf(c_0_2439,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2395,c_0_31]) ).

cnf(c_0_2440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2396]),c_0_1332]) ).

cnf(c_0_2441,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2397]),c_0_1332]) ).

cnf(c_0_2442,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2398]) ).

cnf(c_0_2443,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2399]) ).

cnf(c_0_2444,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2400]) ).

cnf(c_0_2445,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2401]) ).

cnf(c_0_2446,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2402]) ).

cnf(c_0_2447,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2357]) ).

cnf(c_0_2448,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2354]) ).

cnf(c_0_2449,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2403]) ).

cnf(c_0_2450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2350]),c_0_1332]) ).

cnf(c_0_2451,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2404]) ).

cnf(c_0_2452,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2261,c_0_31]),c_0_2405]) ).

cnf(c_0_2453,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2406]) ).

cnf(c_0_2454,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2407]),c_0_2408]) ).

cnf(c_0_2455,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2409,c_0_2410]),c_0_2411]) ).

cnf(c_0_2456,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2012]) ).

cnf(c_0_2457,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2412]),c_0_2324]) ).

cnf(c_0_2458,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_1106]),c_0_2413]),c_0_2414]) ).

cnf(c_0_2459,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2415]) ).

cnf(c_0_2460,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2410]) ).

cnf(c_0_2461,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2416]) ).

cnf(c_0_2462,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2417]) ).

cnf(c_0_2463,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2280]) ).

cnf(c_0_2464,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2418]) ).

cnf(c_0_2465,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2419]),c_0_2331]) ).

cnf(c_0_2466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1499]) ).

cnf(c_0_2467,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2420]) ).

cnf(c_0_2468,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2421,c_0_34]) ).

cnf(c_0_2469,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2422]),c_0_2423]) ).

cnf(c_0_2470,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2236,c_0_34]) ).

cnf(c_0_2471,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2424,c_0_34]) ).

cnf(c_0_2472,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2425]),c_0_2426]) ).

cnf(c_0_2473,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2238,c_0_34]) ).

cnf(c_0_2474,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1926,c_0_34]) ).

cnf(c_0_2475,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2023,c_0_34]) ).

cnf(c_0_2476,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2427,c_0_31]) ).

cnf(c_0_2477,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2428]),c_0_1764]) ).

cnf(c_0_2478,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2289,c_0_34]) ).

cnf(c_0_2479,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2386,c_0_34]) ).

cnf(c_0_2480,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2429]),c_0_2430]) ).

cnf(c_0_2481,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2431,c_0_31]) ).

cnf(c_0_2482,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2432]) ).

cnf(c_0_2483,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2433,c_0_31]) ).

cnf(c_0_2484,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2434,c_0_31]) ).

cnf(c_0_2485,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2392,c_0_34]) ).

cnf(c_0_2486,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2435]),c_0_2436]) ).

cnf(c_0_2487,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2437]) ).

cnf(c_0_2488,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2438]),c_0_2439]) ).

cnf(c_0_2489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2440]) ).

cnf(c_0_2490,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2441]) ).

cnf(c_0_2491,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2351,c_0_31]),c_0_2442]) ).

cnf(c_0_2492,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2443]),c_0_1781]),c_0_2444]) ).

cnf(c_0_2493,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2445]) ).

cnf(c_0_2494,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_2446]),c_0_2447]) ).

cnf(c_0_2495,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2448]) ).

cnf(c_0_2496,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_2449]),c_0_1498]) ).

cnf(c_0_2497,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2450]) ).

cnf(c_0_2498,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2451,c_0_31]) ).

cnf(c_0_2499,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2452]),c_0_2361]) ).

cnf(c_0_2500,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2453]) ).

cnf(c_0_2501,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2454]),c_0_2364]) ).

cnf(c_0_2502,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2455]) ).

cnf(c_0_2503,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_2456]),c_0_2457]) ).

cnf(c_0_2504,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2458]) ).

cnf(c_0_2505,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2411]) ).

cnf(c_0_2506,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2459,c_0_34]) ).

cnf(c_0_2507,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2459,c_0_31]) ).

cnf(c_0_2508,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2460]) ).

cnf(c_0_2509,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2062]) ).

cnf(c_0_2510,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2461]) ).

cnf(c_0_2511,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2462]) ).

cnf(c_0_2512,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2463]) ).

cnf(c_0_2513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2464]) ).

cnf(c_0_2514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2022]) ).

cnf(c_0_2515,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2465]) ).

cnf(c_0_2516,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2466]) ).

cnf(c_0_2517,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_496]) ).

cnf(c_0_2518,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2467]) ).

cnf(c_0_2519,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2468]) ).

cnf(c_0_2520,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2469]),c_0_1495]) ).

cnf(c_0_2521,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2470]) ).

cnf(c_0_2522,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2471]) ).

cnf(c_0_2523,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2472]),c_0_1330]) ).

cnf(c_0_2524,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2473]) ).

cnf(c_0_2525,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2474]) ).

cnf(c_0_2526,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2475]) ).

cnf(c_0_2527,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2427,c_0_34]) ).

cnf(c_0_2528,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2476]),c_0_2477]) ).

cnf(c_0_2529,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2478]) ).

cnf(c_0_2530,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2479]),c_0_2480]) ).

cnf(c_0_2531,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2481]) ).

cnf(c_0_2532,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2482,c_0_31]) ).

cnf(c_0_2533,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2483]) ).

cnf(c_0_2534,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2484]) ).

cnf(c_0_2535,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2485]),c_0_2486]) ).

cnf(c_0_2536,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2487,c_0_31]) ).

cnf(c_0_2537,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2488]) ).

cnf(c_0_2538,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2489]) ).

cnf(c_0_2539,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2490]) ).

cnf(c_0_2540,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2491]) ).

cnf(c_0_2541,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2492]) ).

cnf(c_0_2542,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2493,c_0_2494]),c_0_2495]),c_0_2496]) ).

cnf(c_0_2543,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2497]),c_0_1782]) ).

cnf(c_0_2544,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2451,c_0_34]) ).

cnf(c_0_2545,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2498]),c_0_2499]) ).

cnf(c_0_2546,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2500,c_0_2444]),c_0_2368]) ).

cnf(c_0_2547,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2501]) ).

cnf(c_0_2548,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2502,c_0_2503]),c_0_2504]),c_0_2505]) ).

cnf(c_0_2549,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2324]) ).

cnf(c_0_2550,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2506]),c_0_2507]) ).

cnf(c_0_2551,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2505]) ).

cnf(c_0_2552,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2508]) ).

cnf(c_0_2553,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2364]) ).

cnf(c_0_2554,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2509]),c_0_2510]) ).

cnf(c_0_2555,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2511]) ).

cnf(c_0_2556,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2512]),c_0_2513]) ).

cnf(c_0_2557,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2514]) ).

cnf(c_0_2558,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2515]) ).

cnf(c_0_2559,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1957]),c_0_2516]) ).

cnf(c_0_2560,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2517]) ).

cnf(c_0_2561,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_1237]) ).

cnf(c_0_2562,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2510,c_0_2518]) ).

cnf(c_0_2563,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2333,c_0_34]) ).

cnf(c_0_2564,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2519]),c_0_2520]) ).

cnf(c_0_2565,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2521,c_0_31]) ).

cnf(c_0_2566,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2335,c_0_34]) ).

cnf(c_0_2567,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2522]),c_0_2523]) ).

cnf(c_0_2568,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2524,c_0_31]) ).

cnf(c_0_2569,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2525,c_0_31]) ).

cnf(c_0_2570,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2526,c_0_31]) ).

cnf(c_0_2571,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2527]),c_0_2528]) ).

cnf(c_0_2572,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_2529,c_0_31]) ).

cnf(c_0_2573,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2530]),c_0_2430]) ).

cnf(c_0_2574,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2531,c_0_34]) ).

cnf(c_0_2575,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2531,c_0_31]) ).

cnf(c_0_2576,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2482,c_0_34]) ).

cnf(c_0_2577,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2532]),c_0_1860]) ).

cnf(c_0_2578,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2533,c_0_31]) ).

cnf(c_0_2579,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2534,c_0_31]) ).

cnf(c_0_2580,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2535]),c_0_2436]) ).

cnf(c_0_2581,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2536]) ).

cnf(c_0_2582,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2537,c_0_34]) ).

cnf(c_0_2583,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_2538]),c_0_2539]) ).

cnf(c_0_2584,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2540]) ).

cnf(c_0_2585,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2541]) ).

cnf(c_0_2586,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2542]) ).

cnf(c_0_2587,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2543]),c_0_2496]) ).

cnf(c_0_2588,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2544]),c_0_2545]) ).

cnf(c_0_2589,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2546]) ).

cnf(c_0_2590,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2547]) ).

cnf(c_0_2591,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2548]) ).

cnf(c_0_2592,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2549]),c_0_2550]) ).

cnf(c_0_2593,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2551,c_0_2552]) ).

cnf(c_0_2594,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2504]) ).

cnf(c_0_2595,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2553]) ).

cnf(c_0_2596,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_2555]),c_0_2556]),c_0_142]) ).

cnf(c_0_2597,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2557]) ).

cnf(c_0_2598,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2558]) ).

cnf(c_0_2599,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2554,c_0_2559]) ).

cnf(c_0_2600,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1300]) ).

cnf(c_0_2601,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2560]),c_0_1224]) ).

cnf(c_0_2602,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2561,c_0_2562]) ).

cnf(c_0_2603,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2563]) ).

cnf(c_0_2604,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2421,c_0_31]),c_0_2564]) ).

cnf(c_0_2605,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2521,c_0_34]) ).

cnf(c_0_2606,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2565]),c_0_2520]) ).

cnf(c_0_2607,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2566]) ).

cnf(c_0_2608,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2424,c_0_31]),c_0_2567]) ).

cnf(c_0_2609,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2524,c_0_34]) ).

cnf(c_0_2610,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2568]),c_0_2523]) ).

cnf(c_0_2611,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2569]) ).

cnf(c_0_2612,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2570]) ).

cnf(c_0_2613,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2571]),c_0_2477]) ).

cnf(c_0_2614,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2529,c_0_34]) ).

cnf(c_0_2615,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2572]),c_0_2573]) ).

cnf(c_0_2616,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2389,c_0_34]) ).

cnf(c_0_2617,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2574]),c_0_2575]) ).

cnf(c_0_2618,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2576]),c_0_2577]) ).

cnf(c_0_2619,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1903,c_0_34]) ).

cnf(c_0_2620,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2578]) ).

cnf(c_0_2621,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2534,c_0_34]) ).

cnf(c_0_2622,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2579]),c_0_2580]) ).

cnf(c_0_2623,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2294,c_0_34]) ).

cnf(c_0_2624,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2581,c_0_31]) ).

cnf(c_0_2625,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2582]) ).

cnf(c_0_2626,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2583,c_0_1862]) ).

cnf(c_0_2627,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2584]) ).

cnf(c_0_2628,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_2586]),c_0_2587]) ).

cnf(c_0_2629,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2588]),c_0_2499]) ).

cnf(c_0_2630,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2589]) ).

cnf(c_0_2631,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2590]) ).

cnf(c_0_2632,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2591,c_0_2592]),c_0_2593]),c_0_2594]),c_0_2551]) ).

cnf(c_0_2633,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2595]),c_0_2263]) ).

cnf(c_0_2634,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_2596]),c_0_71]) ).

cnf(c_0_2635,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2597]) ).

cnf(c_0_2636,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2598]) ).

cnf(c_0_2637,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2599]) ).

cnf(c_0_2638,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2600,c_0_2601]),c_0_2602]) ).

cnf(c_0_2639,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2235,c_0_34]) ).

cnf(c_0_2640,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2603,c_0_31]) ).

cnf(c_0_2641,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2604]),c_0_2520]) ).

cnf(c_0_2642,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2605]),c_0_2606]) ).

cnf(c_0_2643,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2237,c_0_34]) ).

cnf(c_0_2644,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2607,c_0_31]) ).

cnf(c_0_2645,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2608]),c_0_2523]) ).

cnf(c_0_2646,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2609]),c_0_2610]) ).

cnf(c_0_2647,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2611,c_0_31]) ).

cnf(c_0_2648,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2612,c_0_31]) ).

cnf(c_0_2649,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2613]),c_0_1935]) ).

cnf(c_0_2650,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2614]),c_0_2615]) ).

cnf(c_0_2651,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2616]) ).

cnf(c_0_2652,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2617]),c_0_1860]) ).

cnf(c_0_2653,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2618]),c_0_1860]) ).

cnf(c_0_2654,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2619]) ).

cnf(c_0_2655,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2620,c_0_34]) ).

cnf(c_0_2656,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2621]),c_0_2622]) ).

cnf(c_0_2657,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2623]) ).

cnf(c_0_2658,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2624]) ).

cnf(c_0_2659,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2215]) ).

cnf(c_0_2660,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2537,c_0_31]),c_0_2625]) ).

cnf(c_0_2661,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2626,c_0_2627]),c_0_2628]) ).

cnf(c_0_2662,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2166,c_0_2627]),c_0_2554]) ).

cnf(c_0_2663,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2629]) ).

cnf(c_0_2664,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2630,c_0_2631]),c_0_2632]),c_0_142]),c_0_91]),c_0_71]) ).

cnf(c_0_2665,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_2631]),c_0_2633]),c_0_142]),c_0_2634]) ).

cnf(c_0_2666,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2635,c_0_2631]),c_0_2633]),c_0_142]),c_0_2634]) ).

cnf(c_0_2667,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2636]),c_0_2637]),c_0_2638]) ).

cnf(c_0_2668,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_165,c_0_31]) ).

cnf(c_0_2669,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_757,c_0_34]) ).

cnf(c_0_2670,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1045]) ).

cnf(c_0_2671,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2639]) ).

cnf(c_0_2672,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2603,c_0_34]) ).

cnf(c_0_2673,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2640]),c_0_2641]) ).

cnf(c_0_2674,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2642]),c_0_2520]) ).

cnf(c_0_2675,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2643]) ).

cnf(c_0_2676,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2607,c_0_34]) ).

cnf(c_0_2677,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2644]),c_0_2645]) ).

cnf(c_0_2678,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2646]),c_0_2523]) ).

cnf(c_0_2679,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2647]) ).

cnf(c_0_2680,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2612,c_0_34]) ).

cnf(c_0_2681,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2648]),c_0_2649]) ).

cnf(c_0_2682,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2650]),c_0_2573]) ).

cnf(c_0_2683,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_431,c_0_34]) ).

cnf(c_0_2684,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1829,c_0_34]) ).

cnf(c_0_2685,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2651,c_0_31]) ).

cnf(c_0_2686,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2652]),c_0_2653]) ).

cnf(c_0_2687,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2654,c_0_31]) ).

cnf(c_0_2688,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2655]) ).

cnf(c_0_2689,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2656]),c_0_2580]) ).

cnf(c_0_2690,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2434,c_0_34]) ).

cnf(c_0_2691,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2657,c_0_31]) ).

cnf(c_0_2692,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2658,c_0_31]) ).

cnf(c_0_2693,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2213]) ).

cnf(c_0_2694,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2659]),c_0_2352]),c_0_1601]) ).

cnf(c_0_2695,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2660]) ).

cnf(c_0_2696,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2661]) ).

cnf(c_0_2697,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2662]) ).

cnf(c_0_2698,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2663]) ).

cnf(c_0_2699,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2664,c_0_2665]),c_0_2666]) ).

cnf(c_0_2700,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2627]),c_0_2667]) ).

cnf(c_0_2701,plain,
    ( 'LE'(f(g(X1)),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2668]) ).

cnf(c_0_2702,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X2)))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2669]) ).

cnf(c_0_2703,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2670]),c_0_1187]) ).

cnf(c_0_2704,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2671,c_0_31]) ).

cnf(c_0_2705,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2672]),c_0_2673]) ).

cnf(c_0_2706,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2674]),c_0_1495]) ).

cnf(c_0_2707,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2675,c_0_31]) ).

cnf(c_0_2708,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2676]),c_0_2677]) ).

cnf(c_0_2709,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2678]),c_0_1330]) ).

cnf(c_0_2710,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2679,c_0_34]) ).

cnf(c_0_2711,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2680]),c_0_2681]) ).

cnf(c_0_2712,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2682]),c_0_2430]) ).

cnf(c_0_2713,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2683]) ).

cnf(c_0_2714,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2684]) ).

cnf(c_0_2715,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2651,c_0_34]) ).

cnf(c_0_2716,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2685]),c_0_2686]) ).

cnf(c_0_2717,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2654,c_0_34]) ).

cnf(c_0_2718,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2687]),c_0_2218]) ).

cnf(c_0_2719,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2533,c_0_34]) ).

cnf(c_0_2720,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2688]),c_0_2689]) ).

cnf(c_0_2721,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2690]) ).

cnf(c_0_2722,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2657,c_0_34]) ).

cnf(c_0_2723,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2691]),c_0_2580]) ).

cnf(c_0_2724,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2581,c_0_34]) ).

cnf(c_0_2725,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2658,c_0_34]) ).

cnf(c_0_2726,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2692]),c_0_2142]) ).

cnf(c_0_2727,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2061]) ).

cnf(c_0_2728,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2587]) ).

cnf(c_0_2729,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2693,c_0_2116]),c_0_2694]) ).

cnf(c_0_2730,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2695]) ).

cnf(c_0_2731,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_2696]),c_0_2697]) ).

cnf(c_0_2732,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2698]),c_0_2699]) ).

cnf(c_0_2733,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2700]) ).

cnf(c_0_2734,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(X2)))
    | 'E'(s(s(s(s('0')))),f(g(X2)))
    | 'E'(s(s(s('0'))),f(g(X2)))
    | 'E'(s(s('0')),f(g(X2)))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(X2),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X2))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2701]) ).

cnf(c_0_2735,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2702,c_0_31]),c_0_2703]) ).

cnf(c_0_2736,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2704]) ).

cnf(c_0_2737,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2705]),c_0_2641]) ).

cnf(c_0_2738,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2706]),c_0_2403]) ).

cnf(c_0_2739,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2707]) ).

cnf(c_0_2740,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2708]),c_0_2645]) ).

cnf(c_0_2741,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2709]),c_0_1471]) ).

cnf(c_0_2742,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_2710]) ).

cnf(c_0_2743,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2711]),c_0_2649]) ).

cnf(c_0_2744,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2712]),c_0_433]) ).

cnf(c_0_2745,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2713,c_0_31]) ).

cnf(c_0_2746,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1964,c_0_34]) ).

cnf(c_0_2747,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2714,c_0_31]) ).

cnf(c_0_2748,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2715]),c_0_2716]) ).

cnf(c_0_2749,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2717]),c_0_2718]) ).

cnf(c_0_2750,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2719]) ).

cnf(c_0_2751,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2620,c_0_31]),c_0_2720]) ).

cnf(c_0_2752,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2721,c_0_31]) ).

cnf(c_0_2753,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2722]),c_0_2723]) ).

cnf(c_0_2754,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2724]) ).

cnf(c_0_2755,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2725]),c_0_2726]) ).

cnf(c_0_2756,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2727]),c_0_2728]) ).

cnf(c_0_2757,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2729]),c_0_2352]),c_0_1601]) ).

cnf(c_0_2758,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2730]) ).

cnf(c_0_2759,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2731,c_0_2732]),c_0_2733]) ).

cnf(c_0_2760,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2734,c_0_34]) ).

cnf(c_0_2761,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2735]) ).

cnf(c_0_2762,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2736,c_0_31]) ).

cnf(c_0_2763,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2737]),c_0_2738]) ).

cnf(c_0_2764,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2739,c_0_31]) ).

cnf(c_0_2765,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2740]),c_0_2741]) ).

cnf(c_0_2766,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2742]),c_0_2743]) ).

cnf(c_0_2767,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2744]) ).

cnf(c_0_2768,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2495]) ).

cnf(c_0_2769,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2745]) ).

cnf(c_0_2770,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2075,c_0_34]) ).

cnf(c_0_2771,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2746]) ).

cnf(c_0_2772,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2714,c_0_34]) ).

cnf(c_0_2773,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2747]),c_0_2127]) ).

cnf(c_0_2774,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2078,c_0_34]) ).

cnf(c_0_2775,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2748]),c_0_2686]) ).

cnf(c_0_2776,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2749]),c_0_2218]) ).

cnf(c_0_2777,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2750,c_0_31]) ).

cnf(c_0_2778,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2751]),c_0_2689]) ).

cnf(c_0_2779,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2721,c_0_34]) ).

cnf(c_0_2780,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2752]),c_0_2689]) ).

cnf(c_0_2781,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2753]),c_0_2580]) ).

cnf(c_0_2782,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2754,c_0_31]) ).

cnf(c_0_2783,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2755]),c_0_2142]) ).

cnf(c_0_2784,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2756]),c_0_2757]) ).

cnf(c_0_2785,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2758]),c_0_2667]) ).

cnf(c_0_2786,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_2759]),c_0_71]) ).

cnf(c_0_2787,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2760]) ).

cnf(c_0_2788,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2761,c_0_31]) ).

cnf(c_0_2789,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2671,c_0_34]) ).

cnf(c_0_2790,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2736,c_0_34]) ).

cnf(c_0_2791,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2762]),c_0_2763]) ).

cnf(c_0_2792,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2675,c_0_34]) ).

cnf(c_0_2793,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2739,c_0_34]) ).

cnf(c_0_2794,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2764]),c_0_2765]) ).

cnf(c_0_2795,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2679,c_0_31]),c_0_2766]) ).

cnf(c_0_2796,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2767]) ).

cnf(c_0_2797,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2768]) ).

cnf(c_0_2798,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2769,c_0_31]) ).

cnf(c_0_2799,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2770]) ).

cnf(c_0_2800,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2771,c_0_31]) ).

cnf(c_0_2801,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2772]),c_0_2773]) ).

cnf(c_0_2802,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2774]) ).

cnf(c_0_2803,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2775]) ).

cnf(c_0_2804,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2776]),c_0_2061]) ).

cnf(c_0_2805,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2750,c_0_34]) ).

cnf(c_0_2806,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2777]),c_0_2778]) ).

cnf(c_0_2807,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2779]),c_0_2780]) ).

cnf(c_0_2808,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2781]),c_0_2436]) ).

cnf(c_0_2809,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2754,c_0_34]) ).

cnf(c_0_2810,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2782]),c_0_2783]) ).

cnf(c_0_2811,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2784]) ).

cnf(c_0_2812,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2728,c_0_1643]) ).

cnf(c_0_2813,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2785]),c_0_2786]) ).

cnf(c_0_2814,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2787,c_0_34]) ).

cnf(c_0_2815,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'('0',f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2787,c_0_31]) ).

cnf(c_0_2816,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2702,c_0_34]) ).

cnf(c_0_2817,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2761,c_0_34]) ).

cnf(c_0_2818,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2788]),c_0_1056]) ).

cnf(c_0_2819,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2789]) ).

cnf(c_0_2820,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2790]),c_0_2791]) ).

cnf(c_0_2821,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_1966]) ).

cnf(c_0_2822,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2436]) ).

cnf(c_0_2823,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2792]) ).

cnf(c_0_2824,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2793]),c_0_2794]) ).

cnf(c_0_2825,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2795]),c_0_2743]) ).

cnf(c_0_2826,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2796]) ).

cnf(c_0_2827,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2797]) ).

cnf(c_0_2828,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2798]) ).

cnf(c_0_2829,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2799,c_0_31]) ).

cnf(c_0_2830,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2771,c_0_34]) ).

cnf(c_0_2831,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2800]),c_0_2280]) ).

cnf(c_0_2832,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2801]),c_0_2127]) ).

cnf(c_0_2833,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2802,c_0_31]) ).

cnf(c_0_2834,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2803]),c_0_1953]),c_0_1866]) ).

cnf(c_0_2835,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2804]) ).

cnf(c_0_2836,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2805]),c_0_2806]) ).

cnf(c_0_2837,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2807]),c_0_2689]) ).

cnf(c_0_2838,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2808]),c_0_2397]) ).

cnf(c_0_2839,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2809]),c_0_2810]) ).

cnf(c_0_2840,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2166,c_0_2811]),c_0_2757]),c_0_2812]) ).

cnf(c_0_2841,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2813,c_0_1554]),c_0_1381]),c_0_228]),c_0_1643]) ).

cnf(c_0_2842,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2814]),c_0_2815]) ).

cnf(c_0_2843,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_458,c_0_34]) ).

cnf(c_0_2844,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2431,c_0_34]) ).

cnf(c_0_2845,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2816]) ).

cnf(c_0_2846,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2817]),c_0_2818]) ).

cnf(c_0_2847,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2003,c_0_34]) ).

cnf(c_0_2848,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_2819,c_0_31]) ).

cnf(c_0_2849,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2820]),c_0_2763]) ).

cnf(c_0_2850,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2821]) ).

cnf(c_0_2851,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2822]) ).

cnf(c_0_2852,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_2823,c_0_31]) ).

cnf(c_0_2853,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2824]),c_0_2765]) ).

cnf(c_0_2854,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2825]) ).

cnf(c_0_2855,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2743]) ).

cnf(c_0_2856,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2095]) ).

cnf(c_0_2857,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2826]),c_0_2827]) ).

cnf(c_0_2858,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2828,c_0_31]) ).

cnf(c_0_2859,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2799,c_0_34]) ).

cnf(c_0_2860,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2829]),c_0_2417]) ).

cnf(c_0_2861,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2830]),c_0_2831]) ).

cnf(c_0_2862,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2832]),c_0_1966]) ).

cnf(c_0_2863,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2802,c_0_34]) ).

cnf(c_0_2864,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2833]),c_0_2418]) ).

cnf(c_0_2865,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2834]) ).

cnf(c_0_2866,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2835]),c_0_2406]),c_0_2812]) ).

cnf(c_0_2867,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2836]),c_0_2778]) ).

cnf(c_0_2868,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2837]),c_0_2838]) ).

cnf(c_0_2869,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2839]),c_0_2783]) ).

cnf(c_0_2870,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_2840]) ).

cnf(c_0_2871,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2841,c_0_990]),c_0_2406]),c_0_228]) ).

cnf(c_0_2872,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_583,c_0_34]) ).

cnf(c_0_2873,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1122,c_0_31]) ).

cnf(c_0_2874,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2842]) ).

cnf(c_0_2875,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_2843]) ).

cnf(c_0_2876,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2844]) ).

cnf(c_0_2877,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2845,c_0_31]) ).

cnf(c_0_2878,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2846]),c_0_1056]) ).

cnf(c_0_2879,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2847]) ).

cnf(c_0_2880,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2819,c_0_34]) ).

cnf(c_0_2881,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2848]),c_0_2849]) ).

cnf(c_0_2882,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2850]) ).

cnf(c_0_2883,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2649]) ).

cnf(c_0_2884,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2851]),c_0_1408]) ).

cnf(c_0_2885,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2823,c_0_34]) ).

cnf(c_0_2886,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2852]),c_0_2853]) ).

cnf(c_0_2887,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2854]) ).

cnf(c_0_2888,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2855]),c_0_2856]) ).

cnf(c_0_2889,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2857]),c_0_1295]) ).

cnf(c_0_2890,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2828,c_0_34]) ).

cnf(c_0_2891,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2858]),c_0_1271]) ).

cnf(c_0_2892,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2859]),c_0_2860]) ).

cnf(c_0_2893,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2861]),c_0_2280]) ).

cnf(c_0_2894,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2862]),c_0_2396]) ).

cnf(c_0_2895,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2863]),c_0_2864]) ).

cnf(c_0_2896,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2865]) ).

cnf(c_0_2897,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2866]) ).

cnf(c_0_2898,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2867]),c_0_2868]) ).

cnf(c_0_2899,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2869]),c_0_2397]) ).

cnf(c_0_2900,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2870,c_0_2271]) ).

cnf(c_0_2901,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2871,c_0_2068]),c_0_2406]),c_0_1643]) ).

cnf(c_0_2902,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1607,c_0_34]) ).

cnf(c_0_2903,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2872]) ).

cnf(c_0_2904,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2342,c_0_34]) ).

cnf(c_0_2905,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2487,c_0_34]) ).

cnf(c_0_2906,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2873]) ).

cnf(c_0_2907,plain,
    ( 'LE'(f(g(X1)),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s(s('0')),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2734,c_0_31]),c_0_2874]) ).

cnf(c_0_2908,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2875,c_0_31]) ).

cnf(c_0_2909,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_522,c_0_34]) ).

cnf(c_0_2910,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2876,c_0_31]) ).

cnf(c_0_2911,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2845,c_0_34]) ).

cnf(c_0_2912,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2877]),c_0_2878]) ).

cnf(c_0_2913,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2879,c_0_31]) ).

cnf(c_0_2914,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2880]),c_0_2881]) ).

cnf(c_0_2915,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1431,c_0_2882]),c_0_1359]) ).

cnf(c_0_2916,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2883]) ).

cnf(c_0_2917,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2882]),c_0_1386]) ).

cnf(c_0_2918,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1431,c_0_2884]) ).

cnf(c_0_2919,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_2884]) ).

cnf(c_0_2920,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1242]) ).

cnf(c_0_2921,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2885]),c_0_2886]) ).

cnf(c_0_2922,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2630,c_0_2555]),c_0_142]),c_0_2632]),c_0_91]) ).

cnf(c_0_2923,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2638,c_0_2887]),c_0_2888]),c_0_2889]),c_0_228]),c_0_142]),c_0_91]) ).

cnf(c_0_2924,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2890]),c_0_2891]) ).

cnf(c_0_2925,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2892]),c_0_2417]) ).

cnf(c_0_2926,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2893]),c_0_2894]) ).

cnf(c_0_2927,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2895]),c_0_2418]) ).

cnf(c_0_2928,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_2896]),c_0_2897]) ).

cnf(c_0_2929,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2898]) ).

cnf(c_0_2930,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2868]) ).

cnf(c_0_2931,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2899]) ).

cnf(c_0_2932,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_2900]) ).

cnf(c_0_2933,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_744]) ).

cnf(c_0_2934,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2871,c_0_602]),c_0_2901]),c_0_2757]),c_0_2406]),c_0_1643]) ).

cnf(c_0_2935,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1561,c_0_34]) ).

cnf(c_0_2936,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2902]) ).

cnf(c_0_2937,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2903,c_0_31]) ).

cnf(c_0_2938,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2433,c_0_34]) ).

cnf(c_0_2939,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2904]) ).

cnf(c_0_2940,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2905]) ).

cnf(c_0_2941,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(X2))))
    | 'E'(s(s(s('0'))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2906]) ).

cnf(c_0_2942,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2907]) ).

cnf(c_0_2943,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2908]) ).

cnf(c_0_2944,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2909]) ).

cnf(c_0_2945,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_611,c_0_34]) ).

cnf(c_0_2946,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_681,c_0_34]) ).

cnf(c_0_2947,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2876,c_0_34]) ).

cnf(c_0_2948,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2910]),c_0_2686]) ).

cnf(c_0_2949,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2911]),c_0_2912]) ).

cnf(c_0_2950,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2889,c_0_2541]) ).

cnf(c_0_2951,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2879,c_0_34]) ).

cnf(c_0_2952,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2913]),c_0_2364]) ).

cnf(c_0_2953,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2914]),c_0_2849]) ).

cnf(c_0_2954,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2915,c_0_2916]),c_0_2917]) ).

cnf(c_0_2955,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2918,c_0_1528]),c_0_2919]),c_0_1408]) ).

cnf(c_0_2956,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1408,c_0_2920]),c_0_1161]),c_0_142]) ).

cnf(c_0_2957,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2921]),c_0_2853]) ).

cnf(c_0_2958,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_2627]),c_0_91]) ).

cnf(c_0_2959,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2922,c_0_2596]),c_0_2923]),c_0_91]) ).

cnf(c_0_2960,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1383,c_0_2627]),c_0_91]),c_0_2600]) ).

cnf(c_0_2961,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2924]),c_0_1271]) ).

cnf(c_0_2962,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2925]),c_0_2926]) ).

cnf(c_0_2963,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2927]),c_0_2396]) ).

cnf(c_0_2964,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2166,c_0_2928]),c_0_2728]) ).

cnf(c_0_2965,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2929]) ).

cnf(c_0_2966,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2930]),c_0_2931]) ).

cnf(c_0_2967,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2932,c_0_2410]),c_0_2411]) ).

cnf(c_0_2968,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2933]),c_0_869]) ).

cnf(c_0_2969,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2934,c_0_627]),c_0_2757]),c_0_2406]) ).

cnf(c_0_2970,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2935]) ).

cnf(c_0_2971,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2936,c_0_31]) ).

cnf(c_0_2972,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2937]) ).

cnf(c_0_2973,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_2341,c_0_34]) ).

cnf(c_0_2974,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2938]) ).

cnf(c_0_2975,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2939,c_0_31]) ).

cnf(c_0_2976,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2940,c_0_31]) ).

cnf(c_0_2977,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2941,c_0_31]),c_0_2942]) ).

cnf(c_0_2978,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2943,c_0_31]) ).

cnf(c_0_2979,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2944,c_0_31]) ).

cnf(c_0_2980,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_2945]) ).

cnf(c_0_2981,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2946]) ).

cnf(c_0_2982,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2947]),c_0_2948]) ).

cnf(c_0_2983,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2949]),c_0_2878]) ).

cnf(c_0_2984,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2950,c_0_2557]),c_0_2585]) ).

cnf(c_0_2985,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2951]),c_0_2952]) ).

cnf(c_0_2986,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2953]),c_0_2763]) ).

cnf(c_0_2987,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2954,c_0_2354]),c_0_1472]) ).

cnf(c_0_2988,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2955,c_0_2358]),c_0_1472]),c_0_2956]) ).

cnf(c_0_2989,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2957]),c_0_2765]) ).

cnf(c_0_2990,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2918,c_0_1385]),c_0_1471]) ).

cnf(c_0_2991,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2958]),c_0_2959]) ).

cnf(c_0_2992,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2960]) ).

cnf(c_0_2993,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2499]) ).

cnf(c_0_2994,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2961]) ).

cnf(c_0_2995,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2962]) ).

cnf(c_0_2996,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2926]) ).

cnf(c_0_2997,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2963]) ).

cnf(c_0_2998,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2964,c_0_2965]),c_0_2966]) ).

cnf(c_0_2999,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_2967]) ).

cnf(c_0_3000,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2934,c_0_2968]),c_0_2969]),c_0_2757]),c_0_2406]),c_0_1643]) ).

cnf(c_0_3001,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2970,c_0_31]) ).

cnf(c_0_3002,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_2971]) ).

cnf(c_0_3003,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1606,c_0_34]) ).

cnf(c_0_3004,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2972,c_0_31]),c_0_2515]) ).

cnf(c_0_3005,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2973]) ).

cnf(c_0_3006,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_2974,c_0_31]) ).

cnf(c_0_3007,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2975]) ).

cnf(c_0_3008,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_2976]) ).

cnf(c_0_3009,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2941,c_0_34]) ).

cnf(c_0_3010,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_283]) ).

cnf(c_0_3011,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2977]) ).

cnf(c_0_3012,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2978]) ).

cnf(c_0_3013,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_2979]) ).

cnf(c_0_3014,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2980,c_0_31]) ).

cnf(c_0_3015,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2981,c_0_31]) ).

cnf(c_0_3016,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2982]),c_0_2686]) ).

cnf(c_0_3017,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_2983]),c_0_1264]) ).

cnf(c_0_3018,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2984]) ).

cnf(c_0_3019,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_2985]),c_0_2364]) ).

cnf(c_0_3020,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2986]),c_0_2738]) ).

cnf(c_0_3021,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_2987]),c_0_2988]) ).

cnf(c_0_3022,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_2358]),c_0_2495]) ).

cnf(c_0_3023,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_2989]),c_0_2741]) ).

cnf(c_0_3024,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2990,c_0_1161]) ).

cnf(c_0_3025,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_2991]),c_0_2992]) ).

cnf(c_0_3026,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2993]) ).

cnf(c_0_3027,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2994]) ).

cnf(c_0_3028,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2995]) ).

cnf(c_0_3029,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_2996]),c_0_2997]) ).

cnf(c_0_3030,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_2998]),c_0_71]) ).

cnf(c_0_3031,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2999,c_0_2503]),c_0_2504]),c_0_2505]) ).

cnf(c_0_3032,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3000]) ).

cnf(c_0_3033,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3001]) ).

cnf(c_0_3034,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3002,c_0_31]) ).

cnf(c_0_3035,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3003]) ).

cnf(c_0_3036,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2972,c_0_34]),c_0_2515]) ).

cnf(c_0_3037,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3004]) ).

cnf(c_0_3038,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1369,c_0_34]) ).

cnf(c_0_3039,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3005,c_0_31]) ).

cnf(c_0_3040,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3006]) ).

cnf(c_0_3041,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3007,c_0_31]) ).

cnf(c_0_3042,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3008,c_0_31]) ).

cnf(c_0_3043,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3009]) ).

cnf(c_0_3044,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3010]),c_0_2842]) ).

cnf(c_0_3045,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3011]) ).

cnf(c_0_3046,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3012,c_0_31]) ).

cnf(c_0_3047,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3013,c_0_31]) ).

cnf(c_0_3048,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3014]) ).

cnf(c_0_3049,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3015]) ).

cnf(c_0_3050,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3016]) ).

cnf(c_0_3051,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3017]),c_0_1152]),c_0_2546]) ).

cnf(c_0_3052,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3018,c_0_2758]) ).

cnf(c_0_3053,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3019]),c_0_2804]) ).

cnf(c_0_3054,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3020]),c_0_2403]) ).

cnf(c_0_3055,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3021]) ).

cnf(c_0_3056,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3022]) ).

cnf(c_0_3057,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3023]),c_0_1471]) ).

cnf(c_0_3058,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3024,c_0_784]),c_0_1498]) ).

cnf(c_0_3059,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3025,c_0_2732]),c_0_2733]),c_0_91]) ).

cnf(c_0_3060,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3026]),c_0_3027]) ).

cnf(c_0_3061,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2964,c_0_3028]),c_0_3029]) ).

cnf(c_0_3062,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_3030]),c_0_3031]),c_0_91]) ).

cnf(c_0_3063,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3032,c_0_34]) ).

cnf(c_0_3064,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3033,c_0_31]) ).

cnf(c_0_3065,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3034]) ).

cnf(c_0_3066,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3035,c_0_31]) ).

cnf(c_0_3067,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3036]) ).

cnf(c_0_3068,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3037,c_0_34]) ).

cnf(c_0_3069,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3037,c_0_31]) ).

cnf(c_0_3070,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3038]) ).

cnf(c_0_3071,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3039]) ).

cnf(c_0_3072,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3040,c_0_31]) ).

cnf(c_0_3073,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2939,c_0_34]) ).

cnf(c_0_3074,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3007,c_0_34]) ).

cnf(c_0_3075,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3041]),c_0_2868]) ).

cnf(c_0_3076,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2940,c_0_34]) ).

cnf(c_0_3077,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3008,c_0_34]) ).

cnf(c_0_3078,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3042]),c_0_2899]) ).

cnf(c_0_3079,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2769,c_0_34]) ).

cnf(c_0_3080,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_389]) ).

cnf(c_0_3081,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3043,c_0_34]) ).

cnf(c_0_3082,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3043,c_0_31]) ).

cnf(c_0_3083,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s('0'),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3044]) ).

cnf(c_0_3084,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3045,c_0_34]) ).

cnf(c_0_3085,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3046]) ).

cnf(c_0_3086,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3047]) ).

cnf(c_0_3087,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3048,c_0_31]) ).

cnf(c_0_3088,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3049,c_0_31]) ).

cnf(c_0_3089,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3050]),c_0_2834]) ).

cnf(c_0_3090,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3051]) ).

cnf(c_0_3091,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3052]),c_0_2786]) ).

cnf(c_0_3092,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3053]) ).

cnf(c_0_3093,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_3054]) ).

cnf(c_0_3094,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3055,c_0_389]),c_0_3056]) ).

cnf(c_0_3095,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3057]),c_0_3058]) ).

cnf(c_0_3096,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3059,c_0_3060]),c_0_91]),c_0_2959]) ).

cnf(c_0_3097,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_3061]),c_0_71]),c_0_3062]) ).

cnf(c_0_3098,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3063]) ).

cnf(c_0_3099,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3064]) ).

cnf(c_0_3100,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3065,c_0_34]) ).

cnf(c_0_3101,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3066]) ).

cnf(c_0_3102,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3067,c_0_31]) ).

cnf(c_0_3103,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3068]),c_0_3069]) ).

cnf(c_0_3104,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3070,c_0_31]) ).

cnf(c_0_3105,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3071,c_0_31]) ).

cnf(c_0_3106,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3040,c_0_34]) ).

cnf(c_0_3107,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3072]),c_0_2898]) ).

cnf(c_0_3108,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3073]) ).

cnf(c_0_3109,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3074]),c_0_3075]) ).

cnf(c_0_3110,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3076]) ).

cnf(c_0_3111,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3077]),c_0_3078]) ).

cnf(c_0_3112,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3079]) ).

cnf(c_0_3113,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3080]) ).

cnf(c_0_3114,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3081]),c_0_3082]) ).

cnf(c_0_3115,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_3083]) ).

cnf(c_0_3116,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3084]) ).

cnf(c_0_3117,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3085,c_0_31]) ).

cnf(c_0_3118,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3086,c_0_31]) ).

cnf(c_0_3119,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3087]) ).

cnf(c_0_3120,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3088]) ).

cnf(c_0_3121,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3089]),c_0_1953]) ).

cnf(c_0_3122,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_3090]) ).

cnf(c_0_3123,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_3091]),c_0_54]) ).

cnf(c_0_3124,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3092]),c_0_2263]) ).

cnf(c_0_3125,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_3093]),c_0_3094]),c_0_3095]) ).

cnf(c_0_3126,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3096,c_0_3097]),c_0_71]) ).

cnf(c_0_3127,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3098,c_0_34]) ).

cnf(c_0_3128,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3098,c_0_31]) ).

cnf(c_0_3129,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3099,c_0_31]) ).

cnf(c_0_3130,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3100]) ).

cnf(c_0_3131,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3101,c_0_31]) ).

cnf(c_0_3132,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3067,c_0_34]) ).

cnf(c_0_3133,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3102]),c_0_3103]) ).

cnf(c_0_3134,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3104]) ).

cnf(c_0_3135,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3105]) ).

cnf(c_0_3136,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3106]),c_0_3107]) ).

cnf(c_0_3137,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2974,c_0_34]) ).

cnf(c_0_3138,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3108,c_0_31]) ).

cnf(c_0_3139,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3109]),c_0_2868]) ).

cnf(c_0_3140,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3110,c_0_31]) ).

cnf(c_0_3141,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3111]),c_0_2899]) ).

cnf(c_0_3142,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2713,c_0_34]) ).

cnf(c_0_3143,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3112,c_0_31]) ).

cnf(c_0_3144,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_1504]) ).

cnf(c_0_3145,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_1414]) ).

cnf(c_0_3146,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_3113]) ).

cnf(c_0_3147,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3114]),c_0_3115]) ).

cnf(c_0_3148,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3045,c_0_31]),c_0_3116]) ).

cnf(c_0_3149,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3117]),c_0_3118]) ).

cnf(c_0_3150,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3119,c_0_31]) ).

cnf(c_0_3151,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3120,c_0_31]) ).

cnf(c_0_3152,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3121]),c_0_3122]) ).

cnf(c_0_3153,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3123,c_0_2631]),c_0_3124]),c_0_3125]),c_0_2699]),c_0_3126]) ).

cnf(c_0_3154,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3127]),c_0_3128]) ).

cnf(c_0_3155,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3129]) ).

cnf(c_0_3156,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3130]),c_0_2686]) ).

cnf(c_0_3157,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_3131]),c_0_2695]) ).

cnf(c_0_3158,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3132]),c_0_3133]) ).

cnf(c_0_3159,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3134,c_0_31]) ).

cnf(c_0_3160,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_2167]),c_0_2599]) ).

cnf(c_0_3161,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3135,c_0_31]) ).

cnf(c_0_3162,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3136]),c_0_2898]) ).

cnf(c_0_3163,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3137]) ).

cnf(c_0_3164,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3108,c_0_34]) ).

cnf(c_0_3165,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3138]),c_0_3139]) ).

cnf(c_0_3166,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3110,c_0_34]) ).

cnf(c_0_3167,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3140]),c_0_3141]) ).

cnf(c_0_3168,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3142]) ).

cnf(c_0_3169,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3112,c_0_34]) ).

cnf(c_0_3170,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3143]),c_0_2961]) ).

cnf(c_0_3171,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3144]) ).

cnf(c_0_3172,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3145]),c_0_3146]) ).

cnf(c_0_3173,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3147]),c_0_3148]) ).

cnf(c_0_3174,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3149]) ).

cnf(c_0_3175,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3150]) ).

cnf(c_0_3176,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3120,c_0_34]) ).

cnf(c_0_3177,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3151]),c_0_2878]) ).

cnf(c_0_3178,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3152]) ).

cnf(c_0_3179,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3153,c_0_2213]),c_0_3154]),c_0_1643]) ).

cnf(c_0_3180,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3155,c_0_34]) ).

cnf(c_0_3181,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3065,c_0_31]),c_0_3156]) ).

cnf(c_0_3182,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3157,c_0_34]) ).

cnf(c_0_3183,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3158]),c_0_3103]) ).

cnf(c_0_3184,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3159]) ).

cnf(c_0_3185,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3160]) ).

cnf(c_0_3186,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2641]) ).

cnf(c_0_3187,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2520]) ).

cnf(c_0_3188,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2099]) ).

cnf(c_0_3189,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_3005,c_0_34]) ).

cnf(c_0_3190,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3071,c_0_34]) ).

cnf(c_0_3191,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3135,c_0_34]) ).

cnf(c_0_3192,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3161]),c_0_3162]) ).

cnf(c_0_3193,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3163,c_0_31]) ).

cnf(c_0_3194,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3164]),c_0_3165]) ).

cnf(c_0_3195,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3166]),c_0_3167]) ).

cnf(c_0_3196,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3168,c_0_31]) ).

cnf(c_0_3197,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3169]),c_0_3170]) ).

cnf(c_0_3198,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3171]),c_0_2516]) ).

cnf(c_0_3199,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3172]),c_0_3173]) ).

cnf(c_0_3200,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3174,c_0_34]) ).

cnf(c_0_3201,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3175,c_0_34]) ).

cnf(c_0_3202,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3176]),c_0_3177]) ).

cnf(c_0_3203,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1382,c_0_3178]) ).

cnf(c_0_3204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3179,c_0_1666]),c_0_2406]),c_0_1643]) ).

cnf(c_0_3205,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3180]) ).

cnf(c_0_3206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3181]),c_0_2686]) ).

cnf(c_0_3207,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3182]) ).

cnf(c_0_3208,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3183]) ).

cnf(c_0_3209,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3184,c_0_34]) ).

cnf(c_0_3210,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2778]) ).

cnf(c_0_3211,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2689]) ).

cnf(c_0_3212,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_2783]) ).

cnf(c_0_3213,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_3185]) ).

cnf(c_0_3214,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3186]) ).

cnf(c_0_3215,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3187]),c_0_3188]) ).

cnf(c_0_3216,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3189]) ).

cnf(c_0_3217,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3190]) ).

cnf(c_0_3218,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3191]),c_0_3192]) ).

cnf(c_0_3219,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3163,c_0_34]) ).

cnf(c_0_3220,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3193]),c_0_3162]) ).

cnf(c_0_3221,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3194]),c_0_3139]) ).

cnf(c_0_3222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3195]),c_0_3141]) ).

cnf(c_0_3223,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3196]) ).

cnf(c_0_3224,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3197]),c_0_2961]) ).

cnf(c_0_3225,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3198]),c_0_3199]) ).

cnf(c_0_3226,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3200]) ).

cnf(c_0_3227,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3201]) ).

cnf(c_0_3228,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3202]),c_0_2878]) ).

cnf(c_0_3229,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3203,c_0_2928]),c_0_2728]) ).

cnf(c_0_3230,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2871,c_0_3204]),c_0_3154]) ).

cnf(c_0_3231,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3205]),c_0_3206]) ).

cnf(c_0_3232,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3157,c_0_31]),c_0_3207]) ).

cnf(c_0_3233,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3208]) ).

cnf(c_0_3234,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3209]) ).

cnf(c_0_3235,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2331]) ).

cnf(c_0_3236,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3210]) ).

cnf(c_0_3237,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3211]) ).

cnf(c_0_3238,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3212]) ).

cnf(c_0_3239,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3213,c_0_3214]),c_0_3215]),c_0_228]),c_0_71]) ).

cnf(c_0_3240,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_3216,c_0_34]) ).

cnf(c_0_3241,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3217,c_0_31]) ).

cnf(c_0_3242,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3218]),c_0_3162]) ).

cnf(c_0_3243,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3219]),c_0_3220]) ).

cnf(c_0_3244,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3221]),c_0_2868]) ).

cnf(c_0_3245,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3222]),c_0_2899]) ).

cnf(c_0_3246,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3223,c_0_31]) ).

cnf(c_0_3247,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3224]),c_0_1271]) ).

cnf(c_0_3248,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_3225]) ).

cnf(c_0_3249,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2444]) ).

cnf(c_0_3250,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3174,c_0_31]),c_0_3226]) ).

cnf(c_0_3251,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3227]),c_0_3228]) ).

cnf(c_0_3252,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3229,c_0_3230]) ).

cnf(c_0_3253,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3155,c_0_31]),c_0_3231]) ).

cnf(c_0_3254,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3232]) ).

cnf(c_0_3255,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3233]) ).

cnf(c_0_3256,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3234]),c_0_1866]) ).

cnf(c_0_3257,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3235]) ).

cnf(c_0_3258,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3236]) ).

cnf(c_0_3259,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3237]),c_0_3238]) ).

cnf(c_0_3260,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_3239]),c_0_91]) ).

cnf(c_0_3261,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3240]) ).

cnf(c_0_3262,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3217,c_0_34]) ).

cnf(c_0_3263,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3241]),c_0_3242]) ).

cnf(c_0_3264,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3243]),c_0_3162]) ).

cnf(c_0_3265,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3244]),c_0_2838]) ).

cnf(c_0_3266,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3245]),c_0_2397]) ).

cnf(c_0_3267,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3168,c_0_34]) ).

cnf(c_0_3268,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3223,c_0_34]) ).

cnf(c_0_3269,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3246]),c_0_3247]) ).

cnf(c_0_3270,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3248]) ).

cnf(c_0_3271,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_3249]) ).

cnf(c_0_3272,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3250]) ).

cnf(c_0_3273,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3175,c_0_31]),c_0_3251]) ).

cnf(c_0_3274,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_3252]) ).

cnf(c_0_3275,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3253]),c_0_3206]) ).

cnf(c_0_3276,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3254]) ).

cnf(c_0_3277,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3255]),c_0_2601]) ).

cnf(c_0_3278,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3184,c_0_31]),c_0_3256]) ).

cnf(c_0_3279,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3257]) ).

cnf(c_0_3280,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_3258]),c_0_3259]),c_0_142]) ).

cnf(c_0_3281,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3213,c_0_2887]),c_0_2888]),c_0_228]),c_0_3260]),c_0_71]) ).

cnf(c_0_3282,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_3261,c_0_34]) ).

cnf(c_0_3283,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3261,c_0_31]) ).

cnf(c_0_3284,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3262]),c_0_3263]) ).

cnf(c_0_3285,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3264]),c_0_2898]) ).

cnf(c_0_3286,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3265]),c_0_3266]) ).

cnf(c_0_3287,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3216,c_0_31]) ).

cnf(c_0_3288,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3267]) ).

cnf(c_0_3289,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3268]),c_0_3269]) ).

cnf(c_0_3290,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3270,c_0_2557]),c_0_71]),c_0_3271]) ).

cnf(c_0_3291,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3272]),c_0_2598]) ).

cnf(c_0_3292,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3273]),c_0_3228]) ).

cnf(c_0_3293,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3274,c_0_2275]) ).

cnf(c_0_3294,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3275]) ).

cnf(c_0_3295,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3276]),c_0_3277]) ).

cnf(c_0_3296,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3278]),c_0_1866]) ).

cnf(c_0_3297,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3279]) ).

cnf(c_0_3298,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3025,c_0_2555]),c_0_2556]),c_0_91]) ).

cnf(c_0_3299,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_3280]),c_0_71]) ).

cnf(c_0_3300,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2923,c_0_3281]),c_0_142]),c_0_71]) ).

cnf(c_0_3301,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3282]),c_0_3283]) ).

cnf(c_0_3302,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3284]),c_0_3242]) ).

cnf(c_0_3303,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3285]),c_0_3286]) ).

cnf(c_0_3304,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3287]) ).

cnf(c_0_3305,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3288,c_0_31]) ).

cnf(c_0_3306,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3289]),c_0_3247]) ).

cnf(c_0_3307,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3290]) ).

cnf(c_0_3308,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3291]) ).

cnf(c_0_3309,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3292]),c_0_3293]) ).

cnf(c_0_3310,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3228]),c_0_2271]) ).

cnf(c_0_3311,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3294]),c_0_3295]) ).

cnf(c_0_3312,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3206]) ).

cnf(c_0_3313,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3296]) ).

cnf(c_0_3314,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3297]),c_0_2637]),c_0_2638]) ).

cnf(c_0_3315,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3298,c_0_2900]),c_0_71]) ).

cnf(c_0_3316,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3299,c_0_2397]),c_0_142]),c_0_3300]),c_0_71]) ).

cnf(c_0_3317,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3301]) ).

cnf(c_0_3318,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3302]),c_0_3303]) ).

cnf(c_0_3319,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3304,c_0_31]) ).

cnf(c_0_3320,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3288,c_0_34]) ).

cnf(c_0_3321,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3305]),c_0_3306]) ).

cnf(c_0_3322,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3307,c_0_3308]),c_0_2964]) ).

cnf(c_0_3323,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3309]) ).

cnf(c_0_3324,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3310]) ).

cnf(c_0_3325,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3311]) ).

cnf(c_0_3326,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3312]) ).

cnf(c_0_3327,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3313]) ).

cnf(c_0_3328,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3314]) ).

cnf(c_0_3329,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3096,c_0_2900]),c_0_71]) ).

cnf(c_0_3330,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2634,c_0_2396]),c_0_142]),c_0_3300]),c_0_71]) ).

cnf(c_0_3331,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3315,c_0_1271]),c_0_71]) ).

cnf(c_0_3332,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3316,c_0_2967]),c_0_91]) ).

cnf(c_0_3333,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3317]),c_0_3318]) ).

cnf(c_0_3334,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3319]),c_0_3263]) ).

cnf(c_0_3335,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3320]),c_0_3321]) ).

cnf(c_0_3336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_2965]),c_0_2966]),c_0_142]) ).

cnf(c_0_3337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2630,c_0_2965]),c_0_2632]),c_0_142]) ).

cnf(c_0_3338,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3322]) ).

cnf(c_0_3339,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3323]) ).

cnf(c_0_3340,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3324]),c_0_2744]) ).

cnf(c_0_3341,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3123,c_0_3325]),c_0_2955]),c_0_2786]) ).

cnf(c_0_3342,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3326]),c_0_3327]) ).

cnf(c_0_3343,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2786,c_0_3060]),c_0_71]),c_0_2699]) ).

cnf(c_0_3344,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3328,c_0_1554]),c_0_1381]),c_0_228]),c_0_142]),c_0_3300]) ).

cnf(c_0_3345,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3329,c_0_1271]),c_0_71]) ).

cnf(c_0_3346,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3330,c_0_3331]),c_0_3332]) ).

cnf(c_0_3347,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3304,c_0_34]) ).

cnf(c_0_3348,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3333,c_0_3334]) ).

cnf(c_0_3349,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3335]),c_0_3306]) ).

cnf(c_0_3350,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_3336]),c_0_71]) ).

cnf(c_0_3351,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3337,c_0_3336]) ).

cnf(c_0_3352,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3338,c_0_3339]),c_0_3340]),c_0_3293]) ).

cnf(c_0_3353,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3341,c_0_3342]),c_0_2699]),c_0_3343]) ).

cnf(c_0_3354,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2699,c_0_2213]),c_0_142]),c_0_3344]),c_0_3330]) ).

cnf(c_0_3355,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_3345]),c_0_3346]) ).

cnf(c_0_3356,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3347]),c_0_3348]),c_0_3333]) ).

cnf(c_0_3357,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3349]),c_0_3247]) ).

cnf(c_0_3358,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3332,c_0_914]),c_0_91]),c_0_71]) ).

cnf(c_0_3359,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2083,c_0_34]) ).

cnf(c_0_3360,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2635,c_0_2965]),c_0_2966]),c_0_142]),c_0_3350]),c_0_3351]) ).

cnf(c_0_3361,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_3352]),c_0_3353]) ).

cnf(c_0_3362,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3353,c_0_1866]),c_0_3354]),c_0_3355]) ).

cnf(c_0_3363,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3356]),c_0_3318]) ).

cnf(c_0_3364,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3357]),c_0_1271]) ).

cnf(c_0_3365,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3358]) ).

cnf(c_0_3366,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_3359]) ).

cnf(c_0_3367,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3360,c_0_2397]),c_0_142]) ).

cnf(c_0_3368,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3361,c_0_496]),c_0_3362]) ).

cnf(c_0_3369,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3363]),c_0_3303]) ).

cnf(c_0_3370,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3364]),c_0_2796]) ).

cnf(c_0_3371,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3365,c_0_678]),c_0_2490]),c_0_91]),c_0_71]) ).

cnf(c_0_3372,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3266]) ).

cnf(c_0_3373,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3366,c_0_34]) ).

cnf(c_0_3374,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3367,c_0_3368]) ).

cnf(c_0_3375,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3369]),c_0_3286]) ).

cnf(c_0_3376,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3370]) ).

cnf(c_0_3377,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3371]),c_0_2492]) ).

cnf(c_0_3378,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3372]),c_0_3125]) ).

cnf(c_0_3379,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3373]) ).

cnf(c_0_3380,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3374,c_0_914]) ).

cnf(c_0_3381,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_3375]) ).

cnf(c_0_3382,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3376]) ).

cnf(c_0_3383,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3377,c_0_3225]) ).

cnf(c_0_3384,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_3378]) ).

cnf(c_0_3385,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3379,c_0_31]) ).

cnf(c_0_3386,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3380]),c_0_3125]) ).

cnf(c_0_3387,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3381]),c_0_3125]) ).

cnf(c_0_3388,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3286]) ).

cnf(c_0_3389,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3382]),c_0_3383]) ).

cnf(c_0_3390,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3384,c_0_2543]),c_0_3125]) ).

cnf(c_0_3391,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3385]) ).

cnf(c_0_3392,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3386,c_0_678]),c_0_3125]) ).

cnf(c_0_3393,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3387,c_0_2490]),c_0_3125]) ).

cnf(c_0_3394,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3388]),c_0_3125]) ).

cnf(c_0_3395,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3389,c_0_3390]),c_0_3125]) ).

cnf(c_0_3396,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3366,c_0_31]) ).

cnf(c_0_3397,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3391,c_0_34]) ).

cnf(c_0_3398,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3387,c_0_3392]),c_0_3393]),c_0_3394]) ).

cnf(c_0_3399,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_3395]) ).

cnf(c_0_3400,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2002,c_0_34]) ).

cnf(c_0_3401,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3396]) ).

cnf(c_0_3402,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3397]) ).

cnf(c_0_3403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_3398]) ).

cnf(c_0_3404,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_3399,c_0_3230]) ).

cnf(c_0_3405,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3400]) ).

cnf(c_0_3406,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3401,c_0_34]) ).

cnf(c_0_3407,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3391,c_0_31]) ).

cnf(c_0_3408,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3402,c_0_34]) ).

cnf(c_0_3409,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3402,c_0_31]) ).

cnf(c_0_3410,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_3403]),c_0_3404]) ).

cnf(c_0_3411,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3405,c_0_34]) ).

cnf(c_0_3412,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2526,c_0_34]) ).

cnf(c_0_3413,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3406]) ).

cnf(c_0_3414,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3407]) ).

cnf(c_0_3415,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3408]),c_0_3409]),c_0_3410]) ).

cnf(c_0_3416,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3411]) ).

cnf(c_0_3417,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3412]) ).

cnf(c_0_3418,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_716,c_0_34]) ).

cnf(c_0_3419,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3413,c_0_34]) ).

cnf(c_0_3420,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3414,c_0_34]) ).

cnf(c_0_3421,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3414,c_0_31]) ).

cnf(c_0_3422,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3415]) ).

cnf(c_0_3423,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3416,c_0_34]) ).

cnf(c_0_3424,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2611,c_0_34]) ).

cnf(c_0_3425,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3417,c_0_31]) ).

cnf(c_0_3426,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3418]) ).

cnf(c_0_3427,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3419]) ).

cnf(c_0_3428,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3420]),c_0_3421]),c_0_3422]),c_0_3410]) ).

cnf(c_0_3429,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3101,c_0_34]) ).

cnf(c_0_3430,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3423]) ).

cnf(c_0_3431,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3424]) ).

cnf(c_0_3432,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3417,c_0_34]) ).

cnf(c_0_3433,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3425]),c_0_2743]) ).

cnf(c_0_3434,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1849,c_0_34]) ).

cnf(c_0_3435,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3426,c_0_31]) ).

cnf(c_0_3436,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3401,c_0_31]) ).

cnf(c_0_3437,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3413,c_0_31]) ).

cnf(c_0_3438,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3427,c_0_34]) ).

cnf(c_0_3439,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3427,c_0_31]) ).

cnf(c_0_3440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3428]) ).

cnf(c_0_3441,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2395,c_0_34]) ).

cnf(c_0_3442,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3429]) ).

cnf(c_0_3443,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3002,c_0_34]) ).

cnf(c_0_3444,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3134,c_0_34]) ).

cnf(c_0_3445,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3430,c_0_34]),c_0_3404]) ).

cnf(c_0_3446,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2525,c_0_34]) ).

cnf(c_0_3447,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3431,c_0_31]) ).

cnf(c_0_3448,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3432]),c_0_3433]) ).

cnf(c_0_3449,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1941,c_0_34]) ).

cnf(c_0_3450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3434]) ).

cnf(c_0_3451,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3435]) ).

cnf(c_0_3452,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3436]) ).

cnf(c_0_3453,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3437]) ).

cnf(c_0_3454,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3438]),c_0_3439]),c_0_3440]),c_0_3410]) ).

cnf(c_0_3455,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3441]) ).

cnf(c_0_3456,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3442,c_0_31]) ).

cnf(c_0_3457,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3443]) ).

cnf(c_0_3458,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3444]) ).

cnf(c_0_3459,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | ~ 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3445]) ).

cnf(c_0_3460,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3099,c_0_34]) ).

cnf(c_0_3461,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X2)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3446]) ).

cnf(c_0_3462,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3431,c_0_34]) ).

cnf(c_0_3463,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3447]),c_0_2825]) ).

cnf(c_0_3464,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3448]),c_0_2743]) ).

cnf(c_0_3465,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3449]) ).

cnf(c_0_3466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3450,c_0_31]) ).

cnf(c_0_3467,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3451,c_0_31]) ).

cnf(c_0_3468,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2191,c_0_34]) ).

cnf(c_0_3469,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3452,c_0_34]) ).

cnf(c_0_3470,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3453,c_0_34]) ).

cnf(c_0_3471,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3453,c_0_31]) ).

cnf(c_0_3472,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3454]) ).

cnf(c_0_3473,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3455,c_0_31]) ).

cnf(c_0_3474,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3442,c_0_34]) ).

cnf(c_0_3475,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3456]),c_0_3232]) ).

cnf(c_0_3476,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2936,c_0_34]) ).

cnf(c_0_3477,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3457,c_0_31]) ).

cnf(c_0_3478,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3070,c_0_34]) ).

cnf(c_0_3479,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3458,c_0_31]) ).

cnf(c_0_3480,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3416,c_0_31]) ).

cnf(c_0_3481,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3430,c_0_31]),c_0_3459]),c_0_3404]) ).

cnf(c_0_3482,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3460]) ).

cnf(c_0_3483,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_1967,c_0_34]) ).

cnf(c_0_3484,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3461,c_0_31]) ).

cnf(c_0_3485,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3462]),c_0_3463]) ).

cnf(c_0_3486,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3464]),c_0_2649]) ).

cnf(c_0_3487,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3465,c_0_31]) ).

cnf(c_0_3488,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3450,c_0_34]) ).

cnf(c_0_3489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3466]),c_0_2361]) ).

cnf(c_0_3490,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3467]) ).

cnf(c_0_3491,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3468]) ).

cnf(c_0_3492,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3469]) ).

cnf(c_0_3493,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3470]),c_0_3471]),c_0_3472]),c_0_3440]),c_0_3410]) ).

cnf(c_0_3494,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2394,c_0_34]) ).

cnf(c_0_3495,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3455,c_0_34]) ).

cnf(c_0_3496,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3473]),c_0_3232]) ).

cnf(c_0_3497,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3474]),c_0_3475]) ).

cnf(c_0_3498,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3476]) ).

cnf(c_0_3499,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3457,c_0_34]) ).

cnf(c_0_3500,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3477]),c_0_3206]) ).

cnf(c_0_3501,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3478]) ).

cnf(c_0_3502,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3458,c_0_34]) ).

cnf(c_0_3503,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3479]),c_0_3296]) ).

cnf(c_0_3504,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3480]) ).

cnf(c_0_3505,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3481]) ).

cnf(c_0_3506,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2111,c_0_34]) ).

cnf(c_0_3507,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1902,c_0_34]) ).

cnf(c_0_3508,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3033,c_0_34]) ).

cnf(c_0_3509,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3482,c_0_31]) ).

cnf(c_0_3510,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3483]) ).

cnf(c_0_3511,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3484]) ).

cnf(c_0_3512,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3485]),c_0_2825]) ).

cnf(c_0_3513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3486]),c_0_2305]) ).

cnf(c_0_3514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1408,c_0_1471]),c_0_142]) ).

cnf(c_0_3515,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3465,c_0_34]) ).

cnf(c_0_3516,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3487]),c_0_2361]) ).

cnf(c_0_3517,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3488]),c_0_3489]) ).

cnf(c_0_3518,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3490,c_0_31]) ).

cnf(c_0_3519,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3491,c_0_34]) ).

cnf(c_0_3520,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3452,c_0_31]) ).

cnf(c_0_3521,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3492,c_0_34]) ).

cnf(c_0_3522,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3492,c_0_31]) ).

cnf(c_0_3523,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3493]) ).

cnf(c_0_3524,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3494]) ).

cnf(c_0_3525,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3495]),c_0_3496]) ).

cnf(c_0_3526,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3497]),c_0_3232]) ).

cnf(c_0_3527,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3498,c_0_31]) ).

cnf(c_0_3528,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3499]),c_0_3500]) ).

cnf(c_0_3529,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3501,c_0_31]) ).

cnf(c_0_3530,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3502]),c_0_3503]) ).

cnf(c_0_3531,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3405,c_0_31]) ).

cnf(c_0_3532,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3504,c_0_34]),c_0_3505]),c_0_3404]) ).

cnf(c_0_3533,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3506]) ).

cnf(c_0_3534,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3507]) ).

cnf(c_0_3535,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2970,c_0_34]) ).

cnf(c_0_3536,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3508]) ).

cnf(c_0_3537,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3482,c_0_34]) ).

cnf(c_0_3538,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3509]),c_0_3275]) ).

cnf(c_0_3539,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1871,c_0_34]) ).

cnf(c_0_3540,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3510,c_0_31]) ).

cnf(c_0_3541,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3511,c_0_31]) ).

cnf(c_0_3542,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3512]),c_0_3513]) ).

cnf(c_0_3543,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3307,c_0_2627]) ).

cnf(c_0_3544,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2954,c_0_2401]) ).

cnf(c_0_3545,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2955,c_0_2403]),c_0_3514]) ).

cnf(c_0_3546,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3515]),c_0_3516]) ).

cnf(c_0_3547,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3517]),c_0_2361]) ).

cnf(c_0_3548,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3451,c_0_34]) ).

cnf(c_0_3549,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3490,c_0_34]) ).

cnf(c_0_3550,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3518]),c_0_2361]) ).

cnf(c_0_3551,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3519]) ).

cnf(c_0_3552,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3520]) ).

cnf(c_0_3553,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3521]),c_0_3522]),c_0_3523]),c_0_3410]) ).

cnf(c_0_3554,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3524,c_0_31]) ).

cnf(c_0_3555,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3525]),c_0_3232]) ).

cnf(c_0_3556,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3526]),c_0_3016]) ).

cnf(c_0_3557,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3527]) ).

cnf(c_0_3558,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3528]),c_0_3206]) ).

cnf(c_0_3559,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3529]) ).

cnf(c_0_3560,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3530]),c_0_3296]) ).

cnf(c_0_3561,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3531]) ).

cnf(c_0_3562,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3532]) ).

cnf(c_0_3563,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3533,c_0_31]) ).

cnf(c_0_3564,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3534,c_0_34]) ).

cnf(c_0_3565,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3535]) ).

cnf(c_0_3566,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3536,c_0_31]) ).

cnf(c_0_3567,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3537]),c_0_3538]) ).

cnf(c_0_3568,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3539]) ).

cnf(c_0_3569,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3540]) ).

cnf(c_0_3570,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3461,c_0_34]) ).

cnf(c_0_3571,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3511,c_0_34]) ).

cnf(c_0_3572,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3541]),c_0_3542]) ).

cnf(c_0_3573,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3543]) ).

cnf(c_0_3574,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2635,c_0_2555]),c_0_2556]),c_0_142]),c_0_2634]),c_0_2959]) ).

cnf(c_0_3575,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2992,c_0_2555]),c_0_2556]),c_0_91]) ).

cnf(c_0_3576,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_3544]),c_0_3545]) ).

cnf(c_0_3577,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3546]),c_0_2361]) ).

cnf(c_0_3578,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3547]) ).

cnf(c_0_3579,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2156,c_0_34]) ).

cnf(c_0_3580,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2202,c_0_34]) ).

cnf(c_0_3581,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3548]) ).

cnf(c_0_3582,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3549]),c_0_3550]) ).

cnf(c_0_3583,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3551,c_0_34]) ).

cnf(c_0_3584,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3552,c_0_34]) ).

cnf(c_0_3585,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3552,c_0_31]) ).

cnf(c_0_3586,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3553]) ).

cnf(c_0_3587,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2192,c_0_34]) ).

cnf(c_0_3588,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3554]),c_0_2660]) ).

cnf(c_0_3589,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3555]),c_0_3556]) ).

cnf(c_0_3590,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3557,c_0_31]) ).

cnf(c_0_3591,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3558]),c_0_2834]) ).

cnf(c_0_3592,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3559,c_0_31]) ).

cnf(c_0_3593,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3560]),c_0_1866]) ).

cnf(c_0_3594,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3561,c_0_34]) ).

cnf(c_0_3595,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3561,c_0_31]) ).

cnf(c_0_3596,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3504,c_0_31]),c_0_3562]),c_0_3505]),c_0_3404]) ).

cnf(c_0_3597,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3533,c_0_34]) ).

cnf(c_0_3598,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3563]) ).

cnf(c_0_3599,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3564]) ).

cnf(c_0_3600,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3534,c_0_31]) ).

cnf(c_0_3601,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3565,c_0_31]) ).

cnf(c_0_3602,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3566]) ).

cnf(c_0_3603,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3567]),c_0_3275]) ).

cnf(c_0_3604,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_1870,c_0_34]) ).

cnf(c_0_3605,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1963,c_0_34]) ).

cnf(c_0_3606,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3568,c_0_31]) ).

cnf(c_0_3607,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3569,c_0_31]) ).

cnf(c_0_3608,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3570]) ).

cnf(c_0_3609,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3571]),c_0_3572]) ).

cnf(c_0_3610,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3573,c_0_2555]),c_0_2556]),c_0_3574]) ).

cnf(c_0_3611,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2728,c_0_2555]),c_0_2556]),c_0_54]) ).

cnf(c_0_3612,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3575,c_0_2900]),c_0_3576]) ).

cnf(c_0_3613,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3542]) ).

cnf(c_0_3614,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3577]) ).

cnf(c_0_3615,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3578]),c_0_1234]),c_0_1271]) ).

cnf(c_0_3616,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3579]) ).

cnf(c_0_3617,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3580]) ).

cnf(c_0_3618,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3581,c_0_31]) ).

cnf(c_0_3619,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3582]),c_0_2361]) ).

cnf(c_0_3620,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3583]) ).

cnf(c_0_3621,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3584]),c_0_3585]),c_0_3586]),c_0_3523]),c_0_3410]) ).

cnf(c_0_3622,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3587]) ).

cnf(c_0_3623,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3035,c_0_34]) ).

cnf(c_0_3624,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3524,c_0_34]) ).

cnf(c_0_3625,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3588]),c_0_3589]) ).

cnf(c_0_3626,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3498,c_0_34]) ).

cnf(c_0_3627,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3557,c_0_34]) ).

cnf(c_0_3628,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3590]),c_0_3591]) ).

cnf(c_0_3629,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3501,c_0_34]) ).

cnf(c_0_3630,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3559,c_0_34]) ).

cnf(c_0_3631,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3592]),c_0_3593]) ).

cnf(c_0_3632,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3594]) ).

cnf(c_0_3633,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3595]) ).

cnf(c_0_3634,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3596]) ).

cnf(c_0_3635,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3597]) ).

cnf(c_0_3636,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3598,c_0_34]),c_0_3404]) ).

cnf(c_0_3637,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3598,c_0_31]),c_0_3404]) ).

cnf(c_0_3638,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3599,c_0_34]),c_0_3404]) ).

cnf(c_0_3639,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3600]) ).

cnf(c_0_3640,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2216,c_0_34]) ).

cnf(c_0_3641,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3565,c_0_34]) ).

cnf(c_0_3642,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3601]) ).

cnf(c_0_3643,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3602,c_0_31]) ).

cnf(c_0_3644,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3603]),c_0_3591]) ).

cnf(c_0_3645,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3604]) ).

cnf(c_0_3646,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3605]) ).

cnf(c_0_3647,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3606]) ).

cnf(c_0_3648,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3510,c_0_34]) ).

cnf(c_0_3649,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3569,c_0_34]) ).

cnf(c_0_3650,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3607]),c_0_2963]) ).

cnf(c_0_3651,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3608,c_0_31]) ).

cnf(c_0_3652,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3609]),c_0_3542]) ).

cnf(c_0_3653,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3610,c_0_3611]),c_0_54]) ).

cnf(c_0_3654,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3574,c_0_2396]),c_0_142]),c_0_3344]) ).

cnf(c_0_3655,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3612,c_0_1271]) ).

cnf(c_0_3656,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2733,c_0_3613]),c_0_3513]),c_0_228]) ).

cnf(c_0_3657,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3614]),c_0_3615]) ).

cnf(c_0_3658,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2359,c_0_34]) ).

cnf(c_0_3659,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2048,c_0_34]) ).

cnf(c_0_3660,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3616,c_0_31]) ).

cnf(c_0_3661,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3617,c_0_31]) ).

cnf(c_0_3662,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3581,c_0_34]) ).

cnf(c_0_3663,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3618]),c_0_3619]) ).

cnf(c_0_3664,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2297,c_0_34]) ).

cnf(c_0_3665,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3491,c_0_31]) ).

cnf(c_0_3666,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3551,c_0_31]) ).

cnf(c_0_3667,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3620,c_0_34]) ).

cnf(c_0_3668,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3620,c_0_31]) ).

cnf(c_0_3669,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3621]) ).

cnf(c_0_3670,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2298,c_0_34]) ).

cnf(c_0_3671,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3622,c_0_34]) ).

cnf(c_0_3672,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3623]) ).

cnf(c_0_3673,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3624]),c_0_3625]) ).

cnf(c_0_3674,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3626]) ).

cnf(c_0_3675,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3627]),c_0_3628]) ).

cnf(c_0_3676,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3629]) ).

cnf(c_0_3677,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3630]),c_0_3631]) ).

cnf(c_0_3678,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3632,c_0_31]),c_0_3404]) ).

cnf(c_0_3679,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3633,c_0_34]),c_0_3634]),c_0_3404]) ).

cnf(c_0_3680,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3635,c_0_31]),c_0_3404]) ).

cnf(c_0_3681,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3636]),c_0_3637]) ).

cnf(c_0_3682,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3638]) ).

cnf(c_0_3683,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3639,c_0_31]) ).

cnf(c_0_3684,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3640]) ).

cnf(c_0_3685,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3641]) ).

cnf(c_0_3686,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3642,c_0_34]) ).

cnf(c_0_3687,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3642,c_0_31]) ).

cnf(c_0_3688,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3536,c_0_34]) ).

cnf(c_0_3689,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3602,c_0_34]) ).

cnf(c_0_3690,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3643]),c_0_3644]) ).

cnf(c_0_3691,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3645,c_0_31]) ).

cnf(c_0_3692,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3646,c_0_31]) ).

cnf(c_0_3693,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3647,c_0_31]) ).

cnf(c_0_3694,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3648]) ).

cnf(c_0_3695,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3649]),c_0_3650]) ).

cnf(c_0_3696,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3608,c_0_34]) ).

cnf(c_0_3697,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3651]),c_0_3652]) ).

cnf(c_0_3698,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3298,c_0_3653]),c_0_54]) ).

cnf(c_0_3699,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3654,c_0_3655]),c_0_3656]) ).

cnf(c_0_3700,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3657]),c_0_1234]) ).

cnf(c_0_3701,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3615]) ).

cnf(c_0_3702,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2894]) ).

cnf(c_0_3703,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_2838]) ).

cnf(c_0_3704,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3658]) ).

cnf(c_0_3705,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3659]) ).

cnf(c_0_3706,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3616,c_0_34]) ).

cnf(c_0_3707,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3660]),c_0_2499]) ).

cnf(c_0_3708,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2201,c_0_34]) ).

cnf(c_0_3709,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3617,c_0_34]) ).

cnf(c_0_3710,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3661]),c_0_2491]) ).

cnf(c_0_3711,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3662]),c_0_3663]) ).

cnf(c_0_3712,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3664]) ).

cnf(c_0_3713,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3665]) ).

cnf(c_0_3714,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3666]) ).

cnf(c_0_3715,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3667]),c_0_3668]),c_0_3669]),c_0_3410]) ).

cnf(c_0_3716,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3670]) ).

cnf(c_0_3717,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3622,c_0_31]) ).

cnf(c_0_3718,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3671]) ).

cnf(c_0_3719,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3672,c_0_31]) ).

cnf(c_0_3720,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3673]),c_0_2660]) ).

cnf(c_0_3721,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3674,c_0_31]) ).

cnf(c_0_3722,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3675]),c_0_3591]) ).

cnf(c_0_3723,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3676,c_0_31]) ).

cnf(c_0_3724,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3677]),c_0_3593]) ).

cnf(c_0_3725,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3632,c_0_34]),c_0_3404]) ).

cnf(c_0_3726,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3678]),c_0_3679]),c_0_3634]) ).

cnf(c_0_3727,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3679]) ).

cnf(c_0_3728,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3635,c_0_34]),c_0_3404]) ).

cnf(c_0_3729,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3680]),c_0_3681]) ).

cnf(c_0_3730,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3599,c_0_31]),c_0_3682]),c_0_3404]) ).

cnf(c_0_3731,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3639,c_0_34]) ).

cnf(c_0_3732,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3683]),c_0_3053]) ).

cnf(c_0_3733,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3684,c_0_31]) ).

cnf(c_0_3734,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3685,c_0_31]) ).

cnf(c_0_3735,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3686]) ).

cnf(c_0_3736,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3687]) ).

cnf(c_0_3737,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3688]) ).

cnf(c_0_3738,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3689]),c_0_3690]) ).

cnf(c_0_3739,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3645,c_0_34]) ).

cnf(c_0_3740,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3691]) ).

cnf(c_0_3741,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3692]) ).

cnf(c_0_3742,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3568,c_0_34]) ).

cnf(c_0_3743,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3647,c_0_34]) ).

cnf(c_0_3744,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3693]),c_0_2926]) ).

cnf(c_0_3745,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3694,c_0_31]) ).

cnf(c_0_3746,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3695]),c_0_2963]) ).

cnf(c_0_3747,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3350,c_0_2397]),c_0_142]),c_0_71]) ).

cnf(c_0_3748,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3696]),c_0_3697]) ).

cnf(c_0_3749,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3698,c_0_2396]),c_0_3699]),c_0_3656]) ).

cnf(c_0_3750,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3700]) ).

cnf(c_0_3751,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3701]) ).

cnf(c_0_3752,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3702]) ).

cnf(c_0_3753,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3703]) ).

cnf(c_0_3754,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2155,c_0_34]) ).

cnf(c_0_3755,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2260,c_0_34]) ).

cnf(c_0_3756,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3704,c_0_31]) ).

cnf(c_0_3757,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3705,c_0_31]) ).

cnf(c_0_3758,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3706]),c_0_3707]) ).

cnf(c_0_3759,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3708]) ).

cnf(c_0_3760,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3709]),c_0_3710]) ).

cnf(c_0_3761,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3711]),c_0_3619]) ).

cnf(c_0_3762,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3712,c_0_31]) ).

cnf(c_0_3763,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3713,c_0_34]) ).

cnf(c_0_3764,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3714,c_0_34]) ).

cnf(c_0_3765,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3714,c_0_31]) ).

cnf(c_0_3766,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3715]) ).

cnf(c_0_3767,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3716,c_0_31]) ).

cnf(c_0_3768,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3717]) ).

cnf(c_0_3769,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3718,c_0_31]) ).

cnf(c_0_3770,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3379,c_0_34]) ).

cnf(c_0_3771,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3719]) ).

cnf(c_0_3772,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3720]),c_0_3589]) ).

cnf(c_0_3773,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3674,c_0_34]) ).

cnf(c_0_3774,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3721]),c_0_3722]) ).

cnf(c_0_3775,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3676,c_0_34]) ).

cnf(c_0_3776,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3723]),c_0_3724]) ).

cnf(c_0_3777,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3725]),c_0_3726]),c_0_3634]) ).

cnf(c_0_3778,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3633,c_0_31]),c_0_3727]),c_0_3634]),c_0_3404]) ).

cnf(c_0_3779,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3728]),c_0_3729]) ).

cnf(c_0_3780,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3730]) ).

cnf(c_0_3781,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3731]),c_0_3732]) ).

cnf(c_0_3782,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3684,c_0_34]) ).

cnf(c_0_3783,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3733]),c_0_2501]) ).

cnf(c_0_3784,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3685,c_0_34]) ).

cnf(c_0_3785,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3734]) ).

cnf(c_0_3786,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3735,c_0_31]) ).

cnf(c_0_3787,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3736,c_0_34]) ).

cnf(c_0_3788,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3737,c_0_31]) ).

cnf(c_0_3789,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3738]),c_0_3644]) ).

cnf(c_0_3790,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3739]) ).

cnf(c_0_3791,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3740,c_0_34]) ).

cnf(c_0_3792,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3740,c_0_31]) ).

cnf(c_0_3793,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3741,c_0_31]) ).

cnf(c_0_3794,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3742]) ).

cnf(c_0_3795,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3743]),c_0_3744]) ).

cnf(c_0_3796,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3694,c_0_34]) ).

cnf(c_0_3797,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3745]),c_0_3746]) ).

cnf(c_0_3798,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3747,c_0_2967]),c_0_91]) ).

cnf(c_0_3799,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3748]),c_0_3652]) ).

cnf(c_0_3800,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3749,c_0_1935]) ).

cnf(c_0_3801,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3750]) ).

cnf(c_0_3802,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_3751]),c_0_3752]) ).

cnf(c_0_3803,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1383,c_0_3753]),c_0_91]) ).

cnf(c_0_3804,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_2738]) ).

cnf(c_0_3805,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3754]) ).

cnf(c_0_3806,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3755]) ).

cnf(c_0_3807,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3704,c_0_34]) ).

cnf(c_0_3808,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3756]),c_0_2629]) ).

cnf(c_0_3809,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3757]) ).

cnf(c_0_3810,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3758]),c_0_2499]) ).

cnf(c_0_3811,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3759,c_0_31]) ).

cnf(c_0_3812,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3760]),c_0_2491]) ).

cnf(c_0_3813,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3761]),c_0_3577]) ).

cnf(c_0_3814,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3713,c_0_31]) ).

cnf(c_0_3815,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3762]) ).

cnf(c_0_3816,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3763]) ).

cnf(c_0_3817,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3764]),c_0_3765]),c_0_3766]),c_0_3669]),c_0_3410]) ).

cnf(c_0_3818,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3767]) ).

cnf(c_0_3819,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3768,c_0_34]) ).

cnf(c_0_3820,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3768,c_0_31]) ).

cnf(c_0_3821,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3769]) ).

cnf(c_0_3822,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3770]) ).

cnf(c_0_3823,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3771,c_0_31]) ).

cnf(c_0_3824,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3772]) ).

cnf(c_0_3825,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3589]) ).

cnf(c_0_3826,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3644]) ).

cnf(c_0_3827,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3773]),c_0_3774]) ).

cnf(c_0_3828,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3775]),c_0_3776]) ).

cnf(c_0_3829,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3777]),c_0_3778]) ).

cnf(c_0_3830,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3779]),c_0_3681]) ).

cnf(c_0_3831,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3780]) ).

cnf(c_0_3832,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3781]),c_0_3053]) ).

cnf(c_0_3833,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3782]),c_0_3783]) ).

cnf(c_0_3834,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3784]) ).

cnf(c_0_3835,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3785,c_0_34]) ).

cnf(c_0_3836,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3785,c_0_31]) ).

cnf(c_0_3837,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3735,c_0_34]) ).

cnf(c_0_3838,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3786]),c_0_3787]),c_0_3410]) ).

cnf(c_0_3839,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3737,c_0_34]) ).

cnf(c_0_3840,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3788]),c_0_3789]) ).

cnf(c_0_3841,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3049,c_0_34]) ).

cnf(c_0_3842,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3790,c_0_31]) ).

cnf(c_0_3843,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3791]) ).

cnf(c_0_3844,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3792]) ).

cnf(c_0_3845,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3646,c_0_34]) ).

cnf(c_0_3846,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3741,c_0_34]) ).

cnf(c_0_3847,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3793]),c_0_2962]) ).

cnf(c_0_3848,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3794,c_0_31]) ).

cnf(c_0_3849,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3795]),c_0_2926]) ).

cnf(c_0_3850,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3796]),c_0_3797]) ).

cnf(c_0_3851,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3798,c_0_914]),c_0_91]),c_0_71]) ).

cnf(c_0_3852,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3799]),c_0_3542]) ).

cnf(c_0_3853,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3800,c_0_1696]),c_0_2401]) ).

cnf(c_0_3854,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1382,c_0_3801]),c_0_3802]) ).

cnf(c_0_3855,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3513]) ).

cnf(c_0_3856,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3803,c_0_3804]),c_0_2403]),c_0_91]) ).

cnf(c_0_3857,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2093,c_0_34]) ).

cnf(c_0_3858,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3426,c_0_34]) ).

cnf(c_0_3859,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3805,c_0_31]) ).

cnf(c_0_3860,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3806,c_0_31]) ).

cnf(c_0_3861,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3807]),c_0_3808]) ).

cnf(c_0_3862,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3809,c_0_31]) ).

cnf(c_0_3863,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3810]),c_0_3615]) ).

cnf(c_0_3864,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3811]),c_0_2491]) ).

cnf(c_0_3865,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3812]),c_0_3813]) ).

cnf(c_0_3866,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3814]) ).

cnf(c_0_3867,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3815,c_0_31]) ).

cnf(c_0_3868,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3816,c_0_34]) ).

cnf(c_0_3869,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3816,c_0_31]) ).

cnf(c_0_3870,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3817]) ).

cnf(c_0_3871,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3818,c_0_31]) ).

cnf(c_0_3872,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3819]) ).

cnf(c_0_3873,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3820]) ).

cnf(c_0_3874,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3821,c_0_34]) ).

cnf(c_0_3875,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3821,c_0_31]) ).

cnf(c_0_3876,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3822,c_0_31]) ).

cnf(c_0_3877,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3672,c_0_34]) ).

cnf(c_0_3878,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3771,c_0_34]) ).

cnf(c_0_3879,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3823]),c_0_3556]) ).

cnf(c_0_3880,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3824]) ).

cnf(c_0_3881,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3825]) ).

cnf(c_0_3882,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3826]) ).

cnf(c_0_3883,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3827]),c_0_3722]) ).

cnf(c_0_3884,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3828]),c_0_3724]) ).

cnf(c_0_3885,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3829]) ).

cnf(c_0_3886,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3830]) ).

cnf(c_0_3887,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3831,c_0_3832]),c_0_3053]),c_0_3404]) ).

cnf(c_0_3888,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3833]),c_0_2501]) ).

cnf(c_0_3889,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3834,c_0_34]) ).

cnf(c_0_3890,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3834,c_0_31]) ).

cnf(c_0_3891,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3835]),c_0_3836]),c_0_3410]) ).

cnf(c_0_3892,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3837]),c_0_3838]),c_0_3410]) ).

cnf(c_0_3893,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3839]),c_0_3840]),c_0_3410]) ).

cnf(c_0_3894,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3841]) ).

cnf(c_0_3895,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3842]) ).

cnf(c_0_3896,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3843,c_0_31]) ).

cnf(c_0_3897,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3844,c_0_34]) ).

cnf(c_0_3898,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3845]) ).

cnf(c_0_3899,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3846]),c_0_3847]) ).

cnf(c_0_3900,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3794,c_0_34]) ).

cnf(c_0_3901,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3848]),c_0_3849]) ).

cnf(c_0_3902,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3850]),c_0_3746]) ).

cnf(c_0_3903,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3355,c_0_1507]),c_0_3851]),c_0_71]) ).

cnf(c_0_3904,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3852]),c_0_3513]) ).

cnf(c_0_3905,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3853]),c_0_2354]) ).

cnf(c_0_3906,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3854,c_0_3855]),c_0_2401]),c_0_3856]) ).

cnf(c_0_3907,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1978,c_0_34]) ).

cnf(c_0_3908,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3857]) ).

cnf(c_0_3909,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3858]) ).

cnf(c_0_3910,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3805,c_0_34]) ).

cnf(c_0_3911,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3859]) ).

cnf(c_0_3912,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3860]) ).

cnf(c_0_3913,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3861]),c_0_2629]) ).

cnf(c_0_3914,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3705,c_0_34]) ).

cnf(c_0_3915,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3809,c_0_34]) ).

cnf(c_0_3916,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3862]),c_0_3863]) ).

cnf(c_0_3917,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3759,c_0_34]) ).

cnf(c_0_3918,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3864]),c_0_3865]) ).

cnf(c_0_3919,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_2628]) ).

cnf(c_0_3920,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3712,c_0_34]) ).

cnf(c_0_3921,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3866,c_0_31]) ).

cnf(c_0_3922,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3867]),c_0_3625]) ).

cnf(c_0_3923,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3868]),c_0_3869]),c_0_3870]),c_0_3669]),c_0_3410]) ).

cnf(c_0_3924,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3716,c_0_34]) ).

cnf(c_0_3925,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3818,c_0_34]) ).

cnf(c_0_3926,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3871]),c_0_3589]) ).

cnf(c_0_3927,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3872,c_0_31]) ).

cnf(c_0_3928,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3873,c_0_34]) ).

cnf(c_0_3929,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3874]),c_0_3875]),c_0_3410]) ).

cnf(c_0_3930,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3822,c_0_34]) ).

cnf(c_0_3931,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3876]) ).

cnf(c_0_3932,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3877]) ).

cnf(c_0_3933,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3878]),c_0_3879]) ).

cnf(c_0_3934,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3880]) ).

cnf(c_0_3935,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_3881]),c_0_3882]) ).

cnf(c_0_3936,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3883]),c_0_3591]) ).

cnf(c_0_3937,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3884]),c_0_3593]) ).

cnf(c_0_3938,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_3885]) ).

cnf(c_0_3939,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3886]),c_0_3887]) ).

cnf(c_0_3940,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3888]),c_0_3053]) ).

cnf(c_0_3941,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3889]),c_0_3890]),c_0_3410]) ).

cnf(c_0_3942,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3891]),c_0_3892]) ).

cnf(c_0_3943,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3893]) ).

cnf(c_0_3944,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2981,c_0_34]) ).

cnf(c_0_3945,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3894,c_0_31]) ).

cnf(c_0_3946,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3790,c_0_34]) ).

cnf(c_0_3947,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3895,c_0_31]) ).

cnf(c_0_3948,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3896]),c_0_3897]) ).

cnf(c_0_3949,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3898,c_0_31]) ).

cnf(c_0_3950,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3899]),c_0_2962]) ).

cnf(c_0_3951,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3900]),c_0_3901]) ).

cnf(c_0_3952,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3902]),c_0_2963]) ).

cnf(c_0_3953,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3362,c_0_1666]),c_0_3903]) ).

cnf(c_0_3954,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3903]) ).

cnf(c_0_3955,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3904]),c_0_3905]) ).

cnf(c_0_3956,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3906,c_0_1472]) ).

cnf(c_0_3957,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3907]) ).

cnf(c_0_3958,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3908,c_0_31]) ).

cnf(c_0_3959,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3909,c_0_31]) ).

cnf(c_0_3960,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3910]) ).

cnf(c_0_3961,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3911,c_0_34]) ).

cnf(c_0_3962,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3911,c_0_31]) ).

cnf(c_0_3963,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3912,c_0_31]) ).

cnf(c_0_3964,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3913]),c_0_3863]) ).

cnf(c_0_3965,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3914]) ).

cnf(c_0_3966,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3915]),c_0_3916]) ).

cnf(c_0_3967,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3917]),c_0_3918]) ).

cnf(c_0_3968,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_3178]),c_0_3919]) ).

cnf(c_0_3969,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3303]) ).

cnf(c_0_3970,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_584,c_0_34]) ).

cnf(c_0_3971,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3920]) ).

cnf(c_0_3972,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3815,c_0_34]) ).

cnf(c_0_3973,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3866,c_0_34]) ).

cnf(c_0_3974,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3921]),c_0_3922]),c_0_3410]) ).

cnf(c_0_3975,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3923]) ).

cnf(c_0_3976,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3924]) ).

cnf(c_0_3977,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3925]),c_0_3926]) ).

cnf(c_0_3978,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3872,c_0_34]) ).

cnf(c_0_3979,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3927]),c_0_3928]),c_0_3410]) ).

cnf(c_0_3980,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3929]) ).

cnf(c_0_3981,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3930]) ).

cnf(c_0_3982,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3931,c_0_34]) ).

cnf(c_0_3983,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3931,c_0_31]) ).

cnf(c_0_3984,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3932,c_0_31]) ).

cnf(c_0_3985,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3933]),c_0_3556]) ).

cnf(c_0_3986,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3018,c_0_3934]),c_0_3935]) ).

cnf(c_0_3987,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3936]),c_0_2834]) ).

cnf(c_0_3988,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3937]),c_0_1866]) ).

cnf(c_0_3989,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3938,c_0_3939]) ).

cnf(c_0_3990,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3938,c_0_3940]),c_0_3053]),c_0_3404]) ).

cnf(c_0_3991,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3939]) ).

cnf(c_0_3992,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3940]) ).

cnf(c_0_3993,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3941]),c_0_3942]) ).

cnf(c_0_3994,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3943]) ).

cnf(c_0_3995,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_3944]) ).

cnf(c_0_3996,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3894,c_0_34]) ).

cnf(c_0_3997,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3945]),c_0_3228]) ).

cnf(c_0_3998,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3946]) ).

cnf(c_0_3999,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3895,c_0_34]) ).

cnf(c_0_4000,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3947]),c_0_3948]) ).

cnf(c_0_4001,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3843,c_0_34]) ).

cnf(c_0_4002,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3898,c_0_34]) ).

cnf(c_0_4003,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3949]),c_0_3950]) ).

cnf(c_0_4004,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3951]),c_0_3849]) ).

cnf(c_0_4005,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_3952]),c_0_2396]) ).

cnf(c_0_4006,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3953]) ).

cnf(c_0_4007,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3954,c_0_1572]),c_0_2489]),c_0_3371]),c_0_71]) ).

cnf(c_0_4008,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3955]),c_0_3956]) ).

cnf(c_0_4009,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3957,c_0_31]) ).

cnf(c_0_4010,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3958]) ).

cnf(c_0_4011,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3959]) ).

cnf(c_0_4012,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3960,c_0_31]) ).

cnf(c_0_4013,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3961]) ).

cnf(c_0_4014,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_3962]) ).

cnf(c_0_4015,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3806,c_0_34]) ).

cnf(c_0_4016,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3912,c_0_34]) ).

cnf(c_0_4017,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3963]),c_0_3964]) ).

cnf(c_0_4018,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3965,c_0_31]) ).

cnf(c_0_4019,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3966]),c_0_3863]) ).

cnf(c_0_4020,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3967]),c_0_2491]) ).

cnf(c_0_4021,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_3028]),c_0_3029]),c_0_142]) ).

cnf(c_0_4022,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2630,c_0_3028]),c_0_2632]),c_0_142]),c_0_91]) ).

cnf(c_0_4023,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3968,c_0_3969]),c_0_3286]),c_0_142]) ).

cnf(c_0_4024,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_3970]) ).

cnf(c_0_4025,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3971,c_0_31]) ).

cnf(c_0_4026,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3972]),c_0_3922]),c_0_3410]) ).

cnf(c_0_4027,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3973]),c_0_3974]),c_0_3975]),c_0_3870]),c_0_3669]),c_0_3410]) ).

cnf(c_0_4028,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_3976,c_0_31]) ).

cnf(c_0_4029,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_3977]),c_0_3589]) ).

cnf(c_0_4030,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3978]),c_0_3979]),c_0_3980]),c_0_3410]) ).

cnf(c_0_4031,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3981,c_0_34]) ).

cnf(c_0_4032,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_3981,c_0_31]) ).

cnf(c_0_4033,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3982]),c_0_3983]),c_0_3410]) ).

cnf(c_0_4034,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3932,c_0_34]) ).

cnf(c_0_4035,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_3984]),c_0_3985]) ).

cnf(c_0_4036,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_3986]),c_0_2955]) ).

cnf(c_0_4037,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3987]),c_0_3988]) ).

cnf(c_0_4038,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3989,c_0_3990]) ).

cnf(c_0_4039,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3991,c_0_3992]),c_0_3404]) ).

cnf(c_0_4040,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3993]) ).

cnf(c_0_4041,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3994,c_0_3789]),c_0_3644]),c_0_3410]) ).

cnf(c_0_4042,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3838]) ).

cnf(c_0_4043,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3995,c_0_31]) ).

cnf(c_0_4044,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3996]),c_0_3997]) ).

cnf(c_0_4045,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3998,c_0_34]) ).

cnf(c_0_4046,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_3998,c_0_31]) ).

cnf(c_0_4047,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_3999]),c_0_4000]) ).

cnf(c_0_4048,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4001]),c_0_3948]) ).

cnf(c_0_4049,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4002]),c_0_4003]) ).

cnf(c_0_4050,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4004]),c_0_2926]) ).

cnf(c_0_4051,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4005]) ).

cnf(c_0_4052,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4006,c_0_2968]),c_0_2352]),c_0_4007]) ).

cnf(c_0_4053,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4008]),c_0_3125]) ).

cnf(c_0_4054,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3957,c_0_34]) ).

cnf(c_0_4055,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4009]) ).

cnf(c_0_4056,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4010,c_0_31]) ).

cnf(c_0_4057,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4011,c_0_31]) ).

cnf(c_0_4058,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4012]) ).

cnf(c_0_4059,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4013,c_0_31]) ).

cnf(c_0_4060,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4014,c_0_34]) ).

cnf(c_0_4061,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4015]) ).

cnf(c_0_4062,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4016]),c_0_4017]) ).

cnf(c_0_4063,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3965,c_0_34]) ).

cnf(c_0_4064,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4018]),c_0_4019]) ).

cnf(c_0_4065,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4020]),c_0_3865]) ).

cnf(c_0_4066,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_4021]),c_0_71]),c_0_3062]) ).

cnf(c_0_4067,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4022,c_0_4021]),c_0_91]) ).

cnf(c_0_4068,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_4023]),c_0_71]) ).

cnf(c_0_4069,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_3293]) ).

cnf(c_0_4070,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4024,c_0_31]) ).

cnf(c_0_4071,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3971,c_0_34]) ).

cnf(c_0_4072,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4025]),c_0_4026]),c_0_3410]) ).

cnf(c_0_4073,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4027]) ).

cnf(c_0_4074,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3976,c_0_34]) ).

cnf(c_0_4075,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4028]),c_0_4029]),c_0_3410]) ).

cnf(c_0_4076,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4030]) ).

cnf(c_0_4077,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4031]),c_0_4032]),c_0_3410]) ).

cnf(c_0_4078,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4033]),c_0_3493]) ).

cnf(c_0_4079,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4034]),c_0_4035]),c_0_3410]) ).

cnf(c_0_4080,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4036,c_0_4037]) ).

cnf(c_0_4081,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4038]),c_0_3230]) ).

cnf(c_0_4082,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4039]),c_0_3230]) ).

cnf(c_0_4083,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3736,c_0_31]) ).

cnf(c_0_4084,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4040]),c_0_4041]) ).

cnf(c_0_4085,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4042]) ).

cnf(c_0_4086,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3942]) ).

cnf(c_0_4087,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4043]) ).

cnf(c_0_4088,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4044]),c_0_3228]) ).

cnf(c_0_4089,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4045]),c_0_4046]) ).

cnf(c_0_4090,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4047]),c_0_4048]) ).

cnf(c_0_4091,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4049]),c_0_3950]) ).

cnf(c_0_4092,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4050]),c_0_2894]) ).

cnf(c_0_4093,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4051]),c_0_4052]),c_0_4053]) ).

cnf(c_0_4094,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4054]) ).

cnf(c_0_4095,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4055,c_0_34]) ).

cnf(c_0_4096,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4055,c_0_31]) ).

cnf(c_0_4097,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3908,c_0_34]) ).

cnf(c_0_4098,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4010,c_0_34]) ).

cnf(c_0_4099,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4056]),c_0_3865]) ).

cnf(c_0_4100,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3909,c_0_34]) ).

cnf(c_0_4101,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4011,c_0_34]) ).

cnf(c_0_4102,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4057]),c_0_3813]) ).

cnf(c_0_4103,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3960,c_0_34]) ).

cnf(c_0_4104,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4058,c_0_31]) ).

cnf(c_0_4105,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4059]),c_0_4060]) ).

cnf(c_0_4106,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4061,c_0_31]) ).

cnf(c_0_4107,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4062]),c_0_3964]) ).

cnf(c_0_4108,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4063]),c_0_4064]) ).

cnf(c_0_4109,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4065]) ).

cnf(c_0_4110,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3865]) ).

cnf(c_0_4111,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3964]) ).

cnf(c_0_4112,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2635,c_0_3028]),c_0_3029]),c_0_142]),c_0_4066]),c_0_4067]) ).

cnf(c_0_4113,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4068,c_0_2397]),c_0_142]),c_0_71]) ).

cnf(c_0_4114,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4069,c_0_2410]),c_0_2589]) ).

cnf(c_0_4115,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(X2))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(X2)))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4070]) ).

cnf(c_0_4116,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4071]),c_0_4072]),c_0_4073]),c_0_3410]) ).

cnf(c_0_4117,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4074]),c_0_4075]),c_0_3410]) ).

cnf(c_0_4118,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4076]) ).

cnf(c_0_4119,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3873,c_0_31]) ).

cnf(c_0_4120,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3979]) ).

cnf(c_0_4121,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4075]) ).

cnf(c_0_4122,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4077]),c_0_4078]) ).

cnf(c_0_4123,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4079]) ).

cnf(c_0_4124,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4041]) ).

cnf(c_0_4125,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4080,c_0_1866]) ).

cnf(c_0_4126,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4037]) ).

cnf(c_0_4127,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4081,c_0_2835]),c_0_3230]),c_0_4082]),c_0_3404]) ).

cnf(c_0_4128,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4083]),c_0_3690]) ).

cnf(c_0_4129,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4084,c_0_4085]),c_0_4041]) ).

cnf(c_0_4130,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4086]),c_0_4041]) ).

cnf(c_0_4131,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4087,c_0_31]) ).

cnf(c_0_4132,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4088]),c_0_2983]) ).

cnf(c_0_4133,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4089]),c_0_4090]) ).

cnf(c_0_4134,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4091]),c_0_2962]) ).

cnf(c_0_4135,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4092]),c_0_4093]) ).

cnf(c_0_4136,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4003]) ).

cnf(c_0_4137,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4094,c_0_31]) ).

cnf(c_0_4138,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4095]) ).

cnf(c_0_4139,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4096]) ).

cnf(c_0_4140,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4097]) ).

cnf(c_0_4141,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4098]),c_0_4099]) ).

cnf(c_0_4142,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4100]) ).

cnf(c_0_4143,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4101]),c_0_4102]) ).

cnf(c_0_4144,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4103]) ).

cnf(c_0_4145,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4058,c_0_34]) ).

cnf(c_0_4146,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4104]),c_0_4105]) ).

cnf(c_0_4147,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4013,c_0_34]) ).

cnf(c_0_4148,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4061,c_0_34]) ).

cnf(c_0_4149,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4106]),c_0_4107]) ).

cnf(c_0_4150,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4108]),c_0_4019]) ).

cnf(c_0_4151,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4109]) ).

cnf(c_0_4152,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4110]) ).

cnf(c_0_4153,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4111]),c_0_4112]) ).

cnf(c_0_4154,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4113,c_0_4114]),c_0_91]) ).

cnf(c_0_4155,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4115,c_0_31]) ).

cnf(c_0_4156,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4116]) ).

cnf(c_0_4157,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4117]),c_0_4118]) ).

cnf(c_0_4158,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4119]),c_0_3926]) ).

cnf(c_0_4159,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4120]),c_0_4121]) ).

cnf(c_0_4160,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4122]),c_0_3493]) ).

cnf(c_0_4161,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4123]) ).

cnf(c_0_4162,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4124]) ).

cnf(c_0_4163,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4125]),c_0_3230]) ).

cnf(c_0_4164,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4126]),c_0_4127]) ).

cnf(c_0_4165,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4084,c_0_4128]),c_0_4129]),c_0_4130]),c_0_3410]) ).

cnf(c_0_4166,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3995,c_0_34]) ).

cnf(c_0_4167,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4087,c_0_34]) ).

cnf(c_0_4168,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4131]),c_0_4132]) ).

cnf(c_0_4169,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4133]) ).

cnf(c_0_4170,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4134]),c_0_4135]) ).

cnf(c_0_4171,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_3948]) ).

cnf(c_0_4172,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4136]),c_0_2962]) ).

cnf(c_0_4173,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4094,c_0_34]) ).

cnf(c_0_4174,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4137]) ).

cnf(c_0_4175,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4138,c_0_31]) ).

cnf(c_0_4176,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4139,c_0_34]) ).

cnf(c_0_4177,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4140,c_0_31]) ).

cnf(c_0_4178,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4141]),c_0_3865]) ).

cnf(c_0_4179,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4142,c_0_31]) ).

cnf(c_0_4180,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4143]),c_0_3813]) ).

cnf(c_0_4181,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4144,c_0_34]) ).

cnf(c_0_4182,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4144,c_0_31]) ).

cnf(c_0_4183,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4145]),c_0_4146]) ).

cnf(c_0_4184,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4147]),c_0_4105]) ).

cnf(c_0_4185,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4148]),c_0_4149]) ).

cnf(c_0_4186,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4150]),c_0_3863]) ).

cnf(c_0_4187,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4151]) ).

cnf(c_0_4188,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4152]),c_0_4153]) ).

cnf(c_0_4189,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4154]) ).

cnf(c_0_4190,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_3854,c_0_4093]) ).

cnf(c_0_4191,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_4155]),c_0_3272]) ).

cnf(c_0_4192,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4072]) ).

cnf(c_0_4193,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4156]) ).

cnf(c_0_4194,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3974]) ).

cnf(c_0_4195,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4157]) ).

cnf(c_0_4196,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4158]) ).

cnf(c_0_4197,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4159]) ).

cnf(c_0_4198,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4160]),c_0_4027]) ).

cnf(c_0_4199,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4161,c_0_3985]),c_0_3556]),c_0_3410]) ).

cnf(c_0_4200,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4162]) ).

cnf(c_0_4201,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4163,c_0_1666]),c_0_4164]) ).

cnf(c_0_4202,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4165]) ).

cnf(c_0_4203,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4166]) ).

cnf(c_0_4204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4167]),c_0_4168]) ).

cnf(c_0_4205,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_3844,c_0_31]) ).

cnf(c_0_4206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4169]),c_0_4170]) ).

cnf(c_0_4207,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4171]),c_0_4172]) ).

cnf(c_0_4208,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4090]) ).

cnf(c_0_4209,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4173]) ).

cnf(c_0_4210,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4174,c_0_34]) ).

cnf(c_0_4211,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4174,c_0_31]) ).

cnf(c_0_4212,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4138,c_0_34]) ).

cnf(c_0_4213,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4175]),c_0_4176]) ).

cnf(c_0_4214,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4140,c_0_34]) ).

cnf(c_0_4215,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4177]),c_0_4178]) ).

cnf(c_0_4216,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4142,c_0_34]) ).

cnf(c_0_4217,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4179]),c_0_4180]) ).

cnf(c_0_4218,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4181]),c_0_4182]) ).

cnf(c_0_4219,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4183]),c_0_4184]) ).

cnf(c_0_4220,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4185]),c_0_4107]) ).

cnf(c_0_4221,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4186]),c_0_3615]) ).

cnf(c_0_4222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3307,c_0_4187]),c_0_4188]) ).

cnf(c_0_4223,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3803,c_0_4189]),c_0_4053]),c_0_4190]),c_0_71]) ).

cnf(c_0_4224,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4115,c_0_34]) ).

cnf(c_0_4225,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4191,c_0_34]) ).

cnf(c_0_4226,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3119,c_0_34]) ).

cnf(c_0_4227,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4192]) ).

cnf(c_0_4228,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4193,c_0_4194]) ).

cnf(c_0_4229,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4195,c_0_4196]),c_0_4197]),c_0_3410]) ).

cnf(c_0_4230,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4198]) ).

cnf(c_0_4231,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4199]) ).

cnf(c_0_4232,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4200,c_0_4037]),c_0_4201]),c_0_3410]) ).

cnf(c_0_4233,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4202]) ).

cnf(c_0_4234,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4203,c_0_31]) ).

cnf(c_0_4235,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4204]),c_0_4132]) ).

cnf(c_0_4236,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4205]),c_0_3950]) ).

cnf(c_0_4237,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4206,c_0_4207]) ).

cnf(c_0_4238,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4208]),c_0_4170]) ).

cnf(c_0_4239,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4209,c_0_34]) ).

cnf(c_0_4240,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4209,c_0_31]) ).

cnf(c_0_4241,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4210]),c_0_4211]) ).

cnf(c_0_4242,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4212]),c_0_4213]) ).

cnf(c_0_4243,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4214]),c_0_4215]) ).

cnf(c_0_4244,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4216]),c_0_4217]) ).

cnf(c_0_4245,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4218]),c_0_4219]) ).

cnf(c_0_4246,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4220]),c_0_3964]) ).

cnf(c_0_4247,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4221]),c_0_3364]) ).

cnf(c_0_4248,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4149]) ).

cnf(c_0_4249,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4222,c_0_3252]) ).

cnf(c_0_4250,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4223,c_0_3252]) ).

cnf(c_0_4251,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4224]) ).

cnf(c_0_4252,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4225]) ).

cnf(c_0_4253,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4226]) ).

cnf(c_0_4254,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4227]),c_0_4197]) ).

cnf(c_0_4255,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4228]),c_0_4229]) ).

cnf(c_0_4256,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4230]) ).

cnf(c_0_4257,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4229]) ).

cnf(c_0_4258,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4231]),c_0_4232]) ).

cnf(c_0_4259,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4233,c_0_4037]),c_0_4201]),c_0_3410]) ).

cnf(c_0_4260,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4203,c_0_34]) ).

cnf(c_0_4261,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4234]),c_0_4235]) ).

cnf(c_0_4262,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4206,c_0_4236]),c_0_4237]),c_0_4238]) ).

cnf(c_0_4263,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4239]),c_0_4240]) ).

cnf(c_0_4264,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4241]),c_0_4242]) ).

cnf(c_0_4265,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4243]),c_0_4178]) ).

cnf(c_0_4266,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4244]),c_0_4180]) ).

cnf(c_0_4267,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4245]) ).

cnf(c_0_4268,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4246]),c_0_4247]) ).

cnf(c_0_4269,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4105]) ).

cnf(c_0_4270,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4248]),c_0_3964]) ).

cnf(c_0_4271,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_4187]),c_0_4188]),c_0_4249]) ).

cnf(c_0_4272,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1383,c_0_4187]),c_0_4188]),c_0_4250]) ).

cnf(c_0_4273,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4024,c_0_34]) ).

cnf(c_0_4274,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4251,c_0_31]) ).

cnf(c_0_4275,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4191,c_0_31]),c_0_4252]) ).

cnf(c_0_4276,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3048,c_0_34]) ).

cnf(c_0_4277,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4253,c_0_31]) ).

cnf(c_0_4278,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4254,c_0_4255]) ).

cnf(c_0_4279,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4073]) ).

cnf(c_0_4280,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4256,c_0_3772]),c_0_3589]),c_0_3410]) ).

cnf(c_0_4281,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4257,c_0_3825]),c_0_4258]),c_0_3410]) ).

cnf(c_0_4282,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4259]),c_0_4127]) ).

cnf(c_0_4283,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4260]),c_0_4261]) ).

cnf(c_0_4284,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4262]),c_0_4135]) ).

cnf(c_0_4285,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4263]),c_0_4264]) ).

cnf(c_0_4286,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4265]),c_0_3865]) ).

cnf(c_0_4287,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4266]),c_0_3813]) ).

cnf(c_0_4288,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4215]) ).

cnf(c_0_4289,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4014,c_0_31]) ).

cnf(c_0_4290,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4267]),c_0_4268]) ).

cnf(c_0_4291,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4269]),c_0_4270]) ).

cnf(c_0_4292,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4219]) ).

cnf(c_0_4293,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_4271]),c_0_4272]) ).

cnf(c_0_4294,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2667,c_0_3613]),c_0_3513]),c_0_228]),c_0_142]) ).

cnf(c_0_4295,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4135]) ).

cnf(c_0_4296,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4273]) ).

cnf(c_0_4297,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4251,c_0_34]) ).

cnf(c_0_4298,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4274]),c_0_4275]) ).

cnf(c_0_4299,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4276]) ).

cnf(c_0_4300,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4253,c_0_34]) ).

cnf(c_0_4301,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4277]),c_0_3292]) ).

cnf(c_0_4302,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_3718,c_0_34]) ).

cnf(c_0_4303,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4256,c_0_4278]),c_0_4279]) ).

cnf(c_0_4304,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4280]) ).

cnf(c_0_4305,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4281]),c_0_4282]) ).

cnf(c_0_4306,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3591]) ).

cnf(c_0_4307,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3593]) ).

cnf(c_0_4308,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4283]),c_0_4235]) ).

cnf(c_0_4309,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4284]),c_0_4093]) ).

cnf(c_0_4310,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4285]) ).

cnf(c_0_4311,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4286]),c_0_4287]) ).

cnf(c_0_4312,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4213]) ).

cnf(c_0_4313,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4288]),c_0_3865]) ).

cnf(c_0_4314,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4289]),c_0_4107]) ).

cnf(c_0_4315,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4290,c_0_4291]) ).

cnf(c_0_4316,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4292]),c_0_4268]) ).

cnf(c_0_4317,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4293,c_0_4247]),c_0_4112]) ).

cnf(c_0_4318,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4112,c_0_2396]),c_0_142]),c_0_4294]) ).

cnf(c_0_4319,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4247]) ).

cnf(c_0_4320,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4295]),c_0_4053]) ).

cnf(c_0_4321,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3013,c_0_34]) ).

cnf(c_0_4322,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3086,c_0_34]) ).

cnf(c_0_4323,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4296,c_0_31]) ).

cnf(c_0_4324,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4297]),c_0_4298]) ).

cnf(c_0_4325,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4299,c_0_31]) ).

cnf(c_0_4326,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4300]),c_0_4301]) ).

cnf(c_0_4327,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4302]) ).

cnf(c_0_4328,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4279,c_0_4280]),c_0_4303]) ).

cnf(c_0_4329,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4303,c_0_4304]),c_0_4305]) ).

cnf(c_0_4330,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_3556]) ).

cnf(c_0_4331,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4306]),c_0_4307]) ).

cnf(c_0_4332,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4308]),c_0_4132]) ).

cnf(c_0_4333,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4127]) ).

cnf(c_0_4334,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4309]),c_0_4053]) ).

cnf(c_0_4335,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4139,c_0_31]) ).

cnf(c_0_4336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4310]),c_0_4311]) ).

cnf(c_0_4337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4312]),c_0_4313]) ).

cnf(c_0_4338,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4264]) ).

cnf(c_0_4339,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4290,c_0_4314]),c_0_4315]),c_0_4316]) ).

cnf(c_0_4340,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4317,c_0_1271]),c_0_4318]) ).

cnf(c_0_4341,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4319]),c_0_4320]) ).

cnf(c_0_4342,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4321]) ).

cnf(c_0_4343,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4322]) ).

cnf(c_0_4344,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4323]) ).

cnf(c_0_4345,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4324]),c_0_4275]) ).

cnf(c_0_4346,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4325]) ).

cnf(c_0_4347,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4326]),c_0_3292]) ).

cnf(c_0_4348,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1884,c_0_34]) ).

cnf(c_0_4349,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4327,c_0_34]) ).

cnf(c_0_4350,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4327,c_0_31]) ).

cnf(c_0_4351,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4328]),c_0_4282]) ).

cnf(c_0_4352,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_2686]) ).

cnf(c_0_4353,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4329]),c_0_4282]) ).

cnf(c_0_4354,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4330]),c_0_4331]) ).

cnf(c_0_4355,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4332]),c_0_3293]) ).

cnf(c_0_4356,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4333]) ).

cnf(c_0_4357,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4334]),c_0_3398]) ).

cnf(c_0_4358,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4335]),c_0_4178]) ).

cnf(c_0_4359,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4336,c_0_4337]) ).

cnf(c_0_4360,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4338]),c_0_4311]) ).

cnf(c_0_4361,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4339]),c_0_4247]) ).

cnf(c_0_4362,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4340,c_0_1507]),c_0_4341]) ).

cnf(c_0_4363,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2903,c_0_34]) ).

cnf(c_0_4364,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4342,c_0_31]) ).

cnf(c_0_4365,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4343,c_0_31]) ).

cnf(c_0_4366,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4344,c_0_31]) ).

cnf(c_0_4367,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4345]),c_0_1186]) ).

cnf(c_0_4368,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4346,c_0_31]) ).

cnf(c_0_4369,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4347]),c_0_4132]) ).

cnf(c_0_4370,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_4348]) ).

cnf(c_0_4371,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_1545,c_0_34]) ).

cnf(c_0_4372,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4349]),c_0_4350]),c_0_3410]) ).

cnf(c_0_4373,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4351,c_0_4352]),c_0_4353]),c_0_3410]) ).

cnf(c_0_4374,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4351,c_0_4354]),c_0_3410]) ).

cnf(c_0_4375,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4093]),c_0_2546]) ).

cnf(c_0_4376,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4355]),c_0_3051]),c_0_2744]) ).

cnf(c_0_4377,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4356]),c_0_4114]) ).

cnf(c_0_4378,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4357]) ).

cnf(c_0_4379,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_3892]) ).

cnf(c_0_4380,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4336,c_0_4358]),c_0_4359]),c_0_4360]) ).

cnf(c_0_4381,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4361]),c_0_4362]) ).

cnf(c_0_4382,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4287]) ).

cnf(c_0_4383,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X2)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4363]) ).

cnf(c_0_4384,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4364]) ).

cnf(c_0_4385,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4343,c_0_34]) ).

cnf(c_0_4386,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4365]),c_0_4275]) ).

cnf(c_0_4387,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4296,c_0_34]) ).

cnf(c_0_4388,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4344,c_0_34]) ).

cnf(c_0_4389,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4366]),c_0_4367]) ).

cnf(c_0_4390,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4299,c_0_34]) ).

cnf(c_0_4391,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4346,c_0_34]) ).

cnf(c_0_4392,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4368]),c_0_4369]) ).

cnf(c_0_4393,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4370,c_0_31]) ).

cnf(c_0_4394,plain,
    ( 'LE'(f(X1),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_4371]) ).

cnf(c_0_4395,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4372]),c_0_4030]) ).

cnf(c_0_4396,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4351,c_0_1726]),c_0_4373]),c_0_4374]),c_0_4353]),c_0_3410]) ).

cnf(c_0_4397,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_4375]) ).

cnf(c_0_4398,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4376]) ).

cnf(c_0_4399,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4377]) ).

cnf(c_0_4400,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4378]) ).

cnf(c_0_4401,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4379]),c_0_4041]) ).

cnf(c_0_4402,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4380]) ).

cnf(c_0_4403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4381]),c_0_4357]) ).

cnf(c_0_4404,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4382]),c_0_4247]) ).

cnf(c_0_4405,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4383,c_0_31]) ).

cnf(c_0_4406,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4342,c_0_34]) ).

cnf(c_0_4407,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4384,c_0_31]) ).

cnf(c_0_4408,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4385]),c_0_4386]) ).

cnf(c_0_4409,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4387]) ).

cnf(c_0_4410,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4388]),c_0_4389]) ).

cnf(c_0_4411,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4390]) ).

cnf(c_0_4412,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4391]),c_0_4392]) ).

cnf(c_0_4413,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4393]) ).

cnf(c_0_4414,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4394,c_0_31]) ).

cnf(c_0_4415,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1592,c_0_34]) ).

cnf(c_0_4416,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4395]) ).

cnf(c_0_4417,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4396]) ).

cnf(c_0_4418,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4397]) ).

cnf(c_0_4419,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_4398]) ).

cnf(c_0_4420,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4399,c_0_4400]) ).

cnf(c_0_4421,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4401]) ).

cnf(c_0_4422,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4128]) ).

cnf(c_0_4423,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4402]),c_0_4403]) ).

cnf(c_0_4424,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4404]),c_0_3700]) ).

cnf(c_0_4425,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4405]) ).

cnf(c_0_4426,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4406]) ).

cnf(c_0_4427,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4384,c_0_34]) ).

cnf(c_0_4428,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4407]),c_0_4386]) ).

cnf(c_0_4429,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4408]),c_0_4275]) ).

cnf(c_0_4430,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4409,c_0_31]) ).

cnf(c_0_4431,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4410]),c_0_4367]) ).

cnf(c_0_4432,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4411,c_0_31]) ).

cnf(c_0_4433,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4412]),c_0_4369]) ).

cnf(c_0_4434,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4413,c_0_34]) ).

cnf(c_0_4435,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_4414]) ).

cnf(c_0_4436,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_4415]) ).

cnf(c_0_4437,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4400]) ).

cnf(c_0_4438,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4416]) ).

cnf(c_0_4439,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4417,c_0_34]) ).

cnf(c_0_4440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3122]) ).

cnf(c_0_4441,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4418]) ).

cnf(c_0_4442,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4419]),c_0_4420]) ).

cnf(c_0_4443,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4085]) ).

cnf(c_0_4444,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4421,c_0_4422]),c_0_3410]) ).

cnf(c_0_4445,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4423]),c_0_4424]) ).

cnf(c_0_4446,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4383,c_0_34]) ).

cnf(c_0_4447,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4425,c_0_31]) ).

cnf(c_0_4448,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4426,c_0_34]) ).

cnf(c_0_4449,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4426,c_0_31]) ).

cnf(c_0_4450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4427]),c_0_4428]) ).

cnf(c_0_4451,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4429]),c_0_4367]) ).

cnf(c_0_4452,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4409,c_0_34]) ).

cnf(c_0_4453,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4430]),c_0_4431]) ).

cnf(c_0_4454,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4411,c_0_34]) ).

cnf(c_0_4455,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4432]),c_0_4433]) ).

cnf(c_0_4456,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1977,c_0_34]) ).

cnf(c_0_4457,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4434]) ).

cnf(c_0_4458,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4435,c_0_31]) ).

cnf(c_0_4459,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4436,c_0_31]) ).

cnf(c_0_4460,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4437,c_0_1301]),c_0_71]),c_0_54]) ).

cnf(c_0_4461,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4437,c_0_3370]),c_0_71]),c_0_54]) ).

cnf(c_0_4462,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4438,c_0_4158]),c_0_4029]),c_0_4351]),c_0_3410]) ).

cnf(c_0_4463,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4438,c_0_4159]) ).

cnf(c_0_4464,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'('0',f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4439]) ).

cnf(c_0_4465,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4440]),c_0_4441]) ).

cnf(c_0_4466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_3669]) ).

cnf(c_0_4467,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4442]) ).

cnf(c_0_4468,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4443,c_0_4444]),c_0_4041]) ).

cnf(c_0_4469,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4445]),c_0_4357]) ).

cnf(c_0_4470,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4403]) ).

cnf(c_0_4471,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4446]) ).

cnf(c_0_4472,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4425,c_0_34]) ).

cnf(c_0_4473,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4447]),c_0_3183]) ).

cnf(c_0_4474,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4448]),c_0_4449]) ).

cnf(c_0_4475,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4450]),c_0_4451]) ).

cnf(c_0_4476,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4452]),c_0_4453]) ).

cnf(c_0_4477,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4454]),c_0_4455]) ).

cnf(c_0_4478,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4456]) ).

cnf(c_0_4479,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2092,c_0_34]) ).

cnf(c_0_4480,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4413,c_0_31]) ).

cnf(c_0_4481,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4457,c_0_31]) ).

cnf(c_0_4482,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4458]) ).

cnf(c_0_4483,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4459]) ).

cnf(c_0_4484,plain,
    ( 'LE'(f(g(g(X1))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4437,c_0_162]),c_0_4460]),c_0_4461]),c_0_71]),c_0_54]) ).

cnf(c_0_4485,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4118,c_0_4462]),c_0_4463]),c_0_4351]) ).

cnf(c_0_4486,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4417,c_0_31]),c_0_4464]) ).

cnf(c_0_4487,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4465,c_0_4466]),c_0_4467]),c_0_142]) ).

cnf(c_0_4488,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4467,c_0_4468]),c_0_2889]),c_0_228]),c_0_142]) ).

cnf(c_0_4489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4469,c_0_4073]),c_0_4378]),c_0_4470]) ).

cnf(c_0_4490,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2638,c_0_1554]),c_0_1381]),c_0_228]),c_0_142]),c_0_91]) ).

cnf(c_0_4491,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_3389,c_0_4357]) ).

cnf(c_0_4492,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4471,c_0_34]) ).

cnf(c_0_4493,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4471,c_0_31]) ).

cnf(c_0_4494,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4472]),c_0_4473]) ).

cnf(c_0_4495,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4474]),c_0_4475]) ).

cnf(c_0_4496,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4476]),c_0_4431]) ).

cnf(c_0_4497,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4477]),c_0_4433]) ).

cnf(c_0_4498,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4478,c_0_31]) ).

cnf(c_0_4499,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4479]) ).

cnf(c_0_4500,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4480]) ).

cnf(c_0_4501,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4481]) ).

cnf(c_0_4502,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4482,c_0_31]) ).

cnf(c_0_4503,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4483,c_0_31]) ).

cnf(c_0_4504,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4484]) ).

cnf(c_0_4505,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4485]),c_0_4486]) ).

cnf(c_0_4506,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4487,c_0_4229]),c_0_142]),c_0_4488]) ).

cnf(c_0_4507,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4489]),c_0_91]) ).

cnf(c_0_4508,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4278]) ).

cnf(c_0_4509,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4490,c_0_4470]),c_0_4357]),c_0_4491]) ).

cnf(c_0_4510,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4492]),c_0_4493]) ).

cnf(c_0_4511,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4494]),c_0_3183]) ).

cnf(c_0_4512,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4495]),c_0_4451]) ).

cnf(c_0_4513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4496]),c_0_4367]) ).

cnf(c_0_4514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4497]),c_0_4369]) ).

cnf(c_0_4515,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4498]) ).

cnf(c_0_4516,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4499,c_0_31]) ).

cnf(c_0_4517,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4457,c_0_34]) ).

cnf(c_0_4518,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4500,c_0_34]) ).

cnf(c_0_4519,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4501,c_0_34]) ).

cnf(c_0_4520,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4501,c_0_31]) ).

cnf(c_0_4521,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4502]) ).

cnf(c_0_4522,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4503]) ).

cnf(c_0_4523,plain,
    ( 'LE'(f(g(g(g(X1)))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4504,c_0_34]) ).

cnf(c_0_4524,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4505,c_0_4280]) ).

cnf(c_0_4525,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4506,c_0_4489]),c_0_4357]) ).

cnf(c_0_4526,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4507,c_0_4508]),c_0_3125]),c_0_4378]),c_0_4509]) ).

cnf(c_0_4527,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4510]),c_0_4511]) ).

cnf(c_0_4528,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4512]),c_0_4513]) ).

cnf(c_0_4529,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4514]),c_0_4376]) ).

cnf(c_0_4530,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4515,c_0_31]) ).

cnf(c_0_4531,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4516]) ).

cnf(c_0_4532,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4517]) ).

cnf(c_0_4533,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4518]) ).

cnf(c_0_4534,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4519]),c_0_4520]) ).

cnf(c_0_4535,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4521,c_0_31]) ).

cnf(c_0_4536,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4522,c_0_31]) ).

cnf(c_0_4537,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(g(X2)))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(X2))),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4523]) ).

cnf(c_0_4538,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4505,c_0_4508]),c_0_4524]),c_0_4486]) ).

cnf(c_0_4539,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4525,c_0_4199]),c_0_4526]),c_0_4378]),c_0_4509]) ).

cnf(c_0_4540,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4507,c_0_4280]),c_0_3125]),c_0_4378]) ).

cnf(c_0_4541,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4527]),c_0_3183]) ).

cnf(c_0_4542,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4528]) ).

cnf(c_0_4543,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4529]),c_0_3293]) ).

cnf(c_0_4544,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4500,c_0_31]) ).

cnf(c_0_4545,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4530]) ).

cnf(c_0_4546,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4531,c_0_31]) ).

cnf(c_0_4547,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4532,c_0_34]) ).

cnf(c_0_4548,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4532,c_0_31]) ).

cnf(c_0_4549,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4533,c_0_34]) ).

cnf(c_0_4550,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4533,c_0_31]) ).

cnf(c_0_4551,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4534]) ).

cnf(c_0_4552,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4535]),c_0_4536]) ).

cnf(c_0_4553,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4537,c_0_31]) ).

cnf(c_0_4554,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4538]),c_0_4282]) ).

cnf(c_0_4555,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4539,c_0_4540]) ).

cnf(c_0_4556,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4541]) ).

cnf(c_0_4557,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4542]),c_0_4543]) ).

cnf(c_0_4558,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4282]) ).

cnf(c_0_4559,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4478,c_0_34]) ).

cnf(c_0_4560,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4544]) ).

cnf(c_0_4561,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4545,c_0_31]) ).

cnf(c_0_4562,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4546]),c_0_4065]) ).

cnf(c_0_4563,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4547]),c_0_4548]) ).

cnf(c_0_4564,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4549]),c_0_4550]),c_0_4551]) ).

cnf(c_0_4565,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1635,c_0_34]) ).

cnf(c_0_4566,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4552]) ).

cnf(c_0_4567,plain,
    ( 'LE'(f(g(g(g(g(X1))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4537,c_0_34]) ).

cnf(c_0_4568,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4553]) ).

cnf(c_0_4569,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4554]) ).

cnf(c_0_4570,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4555]),c_0_4282]) ).

cnf(c_0_4571,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4556]),c_0_4557]) ).

cnf(c_0_4572,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4558]) ).

cnf(c_0_4573,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4559]) ).

cnf(c_0_4574,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4560,c_0_31]) ).

cnf(c_0_4575,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4561]),c_0_4562]) ).

cnf(c_0_4576,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4563]),c_0_4564]) ).

cnf(c_0_4577,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4565]) ).

cnf(c_0_4578,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4566,c_0_34]) ).

cnf(c_0_4579,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(X1)))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4567]) ).

cnf(c_0_4580,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4568,c_0_34]) ).

cnf(c_0_4581,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4568,c_0_31]) ).

cnf(c_0_4582,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4250,c_0_2401]) ).

cnf(c_0_4583,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4370,c_0_34]) ).

cnf(c_0_4584,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4569]) ).

cnf(c_0_4585,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4570]) ).

cnf(c_0_4586,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4571]),c_0_4572]) ).

cnf(c_0_4587,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4573,c_0_34]) ).

cnf(c_0_4588,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4560,c_0_34]) ).

cnf(c_0_4589,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4574]),c_0_4575]) ).

cnf(c_0_4590,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4564]) ).

cnf(c_0_4591,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4576]) ).

cnf(c_0_4592,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4577,c_0_31]) ).

cnf(c_0_4593,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4578]) ).

cnf(c_0_4594,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4579,c_0_31]) ).

cnf(c_0_4595,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4580]),c_0_4581]) ).

cnf(c_0_4596,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_4582]) ).

cnf(c_0_4597,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4583]) ).

cnf(c_0_4598,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4584]),c_0_4377]) ).

cnf(c_0_4599,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4585]),c_0_3395]) ).

cnf(c_0_4600,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4586]),c_0_1296]) ).

cnf(c_0_4601,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4587]) ).

cnf(c_0_4602,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4588]),c_0_4589]),c_0_4590]),c_0_4591]) ).

cnf(c_0_4603,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4592]) ).

cnf(c_0_4604,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4566,c_0_31]),c_0_4593]) ).

cnf(c_0_4605,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4579,c_0_34]) ).

cnf(c_0_4606,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4594]),c_0_4595]) ).

cnf(c_0_4607,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4596,c_0_731]),c_0_4397]) ).

cnf(c_0_4608,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4597,c_0_34]) ).

cnf(c_0_4609,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4598,c_0_4599]),c_0_91]) ).

cnf(c_0_4610,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4600]) ).

cnf(c_0_4611,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4573,c_0_31]) ).

cnf(c_0_4612,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4601,c_0_34]) ).

cnf(c_0_4613,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4601,c_0_31]) ).

cnf(c_0_4614,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4602]) ).

cnf(c_0_4615,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4603,c_0_31]) ).

cnf(c_0_4616,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4604]) ).

cnf(c_0_4617,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4605]),c_0_4606]) ).

cnf(c_0_4618,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4272,c_0_4247]),c_0_4112]) ).

cnf(c_0_4619,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3367,c_0_4607]),c_0_91]) ).

cnf(c_0_4620,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4608]) ).

cnf(c_0_4621,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4609,c_0_4610]) ).

cnf(c_0_4622,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4499,c_0_34]) ).

cnf(c_0_4623,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4531,c_0_34]) ).

cnf(c_0_4624,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4515,c_0_34]) ).

cnf(c_0_4625,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4611]) ).

cnf(c_0_4626,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4612]),c_0_4613]),c_0_4614]) ).

cnf(c_0_4627,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_4615]),c_0_4616]) ).

cnf(c_0_4628,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4617]),c_0_4595]) ).

cnf(c_0_4629,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4618,c_0_1271]),c_0_4318]),c_0_4619]) ).

cnf(c_0_4630,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4620,c_0_34]) ).

cnf(c_0_4631,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4620,c_0_31]) ).

cnf(c_0_4632,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4621,c_0_4282]),c_0_3410]) ).

cnf(c_0_4633,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4597,c_0_31]) ).

cnf(c_0_4634,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4622]) ).

cnf(c_0_4635,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4623]),c_0_4562]) ).

cnf(c_0_4636,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4624]) ).

cnf(c_0_4637,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4625,c_0_34]) ).

cnf(c_0_4638,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4625,c_0_31]) ).

cnf(c_0_4639,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4626]) ).

cnf(c_0_4640,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1676,c_0_34]) ).

cnf(c_0_4641,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4627,c_0_34]) ).

cnf(c_0_4642,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4627,c_0_31]) ).

cnf(c_0_4643,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4504,c_0_31]) ).

cnf(c_0_4644,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4628]) ).

cnf(c_0_4645,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4629,c_0_487]),c_0_3376]) ).

cnf(c_0_4646,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4630]) ).

cnf(c_0_4647,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4631]) ).

cnf(c_0_4648,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4632,c_0_3230]),c_0_4569]) ).

cnf(c_0_4649,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4633]) ).

cnf(c_0_4650,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4634,c_0_31]) ).

cnf(c_0_4651,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4635]),c_0_4065]) ).

cnf(c_0_4652,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4636,c_0_31]) ).

cnf(c_0_4653,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4545,c_0_34]) ).

cnf(c_0_4654,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4637]),c_0_4638]),c_0_4639]),c_0_4614]) ).

cnf(c_0_4655,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4640]) ).

cnf(c_0_4656,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4641]),c_0_4642]) ).

cnf(c_0_4657,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3012,c_0_34]) ).

cnf(c_0_4658,plain,
    ( 'LE'(f(g(g(X1))),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4643]) ).

cnf(c_0_4659,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4644]) ).

cnf(c_0_4660,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4645]) ).

cnf(c_0_4661,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4646,c_0_34]) ).

cnf(c_0_4662,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_4646,c_0_31]) ).

cnf(c_0_4663,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4647,c_0_34]) ).

cnf(c_0_4664,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4647,c_0_31]) ).

cnf(c_0_4665,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4648]) ).

cnf(c_0_4666,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4649,c_0_31]) ).

cnf(c_0_4667,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4650]),c_0_4651]) ).

cnf(c_0_4668,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4636,c_0_34]) ).

cnf(c_0_4669,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4652]),c_0_4653]) ).

cnf(c_0_4670,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4654]) ).

cnf(c_0_4671,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4655,c_0_31]) ).

cnf(c_0_4672,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4656]) ).

cnf(c_0_4673,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4657]) ).

cnf(c_0_4674,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s(s('0')),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4658]) ).

cnf(c_0_4675,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4659,c_0_4660]),c_0_4357]),c_0_71]) ).

cnf(c_0_4676,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4661]),c_0_4662]) ).

cnf(c_0_4677,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4663]),c_0_4664]) ).

cnf(c_0_4678,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4665,c_0_965]),c_0_2546]),c_0_4572]),c_0_4584]) ).

cnf(c_0_4679,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4666]) ).

cnf(c_0_4680,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4667]) ).

cnf(c_0_4681,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4668]),c_0_4669]),c_0_4670]),c_0_4614]) ).

cnf(c_0_4682,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_4671]),c_0_4672]) ).

cnf(c_0_4683,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4673,c_0_31]) ).

cnf(c_0_4684,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_3085,c_0_34]) ).

cnf(c_0_4685,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X2))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(X2)),X1)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X2))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4674,c_0_4660]),c_0_4357]),c_0_4675]),c_0_71]) ).

cnf(c_0_4686,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_3125]) ).

cnf(c_0_4687,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4649,c_0_34]) ).

cnf(c_0_4688,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4676]),c_0_4677]),c_0_4678]) ).

cnf(c_0_4689,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4679,c_0_34]) ).

cnf(c_0_4690,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4679,c_0_31]) ).

cnf(c_0_4691,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4680]),c_0_4065]) ).

cnf(c_0_4692,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4681]) ).

cnf(c_0_4693,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4670]) ).

cnf(c_0_4694,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4589]) ).

cnf(c_0_4695,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4682,c_0_34]) ).

cnf(c_0_4696,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4682,c_0_31]) ).

cnf(c_0_4697,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4683]) ).

cnf(c_0_4698,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4684]) ).

cnf(c_0_4699,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4685,c_0_31]) ).

cnf(c_0_4700,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4686]) ).

cnf(c_0_4701,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4687]) ).

cnf(c_0_4702,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4688]) ).

cnf(c_0_4703,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4689]),c_0_4690]) ).

cnf(c_0_4704,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4669]) ).

cnf(c_0_4705,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4691]),c_0_4313]) ).

cnf(c_0_4706,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4692]) ).

cnf(c_0_4707,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4693,c_0_4694]) ).

cnf(c_0_4708,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4053]) ).

cnf(c_0_4709,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4695]),c_0_4696]) ).

cnf(c_0_4710,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4697,c_0_31]) ).

cnf(c_0_4711,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4698,c_0_31]) ).

cnf(c_0_4712,plain,
    ( 'LE'(f(g(g(X1))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4699]) ).

cnf(c_0_4713,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4201]),c_0_4700]) ).

cnf(c_0_4714,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4701,c_0_34]) ).

cnf(c_0_4715,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4701,c_0_31]) ).

cnf(c_0_4716,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4702]) ).

cnf(c_0_4717,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4703]),c_0_4534]) ).

cnf(c_0_4718,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4704]),c_0_4705]) ).

cnf(c_0_4719,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4706,c_0_4707]) ).

cnf(c_0_4720,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4614]) ).

cnf(c_0_4721,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3988]),c_0_2796]) ).

cnf(c_0_4722,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4708]) ).

cnf(c_0_4723,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4709]) ).

cnf(c_0_4724,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_2559]) ).

cnf(c_0_4725,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4698,c_0_34]) ).

cnf(c_0_4726,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4710]),c_0_4711]) ).

cnf(c_0_4727,plain,
    ( 'LE'(f(g(g(g(X1)))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4685,c_0_34]) ).

cnf(c_0_4728,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4712]) ).

cnf(c_0_4729,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4713]) ).

cnf(c_0_4730,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4714]),c_0_4715]) ).

cnf(c_0_4731,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4716,c_0_4717]),c_0_4602]),c_0_4678]) ).

cnf(c_0_4732,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4634,c_0_34]) ).

cnf(c_0_4733,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4693,c_0_4718]),c_0_4719]),c_0_4720]) ).

cnf(c_0_4734,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4721]) ).

cnf(c_0_4735,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4722]) ).

cnf(c_0_4736,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4723]) ).

cnf(c_0_4737,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4724]) ).

cnf(c_0_4738,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4725]),c_0_4726]) ).

cnf(c_0_4739,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(X1))),X2)
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4727]) ).

cnf(c_0_4740,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(X1)),X2)
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4728,c_0_4729]) ).

cnf(c_0_4741,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4730]),c_0_4731]),c_0_4702]),c_0_4678]) ).

cnf(c_0_4742,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4732]),c_0_4667]),c_0_4733]) ).

cnf(c_0_4743,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4734]),c_0_4735]) ).

cnf(c_0_4744,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4736]) ).

cnf(c_0_4745,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_3277]),c_0_4737]) ).

cnf(c_0_4746,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4354]),c_0_3399]) ).

cnf(c_0_4747,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4331]) ).

cnf(c_0_4748,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_3124]),c_0_2812]) ).

cnf(c_0_4749,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4738]),c_0_3250]) ).

cnf(c_0_4750,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4486]) ).

cnf(c_0_4751,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4739,c_0_34]) ).

cnf(c_0_4752,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4739,c_0_31]) ).

cnf(c_0_4753,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'('0',f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4740,c_0_34]) ).

cnf(c_0_4754,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4741]) ).

cnf(c_0_4755,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4742]) ).

cnf(c_0_4756,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4718]) ).

cnf(c_0_4757,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4337]) ).

cnf(c_0_4758,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4743]),c_0_3225]) ).

cnf(c_0_4759,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4744]) ).

cnf(c_0_4760,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4745,c_0_1355]) ).

cnf(c_0_4761,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4746]) ).

cnf(c_0_4762,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_4747]),c_0_4748]) ).

cnf(c_0_4763,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4749]),c_0_4451]) ).

cnf(c_0_4764,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_1481]),c_0_2258]) ).

cnf(c_0_4765,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4750]) ).

cnf(c_0_4766,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4751]),c_0_4752]) ).

cnf(c_0_4767,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'('0',f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4753]) ).

cnf(c_0_4768,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4754]) ).

cnf(c_0_4769,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4755]) ).

cnf(c_0_4770,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4575]) ).

cnf(c_0_4771,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4756]),c_0_4757]) ).

cnf(c_0_4772,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4758]) ).

cnf(c_0_4773,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4759]) ).

cnf(c_0_4774,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4760,c_0_4761]),c_0_4762]),c_0_3399]) ).

cnf(c_0_4775,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_4763]) ).

cnf(c_0_4776,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4540]) ).

cnf(c_0_4777,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1386,c_0_1554]),c_0_1381]),c_0_228]),c_0_142]) ).

cnf(c_0_4778,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3387,c_0_4764]),c_0_3394]) ).

cnf(c_0_4779,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3229,c_0_3969]),c_0_3286]) ).

cnf(c_0_4780,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_4765]) ).

cnf(c_0_4781,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4351,c_0_4585]),c_0_4357]) ).

cnf(c_0_4782,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4766]) ).

cnf(c_0_4783,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4740,c_0_31]),c_0_4767]) ).

cnf(c_0_4784,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4768,c_0_4614]),c_0_4678]) ).

cnf(c_0_4785,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4769,c_0_4770]),c_0_4771]) ).

cnf(c_0_4786,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4465,c_0_4720]),c_0_4467]),c_0_142]) ).

cnf(c_0_4787,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4772,c_0_4773]),c_0_4774]) ).

cnf(c_0_4788,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4775]),c_0_2598]) ).

cnf(c_0_4789,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4776]),c_0_4282]) ).

cnf(c_0_4790,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4777,c_0_4778]),c_0_3125]),c_0_3395]) ).

cnf(c_0_4791,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4113,c_0_3370]),c_0_71]) ).

cnf(c_0_4792,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_4779]),c_0_71]) ).

cnf(c_0_4793,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4780,c_0_4278]),c_0_4280]),c_0_4781]),c_0_142]) ).

cnf(c_0_4794,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
    | ~ 'E'(s('0'),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4782]) ).

cnf(c_0_4795,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_2889,c_0_4783]) ).

cnf(c_0_4796,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4784]) ).

cnf(c_0_4797,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4785]),c_0_4380]) ).

cnf(c_0_4798,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4786,c_0_4380]),c_0_4311]),c_0_142]) ).

cnf(c_0_4799,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4469,c_0_4733]),c_0_4378]),c_0_4470]) ).

cnf(c_0_4800,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4787,c_0_3290]),c_0_3229]) ).

cnf(c_0_4801,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_4788]) ).

cnf(c_0_4802,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_4789]),c_0_4790]) ).

cnf(c_0_4803,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4791]),c_0_4007]) ).

cnf(c_0_4804,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_4733]) ).

cnf(c_0_4805,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4792]),c_0_3031]),c_0_91]) ).

cnf(c_0_4806,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_4793]),c_0_91]) ).

cnf(c_0_4807,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4794,c_0_4758]),c_0_4795]) ).

cnf(c_0_4808,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4796,c_0_4065]),c_0_4311]),c_0_4678]) ).

cnf(c_0_4809,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4796,c_0_4797]),c_0_4678]) ).

cnf(c_0_4810,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4798,c_0_4799]),c_0_4357]) ).

cnf(c_0_4811,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4800,c_0_4801]),c_0_3322]) ).

cnf(c_0_4812,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4598,c_0_4802]),c_0_91]) ).

cnf(c_0_4813,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3387,c_0_4803]),c_0_3125]),c_0_71]) ).

cnf(c_0_4814,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4804,c_0_4109]),c_0_4423]) ).

cnf(c_0_4815,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4805,c_0_4806]),c_0_4377]),c_0_4403]),c_0_71]) ).

cnf(c_0_4816,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4807,c_0_4397]) ).

cnf(c_0_4817,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4804,c_0_4808]),c_0_4809]),c_0_4678]) ).

cnf(c_0_4818,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4810,c_0_4311]),c_0_4378]) ).

cnf(c_0_4819,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4811,c_0_4733]),c_0_4797]),c_0_4678]),c_0_4812]),c_0_4813]) ).

cnf(c_0_4820,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_4797]),c_0_4814]) ).

cnf(c_0_4821,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_4815]) ).

cnf(c_0_4822,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4816,c_0_4817]),c_0_91]),c_0_4418]) ).

cnf(c_0_4823,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4818]),c_0_4403]) ).

cnf(c_0_4824,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4819,c_0_4311]),c_0_4817]),c_0_4678]) ).

cnf(c_0_4825,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4820]),c_0_4403]) ).

cnf(c_0_4826,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4821,c_0_4558]) ).

cnf(c_0_4827,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_4822]),c_0_54]) ).

cnf(c_0_4828,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_4823]),c_0_54]) ).

cnf(c_0_4829,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4824,c_0_3813]),c_0_4825]),c_0_4817]),c_0_4678]) ).

cnf(c_0_4830,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_4826]) ).

cnf(c_0_4831,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4827,c_0_4828]),c_0_3410]),c_0_4678]) ).

cnf(c_0_4832,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_4829]),c_0_4830]) ).

cnf(c_0_4833,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4598,c_0_4831]),c_0_91]) ).

cnf(c_0_4834,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_4832]) ).

cnf(c_0_4835,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2875,c_0_34]) ).

cnf(c_0_4836,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4833,c_0_4678]) ).

cnf(c_0_4837,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4834,c_0_4815]),c_0_4378]) ).

cnf(c_0_4838,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_2944,c_0_34]) ).

cnf(c_0_4839,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_4835]) ).

cnf(c_0_4840,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_2943,c_0_34]) ).

cnf(c_0_4841,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4836,c_0_4837]) ).

cnf(c_0_4842,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4838]) ).

cnf(c_0_4843,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1593,c_0_34]) ).

cnf(c_0_4844,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1636,c_0_34]) ).

cnf(c_0_4845,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4839,c_0_31]) ).

cnf(c_0_4846,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4840]) ).

cnf(c_0_4847,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4841,c_0_4569]) ).

cnf(c_0_4848,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4842,c_0_31]) ).

cnf(c_0_4849,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_4843]) ).

cnf(c_0_4850,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4844]) ).

cnf(c_0_4851,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4845]) ).

cnf(c_0_4852,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4846,c_0_31]) ).

cnf(c_0_4853,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_4847]) ).

cnf(c_0_4854,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_1874,c_0_34]) ).

cnf(c_0_4855,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1968,c_0_34]) ).

cnf(c_0_4856,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4848]) ).

cnf(c_0_4857,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4849,c_0_31]) ).

cnf(c_0_4858,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4850,c_0_31]) ).

cnf(c_0_4859,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4851,c_0_31]) ).

cnf(c_0_4860,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4852]) ).

cnf(c_0_4861,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4853,c_0_4607]),c_0_4830]) ).

cnf(c_0_4862,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4854]) ).

cnf(c_0_4863,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4855]) ).

cnf(c_0_4864,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4856,c_0_31]) ).

cnf(c_0_4865,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4857]) ).

cnf(c_0_4866,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_1677,c_0_34]) ).

cnf(c_0_4867,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4858]) ).

cnf(c_0_4868,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4839,c_0_34]) ).

cnf(c_0_4869,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4851,c_0_34]) ).

cnf(c_0_4870,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4859]) ).

cnf(c_0_4871,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4860,c_0_34]) ).

cnf(c_0_4872,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4860,c_0_31]) ).

cnf(c_0_4873,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_4861]) ).

cnf(c_0_4874,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4673,c_0_34]) ).

cnf(c_0_4875,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4846,c_0_34]) ).

cnf(c_0_4876,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4862,c_0_31]) ).

cnf(c_0_4877,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4863,c_0_31]) ).

cnf(c_0_4878,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4864]) ).

cnf(c_0_4879,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4865,c_0_31]) ).

cnf(c_0_4880,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X2))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4866]) ).

cnf(c_0_4881,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4867,c_0_34]) ).

cnf(c_0_4882,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4867,c_0_31]) ).

cnf(c_0_4883,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4868]) ).

cnf(c_0_4884,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4869]) ).

cnf(c_0_4885,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4870,c_0_34]) ).

cnf(c_0_4886,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4870,c_0_31]) ).

cnf(c_0_4887,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4871]) ).

cnf(c_0_4888,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4872]) ).

cnf(c_0_4889,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4873,c_0_4678]) ).

cnf(c_0_4890,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4834,c_0_4645]),c_0_4357]) ).

cnf(c_0_4891,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4874]) ).

cnf(c_0_4892,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4697,c_0_34]) ).

cnf(c_0_4893,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4875]) ).

cnf(c_0_4894,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4842,c_0_34]) ).

cnf(c_0_4895,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4876]) ).

cnf(c_0_4896,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4877]) ).

cnf(c_0_4897,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4856,c_0_34]) ).

cnf(c_0_4898,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4878,c_0_31]) ).

cnf(c_0_4899,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4603,c_0_34]) ).

cnf(c_0_4900,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4655,c_0_34]) ).

cnf(c_0_4901,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4865,c_0_34]) ).

cnf(c_0_4902,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4879]) ).

cnf(c_0_4903,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4880,c_0_31]) ).

cnf(c_0_4904,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4881]) ).

cnf(c_0_4905,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4882]) ).

cnf(c_0_4906,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4850,c_0_34]) ).

cnf(c_0_4907,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4883,c_0_31]) ).

cnf(c_0_4908,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4884,c_0_34]) ).

cnf(c_0_4909,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4884,c_0_31]) ).

cnf(c_0_4910,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4885]) ).

cnf(c_0_4911,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4886]) ).

cnf(c_0_4912,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4887,c_0_34]) ).

cnf(c_0_4913,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4887,c_0_31]) ).

cnf(c_0_4914,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4888,c_0_34]) ).

cnf(c_0_4915,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4888,c_0_31]) ).

cnf(c_0_4916,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4889,c_0_4890]),c_0_71]) ).

cnf(c_0_4917,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4891,c_0_34]) ).

cnf(c_0_4918,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4891,c_0_31]) ).

cnf(c_0_4919,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4892]),c_0_4726]) ).

cnf(c_0_4920,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4893,c_0_34]) ).

cnf(c_0_4921,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4893,c_0_31]) ).

cnf(c_0_4922,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4894]) ).

cnf(c_0_4923,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4862,c_0_34]) ).

cnf(c_0_4924,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4895,c_0_34]) ).

cnf(c_0_4925,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4895,c_0_31]) ).

cnf(c_0_4926,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4863,c_0_34]) ).

cnf(c_0_4927,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4896,c_0_31]) ).

cnf(c_0_4928,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4897]) ).

cnf(c_0_4929,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4878,c_0_34]) ).

cnf(c_0_4930,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4898]),c_0_4428]) ).

cnf(c_0_4931,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4522,c_0_34]) ).

cnf(c_0_4932,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4899]) ).

cnf(c_0_4933,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4900]) ).

cnf(c_0_4934,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4901]) ).

cnf(c_0_4935,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4902,c_0_34]) ).

cnf(c_0_4936,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4902,c_0_31]) ).

cnf(c_0_4937,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4880,c_0_34]) ).

cnf(c_0_4938,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4903]) ).

cnf(c_0_4939,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4904,c_0_34]) ).

cnf(c_0_4940,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4904,c_0_31]) ).

cnf(c_0_4941,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4905,c_0_34]) ).

cnf(c_0_4942,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4905,c_0_31]) ).

cnf(c_0_4943,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4906]) ).

cnf(c_0_4944,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4883,c_0_34]) ).

cnf(c_0_4945,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4907]) ).

cnf(c_0_4946,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4908]) ).

cnf(c_0_4947,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4909]) ).

cnf(c_0_4948,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4910,c_0_34]) ).

cnf(c_0_4949,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4910,c_0_31]) ).

cnf(c_0_4950,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4911,c_0_34]) ).

cnf(c_0_4951,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4911,c_0_31]) ).

cnf(c_0_4952,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4912]),c_0_4913]) ).

cnf(c_0_4953,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4914]),c_0_4915]) ).

cnf(c_0_4954,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4469,c_0_4916]),c_0_4598]),c_0_71]) ).

cnf(c_0_4955,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4917]),c_0_4918]) ).

cnf(c_0_4956,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4919]),c_0_4763]) ).

cnf(c_0_4957,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4920]) ).

cnf(c_0_4958,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4921]) ).

cnf(c_0_4959,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4922,c_0_34]) ).

cnf(c_0_4960,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4922,c_0_31]) ).

cnf(c_0_4961,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4923]) ).

cnf(c_0_4962,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4924]) ).

cnf(c_0_4963,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4925]) ).

cnf(c_0_4964,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4926]) ).

cnf(c_0_4965,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4896,c_0_34]) ).

cnf(c_0_4966,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4927]),c_0_3183]) ).

cnf(c_0_4967,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4928,c_0_34]) ).

cnf(c_0_4968,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4928,c_0_31]) ).

cnf(c_0_4969,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4929]),c_0_4930]) ).

cnf(c_0_4970,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4849,c_0_34]) ).

cnf(c_0_4971,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4521,c_0_34]) ).

cnf(c_0_4972,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4931]) ).

cnf(c_0_4973,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4932,c_0_34]) ).

cnf(c_0_4974,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4932,c_0_31]) ).

cnf(c_0_4975,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4933,c_0_34]) ).

cnf(c_0_4976,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4933,c_0_31]) ).

cnf(c_0_4977,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4934,c_0_34]) ).

cnf(c_0_4978,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4934,c_0_31]) ).

cnf(c_0_4979,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4935]) ).

cnf(c_0_4980,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4936]) ).

cnf(c_0_4981,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4937]) ).

cnf(c_0_4982,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4938,c_0_34]) ).

cnf(c_0_4983,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4938,c_0_31]) ).

cnf(c_0_4984,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4939]),c_0_4940]) ).

cnf(c_0_4985,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4941]),c_0_4942]) ).

cnf(c_0_4986,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4943,c_0_34]) ).

cnf(c_0_4987,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4943,c_0_31]) ).

cnf(c_0_4988,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_4944]) ).

cnf(c_0_4989,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4945,c_0_34]) ).

cnf(c_0_4990,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4945,c_0_31]) ).

cnf(c_0_4991,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4946,c_0_34]) ).

cnf(c_0_4992,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4946,c_0_31]) ).

cnf(c_0_4993,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4947,c_0_34]) ).

cnf(c_0_4994,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4947,c_0_31]) ).

cnf(c_0_4995,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4948]),c_0_4949]) ).

cnf(c_0_4996,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4950]),c_0_4951]) ).

cnf(c_0_4997,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4952]),c_0_4953]),c_0_4954]) ).

cnf(c_0_4998,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4955]),c_0_4956]),c_0_4954]) ).

cnf(c_0_4999,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4957,c_0_34]) ).

cnf(c_0_5000,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4957,c_0_31]) ).

cnf(c_0_5001,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4958,c_0_34]) ).

cnf(c_0_5002,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4958,c_0_31]) ).

cnf(c_0_5003,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4959]) ).

cnf(c_0_5004,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4960]) ).

cnf(c_0_5005,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_4961,c_0_34]) ).

cnf(c_0_5006,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4961,c_0_31]) ).

cnf(c_0_5007,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4962,c_0_34]) ).

cnf(c_0_5008,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4962,c_0_31]) ).

cnf(c_0_5009,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4963,c_0_34]) ).

cnf(c_0_5010,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4963,c_0_31]) ).

cnf(c_0_5011,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4964,c_0_34]) ).

cnf(c_0_5012,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4964,c_0_31]) ).

cnf(c_0_5013,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4965]),c_0_4966]) ).

cnf(c_0_5014,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4967]),c_0_4968]) ).

cnf(c_0_5015,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4969]),c_0_4475]) ).

cnf(c_0_5016,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_4970]) ).

cnf(c_0_5017,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4971]) ).

cnf(c_0_5018,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4972,c_0_34]) ).

cnf(c_0_5019,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4972,c_0_31]) ).

cnf(c_0_5020,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4973]),c_0_4974]) ).

cnf(c_0_5021,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4975]),c_0_4976]) ).

cnf(c_0_5022,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4977]) ).

cnf(c_0_5023,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4978]) ).

cnf(c_0_5024,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4979,c_0_34]) ).

cnf(c_0_5025,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4979,c_0_31]) ).

cnf(c_0_5026,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4980,c_0_34]) ).

cnf(c_0_5027,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4980,c_0_31]) ).

cnf(c_0_5028,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4981,c_0_34]) ).

cnf(c_0_5029,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_4981,c_0_31]) ).

cnf(c_0_5030,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4982]),c_0_4983]) ).

cnf(c_0_5031,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4984]),c_0_4985]),c_0_4954]) ).

cnf(c_0_5032,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4986]) ).

cnf(c_0_5033,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4987]) ).

cnf(c_0_5034,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4988,c_0_34]) ).

cnf(c_0_5035,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_4988,c_0_31]) ).

cnf(c_0_5036,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4989]) ).

cnf(c_0_5037,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_4990]) ).

cnf(c_0_5038,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4991]),c_0_4992]) ).

cnf(c_0_5039,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4993]),c_0_4994]) ).

cnf(c_0_5040,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_4995]),c_0_4996]),c_0_4954]) ).

cnf(c_0_5041,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4997]),c_0_4998]) ).

cnf(c_0_5042,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_4999]),c_0_5000]) ).

cnf(c_0_5043,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5001]),c_0_5002]) ).

cnf(c_0_5044,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5003,c_0_34]) ).

cnf(c_0_5045,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5003,c_0_31]) ).

cnf(c_0_5046,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5004,c_0_34]) ).

cnf(c_0_5047,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5004,c_0_31]) ).

cnf(c_0_5048,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5005]) ).

cnf(c_0_5049,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5006]) ).

cnf(c_0_5050,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5007]),c_0_5008]) ).

cnf(c_0_5051,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5009]),c_0_5010]) ).

cnf(c_0_5052,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5011]),c_0_5012]) ).

cnf(c_0_5053,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5013]),c_0_3183]) ).

cnf(c_0_5054,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5014]),c_0_5015]),c_0_4678]) ).

cnf(c_0_5055,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5016,c_0_31]) ).

cnf(c_0_5056,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5017,c_0_34]) ).

cnf(c_0_5057,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5017,c_0_31]) ).

cnf(c_0_5058,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5018]),c_0_5019]) ).

cnf(c_0_5059,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5020]),c_0_4709]),c_0_4954]) ).

cnf(c_0_5060,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5021]),c_0_4709]),c_0_4954]) ).

cnf(c_0_5061,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5022,c_0_34]) ).

cnf(c_0_5062,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5022,c_0_31]) ).

cnf(c_0_5063,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5023,c_0_34]) ).

cnf(c_0_5064,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5023,c_0_31]) ).

cnf(c_0_5065,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5024]),c_0_5025]) ).

cnf(c_0_5066,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5026]),c_0_5027]) ).

cnf(c_0_5067,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5028]),c_0_5029]) ).

cnf(c_0_5068,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5030]),c_0_2465]),c_0_4678]) ).

cnf(c_0_5069,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5031]) ).

cnf(c_0_5070,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5032,c_0_34]) ).

cnf(c_0_5071,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5032,c_0_31]) ).

cnf(c_0_5072,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5033,c_0_34]) ).

cnf(c_0_5073,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5033,c_0_31]) ).

cnf(c_0_5074,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5034]) ).

cnf(c_0_5075,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5035]) ).

cnf(c_0_5076,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5036,c_0_34]) ).

cnf(c_0_5077,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5036,c_0_31]) ).

cnf(c_0_5078,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5037,c_0_34]) ).

cnf(c_0_5079,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5037,c_0_31]) ).

cnf(c_0_5080,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5038]),c_0_5039]),c_0_4954]) ).

cnf(c_0_5081,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5040]),c_0_5041]) ).

cnf(c_0_5082,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5042]),c_0_5043]),c_0_4954]) ).

cnf(c_0_5083,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5044]),c_0_5045]) ).

cnf(c_0_5084,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5046]),c_0_5047]) ).

cnf(c_0_5085,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5048,c_0_34]) ).

cnf(c_0_5086,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5048,c_0_31]) ).

cnf(c_0_5087,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5049,c_0_34]) ).

cnf(c_0_5088,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5049,c_0_31]) ).

cnf(c_0_5089,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5050]),c_0_5051]),c_0_4954]) ).

cnf(c_0_5090,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5052]),c_0_5053]),c_0_4954]) ).

cnf(c_0_5091,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5054]) ).

cnf(c_0_5092,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5016,c_0_34]) ).

cnf(c_0_5093,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5055]) ).

cnf(c_0_5094,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5056]),c_0_5057]) ).

cnf(c_0_5095,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5058]),c_0_4656]),c_0_4954]) ).

cnf(c_0_5096,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5059]),c_0_5060]) ).

cnf(c_0_5097,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5061]),c_0_5062]) ).

cnf(c_0_5098,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5063]),c_0_5064]) ).

cnf(c_0_5099,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5065]),c_0_5066]),c_0_4954]) ).

cnf(c_0_5100,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5067]),c_0_5068]),c_0_5069]),c_0_4954]) ).

cnf(c_0_5101,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5070]),c_0_5071]) ).

cnf(c_0_5102,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5072]),c_0_5073]) ).

cnf(c_0_5103,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5074,c_0_34]) ).

cnf(c_0_5104,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5074,c_0_31]) ).

cnf(c_0_5105,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5075,c_0_34]) ).

cnf(c_0_5106,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5075,c_0_31]) ).

cnf(c_0_5107,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5076]),c_0_5077]) ).

cnf(c_0_5108,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5078]),c_0_5079]) ).

cnf(c_0_5109,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5080]),c_0_5081]) ).

cnf(c_0_5110,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5082]),c_0_5041]) ).

cnf(c_0_5111,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_4557]),c_0_2546]) ).

cnf(c_0_5112,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5083]),c_0_5084]),c_0_4678]) ).

cnf(c_0_5113,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5085]),c_0_5086]) ).

cnf(c_0_5114,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5087]),c_0_5088]) ).

cnf(c_0_5115,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5089]),c_0_5090]) ).

cnf(c_0_5116,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5091]) ).

cnf(c_0_5117,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4483,c_0_34]) ).

cnf(c_0_5118,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4577,c_0_34]) ).

cnf(c_0_5119,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5092]) ).

cnf(c_0_5120,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5093,c_0_34]) ).

cnf(c_0_5121,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5093,c_0_31]) ).

cnf(c_0_5122,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5094]),c_0_4604]),c_0_4954]) ).

cnf(c_0_5123,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5095]),c_0_5096]) ).

cnf(c_0_5124,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5097]),c_0_5098]),c_0_4954]) ).

cnf(c_0_5125,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5099]),c_0_5100]) ).

cnf(c_0_5126,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5101]),c_0_5102]),c_0_4954]) ).

cnf(c_0_5127,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5103]),c_0_5104]) ).

cnf(c_0_5128,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5105]),c_0_5106]) ).

cnf(c_0_5129,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5107]),c_0_5108]),c_0_4954]) ).

cnf(c_0_5130,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5109]),c_0_5110]) ).

cnf(c_0_5131,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_5111]) ).

cnf(c_0_5132,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5112]),c_0_5054]) ).

cnf(c_0_5133,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_4616]) ).

cnf(c_0_5134,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5113]),c_0_5114]),c_0_4954]) ).

cnf(c_0_5135,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5115]) ).

cnf(c_0_5136,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5116]) ).

cnf(c_0_5137,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5117]) ).

cnf(c_0_5138,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5118]) ).

cnf(c_0_5139,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5119,c_0_34]) ).

cnf(c_0_5140,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5119,c_0_31]) ).

cnf(c_0_5141,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5120]) ).

cnf(c_0_5142,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5121]) ).

cnf(c_0_5143,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5122]),c_0_5123]) ).

cnf(c_0_5144,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5124]),c_0_5125]) ).

cnf(c_0_5145,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5126]),c_0_5100]) ).

cnf(c_0_5146,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5127]),c_0_5128]),c_0_4954]) ).

cnf(c_0_5147,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5129]),c_0_5130]) ).

cnf(c_0_5148,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5131,c_0_3122]) ).

cnf(c_0_5149,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5110]) ).

cnf(c_0_5150,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5132]) ).

cnf(c_0_5151,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5133]) ).

cnf(c_0_5152,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5134]),c_0_5115]) ).

cnf(c_0_5153,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5100]) ).

cnf(c_0_5154,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5041]) ).

cnf(c_0_5155,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5135]) ).

cnf(c_0_5156,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5136,c_0_4528]),c_0_4954]) ).

cnf(c_0_5157,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4369]),c_0_3293]) ).

cnf(c_0_5158,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_4132]),c_0_2271]) ).

cnf(c_0_5159,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5137,c_0_34]) ).

cnf(c_0_5160,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5137,c_0_31]) ).

cnf(c_0_5161,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5138,c_0_34]) ).

cnf(c_0_5162,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5138,c_0_31]) ).

cnf(c_0_5163,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5139]) ).

cnf(c_0_5164,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5140]) ).

cnf(c_0_5165,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5141,c_0_34]) ).

cnf(c_0_5166,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5141,c_0_31]) ).

cnf(c_0_5167,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5142,c_0_34]) ).

cnf(c_0_5168,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5142,c_0_31]) ).

cnf(c_0_5169,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5143]) ).

cnf(c_0_5170,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5123]) ).

cnf(c_0_5171,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5144]),c_0_5145]) ).

cnf(c_0_5172,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5146]),c_0_5147]) ).

cnf(c_0_5173,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5148]),c_0_4420]) ).

cnf(c_0_5174,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5130]) ).

cnf(c_0_5175,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5149]),c_0_5150]) ).

cnf(c_0_5176,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1383,c_0_5151]),c_0_4250]) ).

cnf(c_0_5177,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5125]) ).

cnf(c_0_5178,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5090]) ).

cnf(c_0_5179,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5145]) ).

cnf(c_0_5180,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5152]) ).

cnf(c_0_5181,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5153]),c_0_5135]) ).

cnf(c_0_5182,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5154]) ).

cnf(c_0_5183,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5155]),c_0_5156]) ).

cnf(c_0_5184,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5157]) ).

cnf(c_0_5185,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5158]),c_0_2744]) ).

cnf(c_0_5186,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5159]) ).

cnf(c_0_5187,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5160]) ).

cnf(c_0_5188,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5161]) ).

cnf(c_0_5189,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5162]) ).

cnf(c_0_5190,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5163,c_0_34]) ).

cnf(c_0_5191,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5163,c_0_31]) ).

cnf(c_0_5192,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5164,c_0_34]) ).

cnf(c_0_5193,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5164,c_0_31]) ).

cnf(c_0_5194,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5165]),c_0_5166]) ).

cnf(c_0_5195,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5167]),c_0_5168]) ).

cnf(c_0_5196,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5169]) ).

cnf(c_0_5197,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5170]) ).

cnf(c_0_5198,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5171]) ).

cnf(c_0_5199,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4954,c_0_4569]) ).

cnf(c_0_5200,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_4954,c_0_4558]) ).

cnf(c_0_5201,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5172]),c_0_5130]) ).

cnf(c_0_5202,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5173,c_0_5174]),c_0_5175]),c_0_142]),c_0_91]) ).

cnf(c_0_5203,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5176]),c_0_3123]) ).

cnf(c_0_5204,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5177]) ).

cnf(c_0_5205,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_5053]) ).

cnf(c_0_5206,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_4511]) ).

cnf(c_0_5207,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5178]) ).

cnf(c_0_5208,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5179]),c_0_5180]) ).

cnf(c_0_5209,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5181]) ).

cnf(c_0_5210,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5182]),c_0_5183]) ).

cnf(c_0_5211,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4811,c_0_5184]),c_0_5185]),c_0_3293]) ).

cnf(c_0_5212,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s(s('0')))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_4394,c_0_34]) ).

cnf(c_0_5213,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5186,c_0_34]) ).

cnf(c_0_5214,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5186,c_0_31]) ).

cnf(c_0_5215,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5187,c_0_34]) ).

cnf(c_0_5216,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5187,c_0_31]) ).

cnf(c_0_5217,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5188,c_0_34]) ).

cnf(c_0_5218,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5188,c_0_31]) ).

cnf(c_0_5219,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5189,c_0_34]) ).

cnf(c_0_5220,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5189,c_0_31]) ).

cnf(c_0_5221,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5190]),c_0_5191]) ).

cnf(c_0_5222,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5192]),c_0_5193]) ).

cnf(c_0_5223,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5194]),c_0_5195]),c_0_4954]) ).

cnf(c_0_5224,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4833,c_0_4610]),c_0_54]) ).

cnf(c_0_5225,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5196]) ).

cnf(c_0_5226,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5197]),c_0_5198]) ).

cnf(c_0_5227,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_5199]) ).

cnf(c_0_5228,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_5200]) ).

cnf(c_0_5229,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5201]) ).

cnf(c_0_5230,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5202,c_0_4678]) ).

cnf(c_0_5231,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5203,c_0_5204]),c_0_5181]),c_0_4954]) ).

cnf(c_0_5232,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5205]),c_0_5206]) ).

cnf(c_0_5233,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5207]) ).

cnf(c_0_5234,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5208]) ).

cnf(c_0_5235,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5209]),c_0_5210]) ).

cnf(c_0_5236,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5175]) ).

cnf(c_0_5237,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_5211]) ).

cnf(c_0_5238,plain,
    ( 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_5212]) ).

cnf(c_0_5239,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_2980,c_0_34]) ).

cnf(c_0_5240,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5213]),c_0_5214]) ).

cnf(c_0_5241,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5215]),c_0_5216]) ).

cnf(c_0_5242,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5217]),c_0_5218]) ).

cnf(c_0_5243,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5219]),c_0_5220]) ).

cnf(c_0_5244,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5221]),c_0_5222]),c_0_4954]) ).

cnf(c_0_5245,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5223]),c_0_5171]) ).

cnf(c_0_5246,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5224,c_0_5225]),c_0_5226]) ).

cnf(c_0_5247,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5227,c_0_4607]),c_0_5228]) ).

cnf(c_0_5248,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5173,c_0_5229]),c_0_4467]),c_0_142]),c_0_91]) ).

cnf(c_0_5249,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5230,c_0_4528]),c_0_4282]),c_0_142]),c_0_4954]) ).

cnf(c_0_5250,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5231,c_0_5232]),c_0_4954]) ).

cnf(c_0_5251,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5233]),c_0_5156]) ).

cnf(c_0_5252,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_4451]),c_0_3233]) ).

cnf(c_0_5253,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5234,c_0_2515]),c_0_5235]),c_0_4954]) ).

cnf(c_0_5254,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5236,c_0_4775]),c_0_5235]),c_0_4954]) ).

cnf(c_0_5255,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5237,c_0_496]) ).

cnf(c_0_5256,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_5238,c_0_34]) ).

cnf(c_0_5257,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_5239]) ).

cnf(c_0_5258,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5240]),c_0_5241]),c_0_4954]) ).

cnf(c_0_5259,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5242]),c_0_5243]),c_0_4954]) ).

cnf(c_0_5260,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5244]),c_0_5245]) ).

cnf(c_0_5261,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5246,c_0_5247]),c_0_5248]),c_0_91]) ).

cnf(c_0_5262,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5229]) ).

cnf(c_0_5263,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5249,c_0_5250]) ).

cnf(c_0_5264,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5251,c_0_5252]),c_0_4571]),c_0_4954]) ).

cnf(c_0_5265,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5253]),c_0_5254]) ).

cnf(c_0_5266,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3367,c_0_5255]),c_0_4362]) ).

cnf(c_0_5267,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_5256]) ).

cnf(c_0_5268,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5257,c_0_34]) ).

cnf(c_0_5269,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5258]),c_0_5123]) ).

cnf(c_0_5270,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5259]),c_0_5096]) ).

cnf(c_0_5271,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5260]),c_0_5171]) ).

cnf(c_0_5272,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5096]) ).

cnf(c_0_5273,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5261,c_0_5208]),c_0_5202]),c_0_91]) ).

cnf(c_0_5274,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4825,c_0_4374]),c_0_3410]) ).

cnf(c_0_5275,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5174]) ).

cnf(c_0_5276,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5262,c_0_4763]),c_0_4528]),c_0_4954]) ).

cnf(c_0_5277,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5262,c_0_5182]) ).

cnf(c_0_5278,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5263,c_0_1186]),c_0_5264]),c_0_5265]),c_0_4954]) ).

cnf(c_0_5279,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5266,c_0_914]) ).

cnf(c_0_5280,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5238,c_0_31]) ).

cnf(c_0_5281,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s(s('0')))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_5267,c_0_34]) ).

cnf(c_0_5282,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5267,c_0_31]) ).

cnf(c_0_5283,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5268]) ).

cnf(c_0_5284,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5257,c_0_31]) ).

cnf(c_0_5285,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5269]),c_0_5270]) ).

cnf(c_0_5286,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5271]) ).

cnf(c_0_5287,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5272]),c_0_5181]) ).

cnf(c_0_5288,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5273,c_0_4678]) ).

cnf(c_0_5289,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4318,c_0_5274]),c_0_4469]),c_0_3410]) ).

cnf(c_0_5290,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5275,c_0_5276]),c_0_5277]) ).

cnf(c_0_5291,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s('0'),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_5278]) ).

cnf(c_0_5292,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_5264]) ).

cnf(c_0_5293,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_228,c_0_5265]) ).

cnf(c_0_5294,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5279]),c_0_3125]) ).

cnf(c_0_5295,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4435,c_0_34]) ).

cnf(c_0_5296,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_5280]) ).

cnf(c_0_5297,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X2))))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X2)))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5281]) ).

cnf(c_0_5298,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5282]) ).

cnf(c_0_5299,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s(s('0'))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_4436,c_0_34]) ).

cnf(c_0_5300,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5283,c_0_34]) ).

cnf(c_0_5301,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5283,c_0_31]) ).

cnf(c_0_5302,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X2)))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(X2))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5284]) ).

cnf(c_0_5303,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5285]) ).

cnf(c_0_5304,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5286]) ).

cnf(c_0_5305,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5287]) ).

cnf(c_0_5306,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5288,c_0_4528]),c_0_5289]),c_0_5290]),c_0_4954]) ).

cnf(c_0_5307,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5291,c_0_2703]),c_0_5292]),c_0_5293]),c_0_4954]) ).

cnf(c_0_5308,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4954,c_0_4648]) ).

cnf(c_0_5309,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_4469,c_0_5294]) ).

cnf(c_0_5310,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4833,c_0_4398]),c_0_54]) ).

cnf(c_0_5311,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_5295]) ).

cnf(c_0_5312,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5296,c_0_34]) ).

cnf(c_0_5313,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5296,c_0_31]) ).

cnf(c_0_5314,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(g(X1)))))))))),s('0'))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_5297,c_0_34]) ).

cnf(c_0_5315,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5297,c_0_31]) ).

cnf(c_0_5316,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5298,c_0_34]) ).

cnf(c_0_5317,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5298,c_0_31]) ).

cnf(c_0_5318,plain,
    ( 'LE'(f(X1),s(s('0')))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_5299]) ).

cnf(c_0_5319,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5300]) ).

cnf(c_0_5320,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5301]) ).

cnf(c_0_5321,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5302,c_0_34]) ).

cnf(c_0_5322,plain,
    ( 'LE'(f(g(g(g(g(g(X1)))))),s('0'))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5302,c_0_31]) ).

cnf(c_0_5323,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5303]),c_0_5198]) ).

cnf(c_0_5324,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s('0')),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5230,c_0_5276]),c_0_4282]),c_0_142]) ).

cnf(c_0_5325,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5304,c_0_5305]) ).

cnf(c_0_5326,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5306,c_0_4367]),c_0_5265]),c_0_5290]),c_0_4954]) ).

cnf(c_0_5327,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5290]),c_0_5307]) ).

cnf(c_0_5328,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5308,c_0_5309]),c_0_5247]),c_0_4678]) ).

cnf(c_0_5329,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s('0'))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_272]) ).

cnf(c_0_5330,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_5310]) ).

cnf(c_0_5331,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5311,c_0_31]) ).

cnf(c_0_5332,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_4482,c_0_34]) ).

cnf(c_0_5333,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5312]) ).

cnf(c_0_5334,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5313]) ).

cnf(c_0_5335,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(g(X1))))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5314]) ).

cnf(c_0_5336,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5315]) ).

cnf(c_0_5337,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5316]) ).

cnf(c_0_5338,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5317]) ).

cnf(c_0_5339,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5318,c_0_31]) ).

cnf(c_0_5340,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5319,c_0_34]) ).

cnf(c_0_5341,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5319,c_0_31]) ).

cnf(c_0_5342,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5320,c_0_34]) ).

cnf(c_0_5343,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5320,c_0_31]) ).

cnf(c_0_5344,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5321]) ).

cnf(c_0_5345,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(X1))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5322]) ).

cnf(c_0_5346,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5323]) ).

cnf(c_0_5347,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5304,c_0_2465]),c_0_3183]),c_0_4954]),c_0_5324]) ).

cnf(c_0_5348,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5325]),c_0_5326]) ).

cnf(c_0_5349,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_5327]),c_0_5328]) ).

cnf(c_0_5350,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s('0')),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5255]),c_0_4420]) ).

cnf(c_0_5351,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5329]),c_0_1136]) ).

cnf(c_0_5352,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_5224,c_0_5330]) ).

cnf(c_0_5353,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5311,c_0_34]) ).

cnf(c_0_5354,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5331]) ).

cnf(c_0_5355,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5332]) ).

cnf(c_0_5356,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5333,c_0_34]) ).

cnf(c_0_5357,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5333,c_0_31]) ).

cnf(c_0_5358,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5334,c_0_34]) ).

cnf(c_0_5359,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5334,c_0_31]) ).

cnf(c_0_5360,plain,
    ( 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X1))))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_5335,c_0_34]) ).

cnf(c_0_5361,plain,
    ( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1))))))))))) ),
    inference(spm,[status(thm)],[c_0_5335,c_0_31]) ).

cnf(c_0_5362,plain,
    ( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5336,c_0_34]) ).

cnf(c_0_5363,plain,
    ( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5336,c_0_31]) ).

cnf(c_0_5364,plain,
    ( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5337,c_0_34]) ).

cnf(c_0_5365,plain,
    ( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5337,c_0_31]) ).

cnf(c_0_5366,plain,
    ( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5338,c_0_34]) ).

cnf(c_0_5367,plain,
    ( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5338,c_0_31]) ).

cnf(c_0_5368,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(X2)))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5339]) ).

cnf(c_0_5369,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5340]),c_0_5341]) ).

cnf(c_0_5370,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5342]),c_0_5343]) ).

cnf(c_0_5371,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5344,c_0_31]) ).

cnf(c_0_5372,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5345,c_0_34]) ).

cnf(c_0_5373,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5346,c_0_5347]),c_0_5348]) ).

cnf(c_0_5374,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5270]) ).

cnf(c_0_5375,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_5349]) ).

cnf(c_0_5376,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5350,c_0_5351]),c_0_2826]),c_0_4420]) ).

cnf(c_0_5377,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5224,c_0_4817]),c_0_5352]) ).

cnf(c_0_5378,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5353]) ).

cnf(c_0_5379,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5354,c_0_34]) ).

cnf(c_0_5380,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5354,c_0_31]) ).

cnf(c_0_5381,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5355,c_0_34]) ).

cnf(c_0_5382,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5355,c_0_31]) ).

cnf(c_0_5383,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5356]) ).

cnf(c_0_5384,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5357]) ).

cnf(c_0_5385,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5358]) ).

cnf(c_0_5386,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5359]) ).

cnf(c_0_5387,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X1))))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5360]),c_0_5361]) ).

cnf(c_0_5388,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5362]),c_0_5363]) ).

cnf(c_0_5389,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5364]),c_0_5365]) ).

cnf(c_0_5390,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5366]),c_0_5367]) ).

cnf(c_0_5391,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5368,c_0_34]) ).

cnf(c_0_5392,plain,
    ( 'LE'(f(g(g(g(g(g(g(X1))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5368,c_0_31]) ).

cnf(c_0_5393,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5369]),c_0_5370]),c_0_4678]) ).

cnf(c_0_5394,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5371]),c_0_5372]) ).

cnf(c_0_5395,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_4455]) ).

cnf(c_0_5396,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_5373]),c_0_5326]) ).

cnf(c_0_5397,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5374]),c_0_5208]) ).

cnf(c_0_5398,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5375,c_0_5376]),c_0_5328]) ).

cnf(c_0_5399,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5377,c_0_4822]),c_0_91]) ).

cnf(c_0_5400,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5378,c_0_34]) ).

cnf(c_0_5401,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5378,c_0_31]) ).

cnf(c_0_5402,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5379]) ).

cnf(c_0_5403,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5380]) ).

cnf(c_0_5404,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5381]) ).

cnf(c_0_5405,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5382]) ).

cnf(c_0_5406,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5383,c_0_34]) ).

cnf(c_0_5407,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5383,c_0_31]) ).

cnf(c_0_5408,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5384,c_0_34]) ).

cnf(c_0_5409,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5384,c_0_31]) ).

cnf(c_0_5410,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5385,c_0_34]) ).

cnf(c_0_5411,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5385,c_0_31]) ).

cnf(c_0_5412,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5386,c_0_34]) ).

cnf(c_0_5413,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5386,c_0_31]) ).

cnf(c_0_5414,plain,
    ( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5387]),c_0_5388]),c_0_4954]) ).

cnf(c_0_5415,plain,
    ( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5389]),c_0_5390]),c_0_4954]) ).

cnf(c_0_5416,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5391]) ).

cnf(c_0_5417,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(X1)))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5392]) ).

cnf(c_0_5418,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5344,c_0_34]) ).

cnf(c_0_5419,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5393]) ).

cnf(c_0_5420,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_5394]) ).

cnf(c_0_5421,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5395]),c_0_4369]) ).

cnf(c_0_5422,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_5396]),c_0_5307]) ).

cnf(c_0_5423,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5397]) ).

cnf(c_0_5424,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5398]) ).

cnf(c_0_5425,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5305]),c_0_5399]) ).

cnf(c_0_5426,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5224,c_0_5254]),c_0_5352]),c_0_5399]) ).

cnf(c_0_5427,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5400]) ).

cnf(c_0_5428,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5401]) ).

cnf(c_0_5429,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5402,c_0_34]) ).

cnf(c_0_5430,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5402,c_0_31]) ).

cnf(c_0_5431,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5403,c_0_34]) ).

cnf(c_0_5432,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5403,c_0_31]) ).

cnf(c_0_5433,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5404,c_0_34]) ).

cnf(c_0_5434,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5404,c_0_31]) ).

cnf(c_0_5435,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5405,c_0_34]) ).

cnf(c_0_5436,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5405,c_0_31]) ).

cnf(c_0_5437,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5406]),c_0_5407]) ).

cnf(c_0_5438,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5408]),c_0_5409]) ).

cnf(c_0_5439,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5410]),c_0_5411]) ).

cnf(c_0_5440,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5412]),c_0_5413]) ).

cnf(c_0_5441,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5414]),c_0_5415]) ).

cnf(c_0_5442,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5416,c_0_34]) ).

cnf(c_0_5443,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5416,c_0_31]) ).

cnf(c_0_5444,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5417,c_0_34]) ).

cnf(c_0_5445,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1))))))))
    | 'E'('0',f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_5417,c_0_31]) ).

cnf(c_0_5446,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5418]),c_0_5394]) ).

cnf(c_0_5447,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5345,c_0_31]) ).

cnf(c_0_5448,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5419]) ).

cnf(c_0_5449,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5420]),c_0_5421]) ).

cnf(c_0_5450,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_5422]),c_0_5328]) ).

cnf(c_0_5451,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5423]),c_0_5399]) ).

cnf(c_0_5452,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1)))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5424,c_0_5425]),c_0_5426]) ).

cnf(c_0_5453,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4609,c_0_4847]),c_0_4357]) ).

cnf(c_0_5454,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s(s('0')))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5318,c_0_34]) ).

cnf(c_0_5455,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5427,c_0_34]) ).

cnf(c_0_5456,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5427,c_0_31]) ).

cnf(c_0_5457,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5428,c_0_34]) ).

cnf(c_0_5458,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5428,c_0_31]) ).

cnf(c_0_5459,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5429]),c_0_5430]) ).

cnf(c_0_5460,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5431]),c_0_5432]) ).

cnf(c_0_5461,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5433]),c_0_5434]) ).

cnf(c_0_5462,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5435]),c_0_5436]) ).

cnf(c_0_5463,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5437]),c_0_5438]),c_0_4954]) ).

cnf(c_0_5464,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5439]),c_0_5440]),c_0_4954]) ).

cnf(c_0_5465,plain,
    ( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5441]) ).

cnf(c_0_5466,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5442]),c_0_5443]) ).

cnf(c_0_5467,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5444]),c_0_5445]) ).

cnf(c_0_5468,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_5446]) ).

cnf(c_0_5469,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1)))))))
    | 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5447]),c_0_4392]) ).

cnf(c_0_5470,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | ~ 'E'('0',f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5448,c_0_5449]),c_0_4529]),c_0_5450]),c_0_4954]) ).

cnf(c_0_5471,plain,
    ( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5451,c_0_2514]),c_0_5452]),c_0_5399]),c_0_4954]) ).

cnf(c_0_5472,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(spm,[status(thm)],[c_0_5426,c_0_5453]) ).

cnf(c_0_5473,plain,
    ( 'LE'(f(X1),s('0'))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X2))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X2)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X2))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X2)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X2))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X2)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X2))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X2)))))))))
    | 'E'(s('0'),f(X1))
    | ~ iLEQ(g(g(g(g(g(g(g(X2))))))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_5454]) ).

cnf(c_0_5474,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5455]),c_0_5456]) ).

cnf(c_0_5475,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5457]),c_0_5458]) ).

cnf(c_0_5476,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5459]),c_0_5460]),c_0_4954]) ).

cnf(c_0_5477,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5461]),c_0_5462]),c_0_4954]) ).

cnf(c_0_5478,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5463]),c_0_5464]),c_0_5465]) ).

cnf(c_0_5479,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5466]),c_0_5467]),c_0_4954]) ).

cnf(c_0_5480,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(X1))))))
    | ~ 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5468]) ).

cnf(c_0_5481,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5448,c_0_5469]),c_0_4529]),c_0_5470]),c_0_5450]),c_0_4954]) ).

cnf(c_0_5482,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4772,c_0_5471]),c_0_5472]) ).

cnf(c_0_5483,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(g(X1))))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5473,c_0_34]) ).

cnf(c_0_5484,plain,
    ( 'LE'(f(g(g(g(g(g(g(g(X1)))))))),s('0'))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5473,c_0_31]) ).

cnf(c_0_5485,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5474]),c_0_5475]),c_0_4954]) ).

cnf(c_0_5486,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5476]),c_0_5477]) ).

cnf(c_0_5487,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_5478]) ).

cnf(c_0_5488,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_5479]),c_0_5285]) ).

cnf(c_0_5489,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5448,c_0_5480]),c_0_5481]),c_0_4529]),c_0_5450]),c_0_4954]) ).

cnf(c_0_5490,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(X1)))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5482,c_0_5265]),c_0_5399]) ).

cnf(c_0_5491,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(g(X1)))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5483]) ).

cnf(c_0_5492,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(X2))
    | ~ iLEQ(g(g(g(g(g(g(g(X1))))))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_5484]) ).

cnf(c_0_5493,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5485]),c_0_5486]),c_0_5487]) ).

cnf(c_0_5494,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5486]) ).

cnf(c_0_5495,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_5488]) ).

cnf(c_0_5496,plain,
    ( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(X1))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_5489]),c_0_5490]) ).

cnf(c_0_5497,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'('0',f(g(g(g(g(g(g(g(g(g(X1)))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(spm,[status(thm)],[c_0_5491,c_0_34]) ).

cnf(c_0_5498,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(spm,[status(thm)],[c_0_5491,c_0_31]) ).

cnf(c_0_5499,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'('0',f(g(g(g(g(g(g(g(g(X1))))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5492,c_0_34]) ).

cnf(c_0_5500,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'('0',f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(spm,[status(thm)],[c_0_5492,c_0_31]) ).

cnf(c_0_5501,plain,
    ( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5493]) ).

cnf(c_0_5502,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5487]) ).

cnf(c_0_5503,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_5494]),c_0_5495]) ).

cnf(c_0_5504,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5496,c_0_4376]),c_0_5450]) ).

cnf(c_0_5505,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(g(X1)))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5497]),c_0_5498]) ).

cnf(c_0_5506,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s('0'),f(g(g(g(g(g(g(g(X1))))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_5499]),c_0_5500]) ).

cnf(c_0_5507,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_5501]) ).

cnf(c_0_5508,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5502,c_0_5143]),c_0_5285]) ).

cnf(c_0_5509,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1))))))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_5502,c_0_5503]) ).

cnf(c_0_5510,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_5504]),c_0_5328]) ).

cnf(c_0_5511,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s('0')),f(g(g(g(g(g(g(g(X1)))))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1))))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_5505]),c_0_5506]),c_0_4954]) ).

cnf(c_0_5512,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X1)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5507,c_0_5508]),c_0_5509]) ).

cnf(c_0_5513,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X1))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_5510]) ).

cnf(c_0_5514,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X1)))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_5511]),c_0_5488]),c_0_5512]) ).

cnf(c_0_5515,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5490,c_0_5487]),c_0_5247]),c_0_5513]),c_0_5450]) ).

cnf(c_0_5516,plain,
    ( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X1))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X1)))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X1)))))))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(spm,[status(thm)],[c_0_331,c_0_5514]) ).

cnf(c_0_5517,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5515,c_0_5516]),c_0_5247]),c_0_5513]),c_0_5450]) ).

cnf(c_0_5518,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1))
    | ~ 'E'(s(s('0')),f(g(g(g(g(g(X1))))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5515,c_0_5503]),c_0_5450]),c_0_5513]),c_0_5247]) ).

cnf(c_0_5519,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(g(X1))))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5517,c_0_5508]),c_0_5518]),c_0_5247]),c_0_5513]),c_0_5450]) ).

cnf(c_0_5520,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X1)))
    | 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)) ),
    inference(spm,[status(thm)],[c_0_5513,c_0_5510]) ).

cnf(c_0_5521,plain,
    'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_5519]),c_0_5520]) ).

cnf(c_0_5522,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_5521]),c_0_5521])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO631-1 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:00:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.49/21.26  # Version: 3.1.0
% 103.49/21.26  # Preprocessing class: FSLSSMSSSSSNFFN.
% 103.49/21.26  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.49/21.26  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 103.49/21.26  # Starting new_bool_3 with 300s (1) cores
% 103.49/21.26  # Starting new_bool_1 with 300s (1) cores
% 103.49/21.26  # Starting sh5l with 300s (1) cores
% 103.49/21.26  # new_bool_3 with pid 31951 completed with status 8
% 103.49/21.26  # sh5l with pid 31953 completed with status 8
% 103.49/21.26  # new_bool_1 with pid 31952 completed with status 8
% 103.49/21.26  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31950 completed with status 0
% 103.49/21.26  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 103.49/21.26  # Preprocessing class: FSLSSMSSSSSNFFN.
% 103.49/21.26  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.49/21.26  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 103.49/21.26  # No SInE strategy applied
% 103.49/21.26  # Search class: FGUNM-FFMF11-DFFFFFNN
% 103.49/21.26  # partial match(1): FGUNM-FFMF21-DFFFFFNN
% 103.49/21.26  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 103.49/21.26  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 103.49/21.26  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 103.49/21.26  # Starting new_bool_3 with 136s (1) cores
% 103.49/21.26  # Starting new_bool_1 with 136s (1) cores
% 103.49/21.26  # Starting sh5l with 136s (1) cores
% 103.49/21.26  # SAT001_MinMin_p005000_rr_RG with pid 31957 completed with status 0
% 103.49/21.26  # Result found by SAT001_MinMin_p005000_rr_RG
% 103.49/21.26  # Preprocessing class: FSLSSMSSSSSNFFN.
% 103.49/21.26  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 103.49/21.26  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 103.49/21.26  # No SInE strategy applied
% 103.49/21.26  # Search class: FGUNM-FFMF11-DFFFFFNN
% 103.49/21.26  # partial match(1): FGUNM-FFMF21-DFFFFFNN
% 103.49/21.26  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 103.49/21.26  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 103.49/21.26  # Preprocessing time       : 0.002 s
% 103.49/21.26  # Presaturation interreduction done
% 103.49/21.26  
% 103.49/21.26  # Proof found!
% 103.49/21.26  # SZS status Unsatisfiable
% 103.49/21.26  # SZS output start CNFRefutation
% See solution above
% 103.49/21.27  # Parsed axioms                        : 57
% 103.49/21.27  # Removed by relevancy pruning/SinE    : 0
% 103.49/21.27  # Initial clauses                      : 57
% 103.49/21.27  # Removed in clause preprocessing      : 0
% 103.49/21.27  # Initial clauses in saturation        : 57
% 103.49/21.27  # Processed clauses                    : 24847
% 103.49/21.27  # ...of these trivial                  : 72
% 103.49/21.27  # ...subsumed                          : 14504
% 103.49/21.27  # ...remaining for further processing  : 10271
% 103.49/21.27  # Other redundant clauses eliminated   : 0
% 103.49/21.27  # Clauses deleted for lack of memory   : 0
% 103.49/21.27  # Backward-subsumed                    : 9978
% 103.49/21.27  # Backward-rewritten                   : 175
% 103.49/21.27  # Generated clauses                    : 148166
% 103.49/21.27  # ...of the previous two non-redundant : 71575
% 103.49/21.27  # ...aggressively subsumed             : 0
% 103.49/21.27  # Contextual simplify-reflections      : 4721
% 103.49/21.27  # Paramodulations                      : 148166
% 103.49/21.27  # Factorizations                       : 0
% 103.49/21.27  # NegExts                              : 0
% 103.49/21.27  # Equation resolutions                 : 0
% 103.49/21.27  # Disequality decompositions           : 0
% 103.49/21.27  # Total rewrite steps                  : 212
% 103.49/21.27  # ...of those cached                   : 204
% 103.49/21.27  # Propositional unsat checks           : 2
% 103.49/21.27  #    Propositional check models        : 2
% 103.49/21.27  #    Propositional check unsatisfiable : 0
% 103.49/21.27  #    Propositional clauses             : 0
% 103.49/21.27  #    Propositional clauses after purity: 0
% 103.49/21.27  #    Propositional unsat core size     : 0
% 103.49/21.27  #    Propositional preprocessing time  : 0.000
% 103.49/21.27  #    Propositional encoding time       : 0.022
% 103.49/21.27  #    Propositional solver time         : 0.007
% 103.49/21.27  #    Success case prop preproc time    : 0.000
% 103.49/21.27  #    Success case prop encoding time   : 0.000
% 103.49/21.27  #    Success case prop solver time     : 0.000
% 103.49/21.27  # Current number of processed clauses  : 92
% 103.49/21.27  #    Positive orientable unit clauses  : 3
% 103.49/21.27  #    Positive unorientable unit clauses: 0
% 103.49/21.27  #    Negative unit clauses             : 2
% 103.49/21.27  #    Non-unit-clauses                  : 87
% 103.49/21.27  # Current number of unprocessed clauses: 742
% 103.49/21.27  # ...number of literals in the above   : 6830
% 103.49/21.27  # Current number of archived formulas  : 0
% 103.49/21.27  # Current number of archived clauses   : 10179
% 103.49/21.27  # Clause-clause subsumption calls (NU) : 7730627
% 103.49/21.27  # Rec. Clause-clause subsumption calls : 1071687
% 103.49/21.27  # Non-unit clause-clause subsumptions  : 29190
% 103.49/21.27  # Unit Clause-clause subsumption calls : 53
% 103.49/21.27  # Rewrite failures with RHS unbound    : 0
% 103.49/21.27  # BW rewrite match attempts            : 72
% 103.49/21.27  # BW rewrite match successes           : 6
% 103.49/21.27  # Condensation attempts                : 0
% 103.49/21.27  # Condensation successes               : 0
% 103.49/21.27  # Termbank termtop insertions          : 17829992
% 103.49/21.27  # Search garbage collected termcells   : 111
% 103.49/21.27  
% 103.49/21.27  # -------------------------------------------------
% 103.49/21.27  # User time                : 20.693 s
% 103.49/21.27  # System time              : 0.040 s
% 103.49/21.27  # Total time               : 20.733 s
% 103.49/21.27  # Maximum resident set size: 4152 pages
% 103.49/21.27  
% 103.49/21.27  # -------------------------------------------------
% 103.49/21.27  # User time                : 103.462 s
% 103.49/21.27  # System time              : 0.355 s
% 103.49/21.27  # Total time               : 103.817 s
% 103.49/21.27  # Maximum resident set size: 4144 pages
% 103.49/21.27  % E---3.1 exiting
% 103.49/21.27  % E exiting
%------------------------------------------------------------------------------