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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PUZ074+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:01:49 PM UTC 2026

% Result   : Theorem 4.44s 1.12s
% Output   : CNFRefutation 4.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   76
%            Number of leaves      :  222
% Syntax   : Number of formulae    :  963 ( 738 unt;   0 def)
%            Number of atoms       : 17303 (14427 equ)
%            Maximal formula atoms :  361 (  17 avg)
%            Number of connectives : 18669 (2329   ~;11247   |;5019   &)
%                                         (  74 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  184 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   40 (  38 usr;   1 prp; 0-2 aty)
%            Number of functors    :  100 ( 100 usr; 100 con; 0-0 aty)
%            Number of variables   :  308 (   0 sgn 224   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(tlhfof29942,conjecture,
    ~ adj(cell1,cell100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29942) ).

fof(tlhfof24990,axiom,
    ! [X1,X2] :
      ( edge(X2,X1)
    <=> ( ( X1 = cell100
          & X2 = cell90 )
        | ( X1 = cell99
          & X2 = cell89 )
        | ( X1 = cell98
          & X2 = cell88 )
        | ( X1 = cell97
          & X2 = cell87 )
        | ( X1 = cell96
          & X2 = cell86 )
        | ( X1 = cell95
          & X2 = cell85 )
        | ( X1 = cell94
          & X2 = cell84 )
        | ( X1 = cell93
          & X2 = cell83 )
        | ( X1 = cell92
          & X2 = cell82 )
        | ( X1 = cell91
          & X2 = cell81 )
        | ( X1 = cell90
          & X2 = cell80 )
        | ( X1 = cell89
          & X2 = cell79 )
        | ( X1 = cell88
          & X2 = cell78 )
        | ( X1 = cell87
          & X2 = cell77 )
        | ( X1 = cell86
          & X2 = cell76 )
        | ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24990) ).

fof(tlhfof24991,axiom,
    ! [X3,X4] :
      ( adj(X4,X3)
    <=> ( edge(X3,X4)
        | edge(X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24991) ).

fof(tlhfof29941,axiom,
    cell1 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29941) ).

fof(tlhfof26025,axiom,
    cell89 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26025) ).

fof(tlhfof26113,axiom,
    cell88 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26113) ).

fof(tlhfof26200,axiom,
    cell87 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26200) ).

fof(tlhfof26286,axiom,
    cell86 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26286) ).

fof(tlhfof25935,axiom,
    cell90 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25935) ).

fof(tlhfof25090,axiom,
    cell99 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25090) ).

fof(tlhfof25188,axiom,
    cell98 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25188) ).

fof(tlhfof25285,axiom,
    cell97 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25285) ).

fof(tlhfof25381,axiom,
    cell96 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25381) ).

fof(tlhfof26371,axiom,
    cell85 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26371) ).

fof(tlhfof25569,axiom,
    cell94 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25569) ).

fof(tlhfof25662,axiom,
    cell93 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25662) ).

fof(tlhfof25845,axiom,
    cell92 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25845) ).

fof(tlhfof25754,axiom,
    cell91 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25754) ).

fof(tlhfof26370,axiom,
    cell85 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26370) ).

fof(tlhfof25570,axiom,
    cell94 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25570) ).

fof(tlhfof25663,axiom,
    cell93 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25663) ).

fof(tlhfof25846,axiom,
    cell92 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25846) ).

fof(tlhfof25755,axiom,
    cell91 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25755) ).

fof(tlhfof26781,axiom,
    cell80 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26781) ).

fof(tlhfof26024,axiom,
    cell89 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26024) ).

fof(tlhfof26112,axiom,
    cell88 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26112) ).

fof(tlhfof26199,axiom,
    cell87 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26199) ).

fof(tlhfof26285,axiom,
    cell86 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26285) ).

fof(tlhfof26780,axiom,
    cell80 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26780) ).

fof(tlhfof27166,axiom,
    cell75 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27166) ).

fof(tlhfof26454,axiom,
    cell84 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26454) ).

fof(tlhfof26537,axiom,
    cell83 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26537) ).

fof(tlhfof26700,axiom,
    cell82 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26700) ).

fof(tlhfof26619,axiom,
    cell81 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26619) ).

fof(tlhfof27165,axiom,
    cell75 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27165) ).

fof(tlhfof26455,axiom,
    cell84 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26455) ).

fof(tlhfof26538,axiom,
    cell83 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26538) ).

fof(tlhfof26701,axiom,
    cell82 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26701) ).

fof(tlhfof26620,axiom,
    cell81 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26620) ).

fof(tlhfof27595,axiom,
    cell69 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27595) ).

fof(tlhfof27663,axiom,
    cell68 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27663) ).

fof(tlhfof27730,axiom,
    cell67 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27730) ).

fof(tlhfof27796,axiom,
    cell66 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27796) ).

fof(tlhfof27594,axiom,
    cell69 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27594) ).

fof(tlhfof27662,axiom,
    cell68 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27662) ).

fof(tlhfof27729,axiom,
    cell67 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27729) ).

fof(tlhfof27795,axiom,
    cell66 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27795) ).

fof(tlhfof27925,axiom,
    cell64 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27925) ).

fof(tlhfof27988,axiom,
    cell63 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27988) ).

fof(tlhfof28111,axiom,
    cell62 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28111) ).

fof(tlhfof28050,axiom,
    cell61 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28050) ).

fof(tlhfof27924,axiom,
    cell64 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27924) ).

fof(tlhfof27987,axiom,
    cell63 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27987) ).

fof(tlhfof28110,axiom,
    cell62 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28110) ).

fof(tlhfof28049,axiom,
    cell61 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28049) ).

fof(tlhfof27525,axiom,
    cell70 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27525) ).

fof(tlhfof28230,axiom,
    cell59 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28230) ).

fof(tlhfof28288,axiom,
    cell58 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28288) ).

fof(tlhfof28345,axiom,
    cell57 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28345) ).

fof(tlhfof28401,axiom,
    cell56 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28401) ).

fof(tlhfof27526,axiom,
    cell70 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27526) ).

fof(tlhfof28229,axiom,
    cell59 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28229) ).

fof(tlhfof28287,axiom,
    cell58 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28287) ).

fof(tlhfof28344,axiom,
    cell57 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28344) ).

fof(tlhfof28400,axiom,
    cell56 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28400) ).

fof(tlhfof27860,axiom,
    cell65 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27860) ).

fof(tlhfof28510,axiom,
    cell54 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28510) ).

fof(tlhfof28563,axiom,
    cell53 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28563) ).

fof(tlhfof28666,axiom,
    cell52 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28666) ).

fof(tlhfof28615,axiom,
    cell51 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28615) ).

fof(tlhfof27861,axiom,
    cell65 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27861) ).

fof(tlhfof28509,axiom,
    cell54 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28509) ).

fof(tlhfof28562,axiom,
    cell53 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28562) ).

fof(tlhfof28665,axiom,
    cell52 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28665) ).

fof(tlhfof28614,axiom,
    cell51 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28614) ).

fof(tlhfof28170,axiom,
    cell60 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28170) ).

fof(tlhfof28765,axiom,
    cell49 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28765) ).

fof(tlhfof28813,axiom,
    cell48 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28813) ).

fof(tlhfof28860,axiom,
    cell47 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28860) ).

fof(tlhfof28906,axiom,
    cell46 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28906) ).

fof(tlhfof28171,axiom,
    cell60 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28171) ).

fof(tlhfof28764,axiom,
    cell49 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28764) ).

fof(tlhfof28812,axiom,
    cell48 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28812) ).

fof(tlhfof28859,axiom,
    cell47 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28859) ).

fof(tlhfof28905,axiom,
    cell46 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28905) ).

fof(tlhfof28455,axiom,
    cell55 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28455) ).

fof(tlhfof28995,axiom,
    cell44 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28995) ).

fof(tlhfof29038,axiom,
    cell43 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29038) ).

fof(tlhfof29121,axiom,
    cell42 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29121) ).

fof(tlhfof29080,axiom,
    cell41 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29080) ).

fof(tlhfof28456,axiom,
    cell55 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28456) ).

fof(tlhfof28994,axiom,
    cell44 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28994) ).

fof(tlhfof29037,axiom,
    cell43 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29037) ).

fof(tlhfof29120,axiom,
    cell42 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29120) ).

fof(tlhfof29079,axiom,
    cell41 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29079) ).

fof(tlhfof29161,axiom,
    cell40 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29161) ).

fof(tlhfof29160,axiom,
    cell40 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29160) ).

fof(tlhfof28950,axiom,
    cell45 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28950) ).

fof(tlhfof29380,axiom,
    cell34 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29380) ).

fof(tlhfof29413,axiom,
    cell33 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29413) ).

fof(tlhfof29476,axiom,
    cell32 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29476) ).

fof(tlhfof29445,axiom,
    cell31 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29445) ).

fof(tlhfof28951,axiom,
    cell45 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28951) ).

fof(tlhfof29379,axiom,
    cell34 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29379) ).

fof(tlhfof29412,axiom,
    cell33 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29412) ).

fof(tlhfof29475,axiom,
    cell32 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29475) ).

fof(tlhfof29444,axiom,
    cell31 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29444) ).

fof(tlhfof29535,axiom,
    cell29 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29535) ).

fof(tlhfof29563,axiom,
    cell28 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29563) ).

fof(tlhfof29590,axiom,
    cell27 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29590) ).

fof(tlhfof29616,axiom,
    cell26 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29616) ).

fof(tlhfof29534,axiom,
    cell29 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29534) ).

fof(tlhfof29562,axiom,
    cell28 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29562) ).

fof(tlhfof29589,axiom,
    cell27 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29589) ).

fof(tlhfof29615,axiom,
    cell26 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29615) ).

fof(tlhfof29345,axiom,
    cell35 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29345) ).

fof(tlhfof29665,axiom,
    cell24 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29665) ).

fof(tlhfof29688,axiom,
    cell23 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29688) ).

fof(tlhfof29731,axiom,
    cell22 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29731) ).

fof(tlhfof29710,axiom,
    cell21 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29710) ).

fof(tlhfof29346,axiom,
    cell35 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29346) ).

fof(tlhfof29664,axiom,
    cell24 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29664) ).

fof(tlhfof29687,axiom,
    cell23 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29687) ).

fof(tlhfof29730,axiom,
    cell22 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29730) ).

fof(tlhfof29709,axiom,
    cell21 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29709) ).

fof(tlhfof29751,axiom,
    cell20 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29751) ).

fof(tlhfof29750,axiom,
    cell20 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29750) ).

fof(tlhfof29640,axiom,
    cell25 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29640) ).

fof(tlhfof29850,axiom,
    cell14 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29850) ).

fof(tlhfof29863,axiom,
    cell13 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29863) ).

fof(tlhfof29886,axiom,
    cell12 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29886) ).

fof(tlhfof29875,axiom,
    cell11 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29875) ).

fof(tlhfof29641,axiom,
    cell25 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29641) ).

fof(tlhfof29849,axiom,
    cell14 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29849) ).

fof(tlhfof29862,axiom,
    cell13 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29862) ).

fof(tlhfof29885,axiom,
    cell12 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29885) ).

fof(tlhfof29874,axiom,
    cell11 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29874) ).

fof(tlhfof29905,axiom,
    cell9 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29905) ).

fof(tlhfof29913,axiom,
    cell8 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29913) ).

fof(tlhfof29920,axiom,
    cell7 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29920) ).

fof(tlhfof29926,axiom,
    cell6 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29926) ).

fof(tlhfof29904,axiom,
    cell9 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29904) ).

fof(tlhfof29912,axiom,
    cell8 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29912) ).

fof(tlhfof29919,axiom,
    cell7 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29919) ).

fof(tlhfof29925,axiom,
    cell6 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29925) ).

fof(tlhfof29835,axiom,
    cell15 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29835) ).

fof(tlhfof29935,axiom,
    cell4 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29935) ).

fof(tlhfof29938,axiom,
    cell3 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29938) ).

fof(tlhfof29940,axiom,
    cell2 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29940) ).

fof(tlhfof29836,axiom,
    cell15 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29836) ).

fof(tlhfof29934,axiom,
    cell4 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29934) ).

fof(tlhfof29937,axiom,
    cell3 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29937) ).

fof(tlhfof29939,axiom,
    cell2 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29939) ).

fof(tlhfof25476,axiom,
    cell95 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25476) ).

fof(tlhfof25089,axiom,
    cell99 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25089) ).

fof(tlhfof25936,axiom,
    cell90 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25936) ).

fof(tlhfof26859,axiom,
    cell79 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26859) ).

fof(tlhfof26860,axiom,
    cell79 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26860) ).

fof(tlhfof27015,axiom,
    cell77 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27015) ).

fof(tlhfof27014,axiom,
    cell77 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27014) ).

fof(tlhfof27090,axiom,
    cell76 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27090) ).

fof(tlhfof27239,axiom,
    cell74 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27239) ).

fof(tlhfof27091,axiom,
    cell76 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27091) ).

fof(tlhfof27240,axiom,
    cell74 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27240) ).

fof(tlhfof27312,axiom,
    cell73 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27312) ).

fof(tlhfof27385,axiom,
    cell71 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27385) ).

fof(tlhfof27313,axiom,
    cell73 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27313) ).

fof(tlhfof27384,axiom,
    cell71 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27384) ).

fof(tlhfof29200,axiom,
    cell39 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29200) ).

fof(tlhfof29199,axiom,
    cell39 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29199) ).

fof(tlhfof29238,axiom,
    cell38 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29238) ).

fof(tlhfof29237,axiom,
    cell38 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29237) ).

fof(tlhfof29274,axiom,
    cell37 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29274) ).

fof(tlhfof29310,axiom,
    cell36 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29310) ).

fof(tlhfof29275,axiom,
    cell37 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29275) ).

fof(tlhfof29311,axiom,
    cell36 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29311) ).

fof(tlhfof29505,axiom,
    cell30 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29505) ).

fof(tlhfof29506,axiom,
    cell30 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29506) ).

fof(tlhfof29769,axiom,
    cell19 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29769) ).

fof(tlhfof29787,axiom,
    cell18 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29787) ).

fof(tlhfof29770,axiom,
    cell19 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29770) ).

fof(tlhfof29788,axiom,
    cell18 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29788) ).

fof(tlhfof29821,axiom,
    cell16 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29821) ).

fof(tlhfof29820,axiom,
    cell16 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29820) ).

fof(tlhfof29930,axiom,
    cell5 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29930) ).

fof(tlhfof29931,axiom,
    cell5 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29931) ).

fof(c_0_186,plain,
    ! [X2,X1] :
      ( epred36_2(X1,X2)
    <=> ( ( X1 = cell100
          & X2 = cell90 )
        | ( X1 = cell99
          & X2 = cell89 )
        | ( X1 = cell98
          & X2 = cell88 )
        | ( X1 = cell97
          & X2 = cell87 )
        | ( X1 = cell96
          & X2 = cell86 )
        | ( X1 = cell95
          & X2 = cell85 )
        | ( X1 = cell94
          & X2 = cell84 )
        | ( X1 = cell93
          & X2 = cell83 )
        | ( X1 = cell92
          & X2 = cell82 )
        | ( X1 = cell91
          & X2 = cell81 )
        | ( X1 = cell90
          & X2 = cell80 )
        | ( X1 = cell89
          & X2 = cell79 )
        | ( X1 = cell88
          & X2 = cell78 )
        | ( X1 = cell87
          & X2 = cell77 )
        | ( X1 = cell86
          & X2 = cell76 )
        | ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_187,negated_conjecture,
    ~ ~ adj(cell1,cell100),
    inference(assume_negation,[status(cth)],[tlhfof29942]) ).

fof(c_0_188,axiom,
    ! [X1,X2] :
      ( edge(X2,X1)
    <=> epred36_2(X1,X2) ),
    inference(apply_def,[status(thm)],[tlhfof24990,c_0_186]) ).

fof(c_0_189,plain,
    ! [X7,X8] :
      ( ( adj(X8,X7)
        | ~ edge(X7,X8) )
      & ( adj(X8,X7)
        | ~ edge(X8,X7) )
      & ( edge(X7,X8)
        | edge(X8,X7)
        | ~ adj(X8,X7) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof24991])])])]) ).

fof(c_0_190,negated_conjecture,
    adj(cell1,cell100),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_191,plain,
    ! [X2,X1] :
      ( epred35_2(X1,X2)
    <=> ( ( X1 = cell95
          & X2 = cell85 )
        | ( X1 = cell94
          & X2 = cell84 )
        | ( X1 = cell93
          & X2 = cell83 )
        | ( X1 = cell92
          & X2 = cell82 )
        | ( X1 = cell91
          & X2 = cell81 )
        | ( X1 = cell90
          & X2 = cell80 )
        | ( X1 = cell89
          & X2 = cell79 )
        | ( X1 = cell88
          & X2 = cell78 )
        | ( X1 = cell87
          & X2 = cell77 )
        | ( X1 = cell86
          & X2 = cell76 )
        | ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_192,plain,
    ! [X5,X6] :
      ( ( edge(X6,X5)
        | ~ epred36_2(X5,X6) )
      & ( epred36_2(X5,X6)
        | ~ edge(X6,X5) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_188])])]) ).

cnf(c_0_193,plain,
    ( ~ adj(X1,X2)
    | edge(X2,X1)
    | edge(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_194,negated_conjecture,
    adj(cell1,cell100),
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

fof(c_0_195,plain,
    ! [X2,X1] :
      ( epred36_2(X1,X2)
    <=> ( ( X1 = cell100
          & X2 = cell90 )
        | ( X1 = cell99
          & X2 = cell89 )
        | ( X1 = cell98
          & X2 = cell88 )
        | ( X1 = cell97
          & X2 = cell87 )
        | ( X1 = cell96
          & X2 = cell86 )
        | epred35_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_186,c_0_191]) ).

cnf(c_0_196,plain,
    ( ~ edge(X1,X2)
    | epred36_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_197,negated_conjecture,
    ( edge(cell1,cell100)
    | edge(cell100,cell1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

fof(c_0_198,plain,
    cell1 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29941]) ).

fof(c_0_199,plain,
    cell89 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26025]) ).

fof(c_0_200,plain,
    cell88 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26113]) ).

fof(c_0_201,plain,
    cell87 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26200]) ).

fof(c_0_202,plain,
    cell86 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26286]) ).

fof(c_0_203,plain,
    ! [X2,X1] :
      ( epred34_2(X1,X2)
    <=> ( ( X1 = cell90
          & X2 = cell80 )
        | ( X1 = cell89
          & X2 = cell79 )
        | ( X1 = cell88
          & X2 = cell78 )
        | ( X1 = cell87
          & X2 = cell77 )
        | ( X1 = cell86
          & X2 = cell76 )
        | ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_204,plain,
    ! [X79,X80] :
      ( ( epred36_2(X80,X79)
        | X80 != cell100
        | X79 != cell90 )
      & ( epred36_2(X80,X79)
        | X80 != cell99
        | X79 != cell89 )
      & ( epred36_2(X80,X79)
        | X80 != cell98
        | X79 != cell88 )
      & ( epred36_2(X80,X79)
        | X80 != cell97
        | X79 != cell87 )
      & ( epred36_2(X80,X79)
        | X80 != cell96
        | X79 != cell86 )
      & ( epred36_2(X80,X79)
        | ~ epred35_2(X80,X79) )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X80 = cell98
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X80 = cell98
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X80 = cell98
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X80 = cell98
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X79 = cell88
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X79 = cell88
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X79 = cell88
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X80 = cell97
        | X79 = cell88
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X80 = cell98
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X80 = cell98
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X80 = cell98
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X80 = cell98
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X79 = cell88
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X79 = cell88
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X79 = cell88
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X80 = cell96
        | X79 = cell87
        | X79 = cell88
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X80 = cell98
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X80 = cell98
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X80 = cell98
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X80 = cell98
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X79 = cell88
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X79 = cell88
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X79 = cell88
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X80 = cell97
        | X79 = cell88
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X80 = cell98
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X80 = cell98
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X80 = cell98
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X80 = cell98
        | X79 = cell89
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X79 = cell88
        | X80 = cell99
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X79 = cell88
        | X80 = cell99
        | X79 = cell90 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X79 = cell88
        | X79 = cell89
        | X80 = cell100 )
      & ( ~ epred36_2(X80,X79)
        | epred35_2(X80,X79)
        | X79 = cell86
        | X79 = cell87
        | X79 = cell88
        | X79 = cell89
        | X79 = cell90 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_195])])])]) ).

cnf(c_0_205,negated_conjecture,
    ( edge(cell100,cell1)
    | epred36_2(cell100,cell1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

fof(c_0_206,plain,
    cell1 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_198]) ).

fof(c_0_207,plain,
    cell89 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_199]) ).

fof(c_0_208,plain,
    cell88 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_200]) ).

fof(c_0_209,plain,
    cell87 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_201]) ).

fof(c_0_210,plain,
    cell86 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_202]) ).

fof(c_0_211,plain,
    cell90 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25935]) ).

fof(c_0_212,plain,
    cell99 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25090]) ).

fof(c_0_213,plain,
    cell98 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25188]) ).

fof(c_0_214,plain,
    cell97 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25285]) ).

fof(c_0_215,plain,
    cell96 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25381]) ).

fof(c_0_216,plain,
    ! [X2,X1] :
      ( epred35_2(X1,X2)
    <=> ( ( X1 = cell95
          & X2 = cell85 )
        | ( X1 = cell94
          & X2 = cell84 )
        | ( X1 = cell93
          & X2 = cell83 )
        | ( X1 = cell92
          & X2 = cell82 )
        | ( X1 = cell91
          & X2 = cell81 )
        | epred34_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_191,c_0_203]) ).

cnf(c_0_217,plain,
    ( ~ epred36_2(X1,X2)
    | epred35_2(X1,X2)
    | X2 = cell86
    | X2 = cell87
    | X2 = cell88
    | X2 = cell89
    | X1 = cell100 ),
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_218,negated_conjecture,
    ( epred36_2(cell1,cell100)
    | epred36_2(cell100,cell1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_205]) ).

cnf(c_0_219,plain,
    cell1 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_206]) ).

cnf(c_0_220,plain,
    cell89 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_207]) ).

cnf(c_0_221,plain,
    cell88 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_208]) ).

cnf(c_0_222,plain,
    cell87 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_223,plain,
    cell86 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_210]) ).

fof(c_0_224,plain,
    cell90 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_211]) ).

fof(c_0_225,plain,
    cell99 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_212]) ).

fof(c_0_226,plain,
    cell98 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_213]) ).

fof(c_0_227,plain,
    cell97 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_214]) ).

fof(c_0_228,plain,
    cell96 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_215]) ).

fof(c_0_229,plain,
    cell85 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26371]) ).

fof(c_0_230,plain,
    cell94 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25569]) ).

fof(c_0_231,plain,
    cell93 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25662]) ).

fof(c_0_232,plain,
    cell92 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25845]) ).

fof(c_0_233,plain,
    cell91 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25754]) ).

fof(c_0_234,plain,
    ! [X2,X1] :
      ( epred33_2(X1,X2)
    <=> ( ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_235,plain,
    ! [X77,X78] :
      ( ( epred35_2(X78,X77)
        | X78 != cell95
        | X77 != cell85 )
      & ( epred35_2(X78,X77)
        | X78 != cell94
        | X77 != cell84 )
      & ( epred35_2(X78,X77)
        | X78 != cell93
        | X77 != cell83 )
      & ( epred35_2(X78,X77)
        | X78 != cell92
        | X77 != cell82 )
      & ( epred35_2(X78,X77)
        | X78 != cell91
        | X77 != cell81 )
      & ( epred35_2(X78,X77)
        | ~ epred34_2(X78,X77) )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X78 = cell93
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X78 = cell93
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X78 = cell93
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X78 = cell93
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X77 = cell83
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X77 = cell83
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X77 = cell83
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X78 = cell92
        | X77 = cell83
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X78 = cell93
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X78 = cell93
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X78 = cell93
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X78 = cell93
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X77 = cell83
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X77 = cell83
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X77 = cell83
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X78 = cell91
        | X77 = cell82
        | X77 = cell83
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X78 = cell93
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X78 = cell93
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X78 = cell93
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X78 = cell93
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X77 = cell83
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X77 = cell83
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X77 = cell83
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X78 = cell92
        | X77 = cell83
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X78 = cell93
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X78 = cell93
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X78 = cell93
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X78 = cell93
        | X77 = cell84
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X77 = cell83
        | X78 = cell94
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X77 = cell83
        | X78 = cell94
        | X77 = cell85 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X77 = cell83
        | X77 = cell84
        | X78 = cell95 )
      & ( ~ epred35_2(X78,X77)
        | epred34_2(X78,X77)
        | X77 = cell81
        | X77 = cell82
        | X77 = cell83
        | X77 = cell84
        | X77 = cell85 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_216])])])]) ).

cnf(c_0_236,plain,
    ( ~ epred36_2(X2,X1)
    | epred35_2(X2,X1)
    | X2 = cell96
    | X2 = cell97
    | X2 = cell98
    | X2 = cell99
    | X1 = cell90 ),
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_237,negated_conjecture,
    ( epred35_2(cell1,cell100)
    | epred36_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_220]),c_0_221]),c_0_222]),c_0_223]) ).

cnf(c_0_238,plain,
    cell90 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_224]) ).

cnf(c_0_239,plain,
    cell99 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_225]) ).

cnf(c_0_240,plain,
    cell98 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_226]) ).

cnf(c_0_241,plain,
    cell97 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_227]) ).

cnf(c_0_242,plain,
    cell96 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_228]) ).

fof(c_0_243,plain,
    cell85 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_229]) ).

fof(c_0_244,plain,
    cell94 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_230]) ).

fof(c_0_245,plain,
    cell93 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_231]) ).

fof(c_0_246,plain,
    cell92 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_232]) ).

fof(c_0_247,plain,
    cell91 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_233]) ).

fof(c_0_248,plain,
    cell85 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26370]) ).

fof(c_0_249,plain,
    cell94 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25570]) ).

fof(c_0_250,plain,
    cell93 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25663]) ).

fof(c_0_251,plain,
    cell92 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25846]) ).

fof(c_0_252,plain,
    cell91 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25755]) ).

fof(c_0_253,plain,
    ! [X2,X1] :
      ( epred34_2(X1,X2)
    <=> ( ( X1 = cell90
          & X2 = cell80 )
        | ( X1 = cell89
          & X2 = cell79 )
        | ( X1 = cell88
          & X2 = cell78 )
        | ( X1 = cell87
          & X2 = cell77 )
        | ( X1 = cell86
          & X2 = cell76 )
        | epred33_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_203,c_0_234]) ).

cnf(c_0_254,plain,
    ( ~ epred35_2(X2,X1)
    | epred34_2(X2,X1)
    | X2 = cell91
    | X2 = cell92
    | X2 = cell93
    | X2 = cell94
    | X1 = cell85 ),
    inference(split_conjunct,[status(thm)],[c_0_235]) ).

cnf(c_0_255,negated_conjecture,
    ( epred35_2(cell100,cell1)
    | epred35_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_239]),c_0_240]),c_0_241]),c_0_242]) ).

cnf(c_0_256,plain,
    cell85 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_243]) ).

cnf(c_0_257,plain,
    cell94 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_244]) ).

cnf(c_0_258,plain,
    cell93 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_245]) ).

cnf(c_0_259,plain,
    cell92 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_246]) ).

cnf(c_0_260,plain,
    cell91 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_247]) ).

fof(c_0_261,plain,
    cell85 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_248]) ).

fof(c_0_262,plain,
    cell94 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_249]) ).

fof(c_0_263,plain,
    cell93 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_250]) ).

fof(c_0_264,plain,
    cell92 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_251]) ).

fof(c_0_265,plain,
    cell91 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_252]) ).

fof(c_0_266,plain,
    cell80 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26781]) ).

fof(c_0_267,plain,
    cell89 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26024]) ).

fof(c_0_268,plain,
    cell88 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26112]) ).

fof(c_0_269,plain,
    cell87 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26199]) ).

fof(c_0_270,plain,
    cell86 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26285]) ).

fof(c_0_271,plain,
    ! [X2,X1] :
      ( epred32_2(X1,X2)
    <=> ( ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_272,plain,
    ! [X75,X76] :
      ( ( epred34_2(X76,X75)
        | X76 != cell90
        | X75 != cell80 )
      & ( epred34_2(X76,X75)
        | X76 != cell89
        | X75 != cell79 )
      & ( epred34_2(X76,X75)
        | X76 != cell88
        | X75 != cell78 )
      & ( epred34_2(X76,X75)
        | X76 != cell87
        | X75 != cell77 )
      & ( epred34_2(X76,X75)
        | X76 != cell86
        | X75 != cell76 )
      & ( epred34_2(X76,X75)
        | ~ epred33_2(X76,X75) )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X76 = cell88
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X76 = cell88
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X76 = cell88
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X76 = cell88
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X75 = cell78
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X75 = cell78
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X75 = cell78
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X76 = cell87
        | X75 = cell78
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X76 = cell88
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X76 = cell88
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X76 = cell88
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X76 = cell88
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X75 = cell78
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X75 = cell78
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X75 = cell78
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X76 = cell86
        | X75 = cell77
        | X75 = cell78
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X76 = cell88
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X76 = cell88
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X76 = cell88
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X76 = cell88
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X75 = cell78
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X75 = cell78
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X75 = cell78
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X76 = cell87
        | X75 = cell78
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X76 = cell88
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X76 = cell88
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X76 = cell88
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X76 = cell88
        | X75 = cell79
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X75 = cell78
        | X76 = cell89
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X75 = cell78
        | X76 = cell89
        | X75 = cell80 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X75 = cell78
        | X75 = cell79
        | X76 = cell90 )
      & ( ~ epred34_2(X76,X75)
        | epred33_2(X76,X75)
        | X75 = cell76
        | X75 = cell77
        | X75 = cell78
        | X75 = cell79
        | X75 = cell80 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_253])])])]) ).

cnf(c_0_273,plain,
    ( epred34_2(cell1,cell100)
    | epred35_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_274,plain,
    cell85 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_275,plain,
    cell94 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_276,plain,
    cell93 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_263]) ).

cnf(c_0_277,plain,
    cell92 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_278,plain,
    cell91 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_265]) ).

fof(c_0_279,plain,
    cell80 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_266]) ).

fof(c_0_280,plain,
    cell89 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_267]) ).

fof(c_0_281,plain,
    cell88 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_268]) ).

fof(c_0_282,plain,
    cell87 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_269]) ).

fof(c_0_283,plain,
    cell86 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_270]) ).

fof(c_0_284,plain,
    cell80 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26780]) ).

fof(c_0_285,plain,
    ! [X2,X1] :
      ( epred33_2(X1,X2)
    <=> ( ( X1 = cell85
          & X2 = cell75 )
        | ( X1 = cell84
          & X2 = cell74 )
        | ( X1 = cell83
          & X2 = cell73 )
        | ( X1 = cell82
          & X2 = cell72 )
        | ( X1 = cell81
          & X2 = cell71 )
        | epred32_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_234,c_0_271]) ).

cnf(c_0_286,plain,
    ( ~ epred34_2(X2,X1)
    | epred33_2(X2,X1)
    | X2 = cell86
    | X2 = cell87
    | X2 = cell88
    | X2 = cell89
    | X1 = cell80 ),
    inference(split_conjunct,[status(thm)],[c_0_272]) ).

cnf(c_0_287,plain,
    ( epred34_2(cell100,cell1)
    | epred34_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_273]),c_0_274]),c_0_275]),c_0_276]),c_0_277]),c_0_278]) ).

cnf(c_0_288,plain,
    cell80 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_289,plain,
    cell89 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_290,plain,
    cell88 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_291,plain,
    cell87 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_282]) ).

cnf(c_0_292,plain,
    cell86 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

fof(c_0_293,plain,
    cell80 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_284]) ).

fof(c_0_294,plain,
    cell75 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27166]) ).

fof(c_0_295,plain,
    cell84 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26454]) ).

fof(c_0_296,plain,
    cell83 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26537]) ).

fof(c_0_297,plain,
    cell82 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26700]) ).

fof(c_0_298,plain,
    cell81 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26619]) ).

fof(c_0_299,plain,
    ! [X2,X1] :
      ( epred31_2(X1,X2)
    <=> ( ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_300,plain,
    ! [X73,X74] :
      ( ( epred33_2(X74,X73)
        | X74 != cell85
        | X73 != cell75 )
      & ( epred33_2(X74,X73)
        | X74 != cell84
        | X73 != cell74 )
      & ( epred33_2(X74,X73)
        | X74 != cell83
        | X73 != cell73 )
      & ( epred33_2(X74,X73)
        | X74 != cell82
        | X73 != cell72 )
      & ( epred33_2(X74,X73)
        | X74 != cell81
        | X73 != cell71 )
      & ( epred33_2(X74,X73)
        | ~ epred32_2(X74,X73) )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X74 = cell83
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X74 = cell83
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X74 = cell83
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X74 = cell83
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X73 = cell73
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X73 = cell73
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X73 = cell73
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X74 = cell82
        | X73 = cell73
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X74 = cell83
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X74 = cell83
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X74 = cell83
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X74 = cell83
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X73 = cell73
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X73 = cell73
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X73 = cell73
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X74 = cell81
        | X73 = cell72
        | X73 = cell73
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X74 = cell83
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X74 = cell83
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X74 = cell83
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X74 = cell83
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X73 = cell73
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X73 = cell73
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X73 = cell73
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X74 = cell82
        | X73 = cell73
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X74 = cell83
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X74 = cell83
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X74 = cell83
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X74 = cell83
        | X73 = cell74
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X73 = cell73
        | X74 = cell84
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X73 = cell73
        | X74 = cell84
        | X73 = cell75 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X73 = cell73
        | X73 = cell74
        | X74 = cell85 )
      & ( ~ epred33_2(X74,X73)
        | epred32_2(X74,X73)
        | X73 = cell71
        | X73 = cell72
        | X73 = cell73
        | X73 = cell74
        | X73 = cell75 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_285])])])]) ).

cnf(c_0_301,plain,
    ( epred33_2(cell1,cell100)
    | epred34_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]),c_0_289]),c_0_290]),c_0_291]),c_0_292]) ).

cnf(c_0_302,plain,
    cell80 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

fof(c_0_303,plain,
    cell75 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_294]) ).

fof(c_0_304,plain,
    cell84 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_295]) ).

fof(c_0_305,plain,
    cell83 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_296]) ).

fof(c_0_306,plain,
    cell82 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_297]) ).

fof(c_0_307,plain,
    cell81 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_298]) ).

fof(c_0_308,plain,
    cell75 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27165]) ).

fof(c_0_309,plain,
    cell84 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26455]) ).

fof(c_0_310,plain,
    cell83 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26538]) ).

fof(c_0_311,plain,
    cell82 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26701]) ).

fof(c_0_312,plain,
    cell81 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26620]) ).

fof(c_0_313,plain,
    ! [X2,X1] :
      ( epred32_2(X1,X2)
    <=> ( ( X1 = cell80
          & X2 = cell70 )
        | ( X1 = cell79
          & X2 = cell69 )
        | ( X1 = cell78
          & X2 = cell68 )
        | ( X1 = cell77
          & X2 = cell67 )
        | ( X1 = cell76
          & X2 = cell66 )
        | epred31_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_271,c_0_299]) ).

cnf(c_0_314,plain,
    ( ~ epred33_2(X2,X1)
    | epred32_2(X2,X1)
    | X2 = cell81
    | X2 = cell82
    | X2 = cell83
    | X2 = cell84
    | X1 = cell75 ),
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_315,plain,
    ( epred33_2(cell100,cell1)
    | epred33_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_301]),c_0_302]),c_0_220]),c_0_221]),c_0_222]),c_0_223]) ).

cnf(c_0_316,plain,
    cell75 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_317,plain,
    cell84 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_318,plain,
    cell83 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_319,plain,
    cell82 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_320,plain,
    cell81 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

fof(c_0_321,plain,
    cell75 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_308]) ).

fof(c_0_322,plain,
    cell84 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_309]) ).

fof(c_0_323,plain,
    cell83 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_310]) ).

fof(c_0_324,plain,
    cell82 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_311]) ).

fof(c_0_325,plain,
    cell81 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_312]) ).

fof(c_0_326,plain,
    cell69 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27595]) ).

fof(c_0_327,plain,
    cell68 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27663]) ).

fof(c_0_328,plain,
    cell67 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27730]) ).

fof(c_0_329,plain,
    cell66 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27796]) ).

fof(c_0_330,plain,
    ! [X2,X1] :
      ( epred30_2(X1,X2)
    <=> ( ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_331,plain,
    ! [X71,X72] :
      ( ( epred32_2(X72,X71)
        | X72 != cell80
        | X71 != cell70 )
      & ( epred32_2(X72,X71)
        | X72 != cell79
        | X71 != cell69 )
      & ( epred32_2(X72,X71)
        | X72 != cell78
        | X71 != cell68 )
      & ( epred32_2(X72,X71)
        | X72 != cell77
        | X71 != cell67 )
      & ( epred32_2(X72,X71)
        | X72 != cell76
        | X71 != cell66 )
      & ( epred32_2(X72,X71)
        | ~ epred31_2(X72,X71) )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X72 = cell78
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X72 = cell78
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X72 = cell78
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X72 = cell78
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X71 = cell68
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X71 = cell68
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X71 = cell68
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X72 = cell77
        | X71 = cell68
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X72 = cell78
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X72 = cell78
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X72 = cell78
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X72 = cell78
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X71 = cell68
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X71 = cell68
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X71 = cell68
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X72 = cell76
        | X71 = cell67
        | X71 = cell68
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X72 = cell78
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X72 = cell78
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X72 = cell78
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X72 = cell78
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X71 = cell68
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X71 = cell68
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X71 = cell68
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X72 = cell77
        | X71 = cell68
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X72 = cell78
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X72 = cell78
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X72 = cell78
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X72 = cell78
        | X71 = cell69
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X71 = cell68
        | X72 = cell79
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X71 = cell68
        | X72 = cell79
        | X71 = cell70 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X71 = cell68
        | X71 = cell69
        | X72 = cell80 )
      & ( ~ epred32_2(X72,X71)
        | epred31_2(X72,X71)
        | X71 = cell66
        | X71 = cell67
        | X71 = cell68
        | X71 = cell69
        | X71 = cell70 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_313])])])]) ).

cnf(c_0_332,plain,
    ( epred32_2(cell1,cell100)
    | epred33_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),c_0_317]),c_0_318]),c_0_319]),c_0_320]) ).

cnf(c_0_333,plain,
    cell75 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_334,plain,
    cell84 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_335,plain,
    cell83 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_336,plain,
    cell82 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_337,plain,
    cell81 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

fof(c_0_338,plain,
    cell69 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_326]) ).

fof(c_0_339,plain,
    cell68 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_327]) ).

fof(c_0_340,plain,
    cell67 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_328]) ).

fof(c_0_341,plain,
    cell66 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_329]) ).

fof(c_0_342,plain,
    cell69 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27594]) ).

fof(c_0_343,plain,
    cell68 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27662]) ).

fof(c_0_344,plain,
    cell67 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27729]) ).

fof(c_0_345,plain,
    cell66 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27795]) ).

fof(c_0_346,plain,
    ! [X2,X1] :
      ( epred31_2(X1,X2)
    <=> ( ( X1 = cell75
          & X2 = cell65 )
        | ( X1 = cell74
          & X2 = cell64 )
        | ( X1 = cell73
          & X2 = cell63 )
        | ( X1 = cell72
          & X2 = cell62 )
        | ( X1 = cell71
          & X2 = cell61 )
        | epred30_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_299,c_0_330]) ).

cnf(c_0_347,plain,
    ( ~ epred32_2(X1,X2)
    | epred31_2(X1,X2)
    | X2 = cell66
    | X2 = cell67
    | X2 = cell68
    | X2 = cell69
    | X1 = cell80 ),
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_348,plain,
    ( epred32_2(cell100,cell1)
    | epred32_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_332]),c_0_333]),c_0_334]),c_0_335]),c_0_336]),c_0_337]) ).

cnf(c_0_349,plain,
    cell69 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_350,plain,
    cell68 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_351,plain,
    cell67 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_352,plain,
    cell66 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

fof(c_0_353,plain,
    cell69 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_342]) ).

fof(c_0_354,plain,
    cell68 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_343]) ).

fof(c_0_355,plain,
    cell67 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_344]) ).

fof(c_0_356,plain,
    cell66 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_345]) ).

fof(c_0_357,plain,
    cell64 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27925]) ).

fof(c_0_358,plain,
    cell63 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27988]) ).

fof(c_0_359,plain,
    cell62 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28111]) ).

fof(c_0_360,plain,
    cell61 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28050]) ).

fof(c_0_361,plain,
    ! [X2,X1] :
      ( epred29_2(X1,X2)
    <=> ( ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_362,plain,
    ! [X69,X70] :
      ( ( epred31_2(X70,X69)
        | X70 != cell75
        | X69 != cell65 )
      & ( epred31_2(X70,X69)
        | X70 != cell74
        | X69 != cell64 )
      & ( epred31_2(X70,X69)
        | X70 != cell73
        | X69 != cell63 )
      & ( epred31_2(X70,X69)
        | X70 != cell72
        | X69 != cell62 )
      & ( epred31_2(X70,X69)
        | X70 != cell71
        | X69 != cell61 )
      & ( epred31_2(X70,X69)
        | ~ epred30_2(X70,X69) )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X70 = cell73
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X70 = cell73
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X70 = cell73
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X70 = cell73
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X69 = cell63
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X69 = cell63
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X69 = cell63
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X70 = cell72
        | X69 = cell63
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X70 = cell73
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X70 = cell73
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X70 = cell73
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X70 = cell73
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X69 = cell63
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X69 = cell63
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X69 = cell63
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X70 = cell71
        | X69 = cell62
        | X69 = cell63
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X70 = cell73
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X70 = cell73
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X70 = cell73
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X70 = cell73
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X69 = cell63
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X69 = cell63
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X69 = cell63
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X70 = cell72
        | X69 = cell63
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X70 = cell73
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X70 = cell73
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X70 = cell73
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X70 = cell73
        | X69 = cell64
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X69 = cell63
        | X70 = cell74
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X69 = cell63
        | X70 = cell74
        | X69 = cell65 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X69 = cell63
        | X69 = cell64
        | X70 = cell75 )
      & ( ~ epred31_2(X70,X69)
        | epred30_2(X70,X69)
        | X69 = cell61
        | X69 = cell62
        | X69 = cell63
        | X69 = cell64
        | X69 = cell65 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_346])])])]) ).

cnf(c_0_363,plain,
    ( epred31_2(cell1,cell100)
    | epred32_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_302]),c_0_349]),c_0_350]),c_0_351]),c_0_352]) ).

cnf(c_0_364,plain,
    cell69 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_365,plain,
    cell68 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_366,plain,
    cell67 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_367,plain,
    cell66 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

fof(c_0_368,plain,
    cell64 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_357]) ).

fof(c_0_369,plain,
    cell63 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_358]) ).

fof(c_0_370,plain,
    cell62 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_359]) ).

fof(c_0_371,plain,
    cell61 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_360]) ).

fof(c_0_372,plain,
    cell64 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27924]) ).

fof(c_0_373,plain,
    cell63 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27987]) ).

fof(c_0_374,plain,
    cell62 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28110]) ).

fof(c_0_375,plain,
    cell61 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28049]) ).

fof(c_0_376,plain,
    ! [X2,X1] :
      ( epred30_2(X1,X2)
    <=> ( ( X1 = cell70
          & X2 = cell60 )
        | ( X1 = cell69
          & X2 = cell59 )
        | ( X1 = cell68
          & X2 = cell58 )
        | ( X1 = cell67
          & X2 = cell57 )
        | ( X1 = cell66
          & X2 = cell56 )
        | epred29_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_330,c_0_361]) ).

cnf(c_0_377,plain,
    ( ~ epred31_2(X1,X2)
    | epred30_2(X1,X2)
    | X2 = cell61
    | X2 = cell62
    | X2 = cell63
    | X2 = cell64
    | X1 = cell75 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_378,plain,
    ( epred31_2(cell100,cell1)
    | epred31_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_363]),c_0_288]),c_0_364]),c_0_365]),c_0_366]),c_0_367]) ).

cnf(c_0_379,plain,
    cell64 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_380,plain,
    cell63 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_381,plain,
    cell62 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_382,plain,
    cell61 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

fof(c_0_383,plain,
    cell64 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_372]) ).

fof(c_0_384,plain,
    cell63 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_373]) ).

fof(c_0_385,plain,
    cell62 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_374]) ).

fof(c_0_386,plain,
    cell61 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_375]) ).

fof(c_0_387,plain,
    cell70 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27525]) ).

fof(c_0_388,plain,
    cell59 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28230]) ).

fof(c_0_389,plain,
    cell58 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28288]) ).

fof(c_0_390,plain,
    cell57 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28345]) ).

fof(c_0_391,plain,
    cell56 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28401]) ).

fof(c_0_392,plain,
    ! [X2,X1] :
      ( epred28_2(X1,X2)
    <=> ( ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_393,plain,
    ! [X67,X68] :
      ( ( epred30_2(X68,X67)
        | X68 != cell70
        | X67 != cell60 )
      & ( epred30_2(X68,X67)
        | X68 != cell69
        | X67 != cell59 )
      & ( epred30_2(X68,X67)
        | X68 != cell68
        | X67 != cell58 )
      & ( epred30_2(X68,X67)
        | X68 != cell67
        | X67 != cell57 )
      & ( epred30_2(X68,X67)
        | X68 != cell66
        | X67 != cell56 )
      & ( epred30_2(X68,X67)
        | ~ epred29_2(X68,X67) )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X68 = cell68
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X68 = cell68
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X68 = cell68
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X68 = cell68
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X67 = cell58
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X67 = cell58
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X67 = cell58
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X68 = cell67
        | X67 = cell58
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X68 = cell68
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X68 = cell68
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X68 = cell68
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X68 = cell68
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X67 = cell58
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X67 = cell58
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X67 = cell58
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X68 = cell66
        | X67 = cell57
        | X67 = cell58
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X68 = cell68
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X68 = cell68
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X68 = cell68
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X68 = cell68
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X67 = cell58
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X67 = cell58
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X67 = cell58
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X68 = cell67
        | X67 = cell58
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X68 = cell68
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X68 = cell68
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X68 = cell68
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X68 = cell68
        | X67 = cell59
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X67 = cell58
        | X68 = cell69
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X67 = cell58
        | X68 = cell69
        | X67 = cell60 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X67 = cell58
        | X67 = cell59
        | X68 = cell70 )
      & ( ~ epred30_2(X68,X67)
        | epred29_2(X68,X67)
        | X67 = cell56
        | X67 = cell57
        | X67 = cell58
        | X67 = cell59
        | X67 = cell60 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_376])])])]) ).

cnf(c_0_394,plain,
    ( epred30_2(cell1,cell100)
    | epred31_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_333]),c_0_379]),c_0_380]),c_0_381]),c_0_382]) ).

cnf(c_0_395,plain,
    cell64 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_396,plain,
    cell63 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_397,plain,
    cell62 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_398,plain,
    cell61 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

fof(c_0_399,plain,
    cell70 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_387]) ).

fof(c_0_400,plain,
    cell59 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_388]) ).

fof(c_0_401,plain,
    cell58 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_389]) ).

fof(c_0_402,plain,
    cell57 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_390]) ).

fof(c_0_403,plain,
    cell56 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_391]) ).

fof(c_0_404,plain,
    cell70 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27526]) ).

fof(c_0_405,plain,
    cell59 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28229]) ).

fof(c_0_406,plain,
    cell58 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28287]) ).

fof(c_0_407,plain,
    cell57 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28344]) ).

fof(c_0_408,plain,
    cell56 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28400]) ).

fof(c_0_409,plain,
    ! [X2,X1] :
      ( epred29_2(X1,X2)
    <=> ( ( X1 = cell65
          & X2 = cell55 )
        | ( X1 = cell64
          & X2 = cell54 )
        | ( X1 = cell63
          & X2 = cell53 )
        | ( X1 = cell62
          & X2 = cell52 )
        | ( X1 = cell61
          & X2 = cell51 )
        | epred28_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_361,c_0_392]) ).

cnf(c_0_410,plain,
    ( ~ epred30_2(X1,X2)
    | epred29_2(X1,X2)
    | X2 = cell56
    | X2 = cell57
    | X2 = cell58
    | X2 = cell59
    | X1 = cell70 ),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_411,plain,
    ( epred30_2(cell100,cell1)
    | epred30_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_394]),c_0_316]),c_0_395]),c_0_396]),c_0_397]),c_0_398]) ).

cnf(c_0_412,plain,
    cell70 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_413,plain,
    cell59 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_414,plain,
    cell58 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_415,plain,
    cell57 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_416,plain,
    cell56 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

fof(c_0_417,plain,
    cell70 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_404]) ).

fof(c_0_418,plain,
    cell59 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_405]) ).

fof(c_0_419,plain,
    cell58 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_406]) ).

fof(c_0_420,plain,
    cell57 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_407]) ).

fof(c_0_421,plain,
    cell56 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_408]) ).

fof(c_0_422,plain,
    cell65 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27860]) ).

fof(c_0_423,plain,
    cell54 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28510]) ).

fof(c_0_424,plain,
    cell53 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28563]) ).

fof(c_0_425,plain,
    cell52 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28666]) ).

fof(c_0_426,plain,
    cell51 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28615]) ).

fof(c_0_427,plain,
    ! [X2,X1] :
      ( epred27_2(X1,X2)
    <=> ( ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_428,plain,
    ! [X65,X66] :
      ( ( epred29_2(X66,X65)
        | X66 != cell65
        | X65 != cell55 )
      & ( epred29_2(X66,X65)
        | X66 != cell64
        | X65 != cell54 )
      & ( epred29_2(X66,X65)
        | X66 != cell63
        | X65 != cell53 )
      & ( epred29_2(X66,X65)
        | X66 != cell62
        | X65 != cell52 )
      & ( epred29_2(X66,X65)
        | X66 != cell61
        | X65 != cell51 )
      & ( epred29_2(X66,X65)
        | ~ epred28_2(X66,X65) )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X66 = cell63
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X66 = cell63
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X66 = cell63
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X66 = cell63
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X65 = cell53
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X65 = cell53
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X65 = cell53
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X66 = cell62
        | X65 = cell53
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X66 = cell63
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X66 = cell63
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X66 = cell63
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X66 = cell63
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X65 = cell53
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X65 = cell53
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X65 = cell53
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X66 = cell61
        | X65 = cell52
        | X65 = cell53
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X66 = cell63
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X66 = cell63
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X66 = cell63
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X66 = cell63
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X65 = cell53
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X65 = cell53
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X65 = cell53
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X66 = cell62
        | X65 = cell53
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X66 = cell63
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X66 = cell63
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X66 = cell63
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X66 = cell63
        | X65 = cell54
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X65 = cell53
        | X66 = cell64
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X65 = cell53
        | X66 = cell64
        | X65 = cell55 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X65 = cell53
        | X65 = cell54
        | X66 = cell65 )
      & ( ~ epred29_2(X66,X65)
        | epred28_2(X66,X65)
        | X65 = cell51
        | X65 = cell52
        | X65 = cell53
        | X65 = cell54
        | X65 = cell55 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_409])])])]) ).

cnf(c_0_429,plain,
    ( epred29_2(cell1,cell100)
    | epred30_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]),c_0_413]),c_0_414]),c_0_415]),c_0_416]) ).

cnf(c_0_430,plain,
    cell70 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_431,plain,
    cell59 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_432,plain,
    cell58 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_433,plain,
    cell57 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_434,plain,
    cell56 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

fof(c_0_435,plain,
    cell65 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_422]) ).

fof(c_0_436,plain,
    cell54 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_423]) ).

fof(c_0_437,plain,
    cell53 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_424]) ).

fof(c_0_438,plain,
    cell52 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_425]) ).

fof(c_0_439,plain,
    cell51 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_426]) ).

fof(c_0_440,plain,
    cell65 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27861]) ).

fof(c_0_441,plain,
    cell54 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28509]) ).

fof(c_0_442,plain,
    cell53 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28562]) ).

fof(c_0_443,plain,
    cell52 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28665]) ).

fof(c_0_444,plain,
    cell51 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28614]) ).

fof(c_0_445,plain,
    ! [X2,X1] :
      ( epred28_2(X1,X2)
    <=> ( ( X1 = cell60
          & X2 = cell50 )
        | ( X1 = cell59
          & X2 = cell49 )
        | ( X1 = cell58
          & X2 = cell48 )
        | ( X1 = cell57
          & X2 = cell47 )
        | ( X1 = cell56
          & X2 = cell46 )
        | epred27_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_392,c_0_427]) ).

cnf(c_0_446,plain,
    ( ~ epred29_2(X1,X2)
    | epred28_2(X1,X2)
    | X2 = cell51
    | X2 = cell52
    | X2 = cell53
    | X2 = cell54
    | X1 = cell65 ),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_447,plain,
    ( epred29_2(cell100,cell1)
    | epred29_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_429]),c_0_430]),c_0_431]),c_0_432]),c_0_433]),c_0_434]) ).

cnf(c_0_448,plain,
    cell65 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_449,plain,
    cell54 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_450,plain,
    cell53 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_451,plain,
    cell52 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_452,plain,
    cell51 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

fof(c_0_453,plain,
    cell65 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_440]) ).

fof(c_0_454,plain,
    cell54 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_441]) ).

fof(c_0_455,plain,
    cell53 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_442]) ).

fof(c_0_456,plain,
    cell52 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_443]) ).

fof(c_0_457,plain,
    cell51 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_444]) ).

fof(c_0_458,plain,
    cell60 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28170]) ).

fof(c_0_459,plain,
    cell49 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28765]) ).

fof(c_0_460,plain,
    cell48 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28813]) ).

fof(c_0_461,plain,
    cell47 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28860]) ).

fof(c_0_462,plain,
    cell46 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28906]) ).

fof(c_0_463,plain,
    ! [X2,X1] :
      ( epred26_2(X1,X2)
    <=> ( ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_464,plain,
    ! [X63,X64] :
      ( ( epred28_2(X64,X63)
        | X64 != cell60
        | X63 != cell50 )
      & ( epred28_2(X64,X63)
        | X64 != cell59
        | X63 != cell49 )
      & ( epred28_2(X64,X63)
        | X64 != cell58
        | X63 != cell48 )
      & ( epred28_2(X64,X63)
        | X64 != cell57
        | X63 != cell47 )
      & ( epred28_2(X64,X63)
        | X64 != cell56
        | X63 != cell46 )
      & ( epred28_2(X64,X63)
        | ~ epred27_2(X64,X63) )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X64 = cell58
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X64 = cell58
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X64 = cell58
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X64 = cell58
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X63 = cell48
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X63 = cell48
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X63 = cell48
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X64 = cell57
        | X63 = cell48
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X64 = cell58
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X64 = cell58
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X64 = cell58
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X64 = cell58
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X63 = cell48
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X63 = cell48
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X63 = cell48
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X64 = cell56
        | X63 = cell47
        | X63 = cell48
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X64 = cell58
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X64 = cell58
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X64 = cell58
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X64 = cell58
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X63 = cell48
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X63 = cell48
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X63 = cell48
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X64 = cell57
        | X63 = cell48
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X64 = cell58
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X64 = cell58
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X64 = cell58
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X64 = cell58
        | X63 = cell49
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X63 = cell48
        | X64 = cell59
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X63 = cell48
        | X64 = cell59
        | X63 = cell50 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X63 = cell48
        | X63 = cell49
        | X64 = cell60 )
      & ( ~ epred28_2(X64,X63)
        | epred27_2(X64,X63)
        | X63 = cell46
        | X63 = cell47
        | X63 = cell48
        | X63 = cell49
        | X63 = cell50 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_445])])])]) ).

cnf(c_0_465,plain,
    ( epred28_2(cell1,cell100)
    | epred29_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_448]),c_0_449]),c_0_450]),c_0_451]),c_0_452]) ).

cnf(c_0_466,plain,
    cell65 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_467,plain,
    cell54 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_468,plain,
    cell53 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_469,plain,
    cell52 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_470,plain,
    cell51 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

fof(c_0_471,plain,
    cell60 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_458]) ).

fof(c_0_472,plain,
    cell49 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_459]) ).

fof(c_0_473,plain,
    cell48 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_460]) ).

fof(c_0_474,plain,
    cell47 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_461]) ).

fof(c_0_475,plain,
    cell46 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_462]) ).

fof(c_0_476,plain,
    cell60 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28171]) ).

fof(c_0_477,plain,
    cell49 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28764]) ).

fof(c_0_478,plain,
    cell48 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28812]) ).

fof(c_0_479,plain,
    cell47 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28859]) ).

fof(c_0_480,plain,
    cell46 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28905]) ).

fof(c_0_481,plain,
    ! [X2,X1] :
      ( epred27_2(X1,X2)
    <=> ( ( X1 = cell55
          & X2 = cell45 )
        | ( X1 = cell54
          & X2 = cell44 )
        | ( X1 = cell53
          & X2 = cell43 )
        | ( X1 = cell52
          & X2 = cell42 )
        | ( X1 = cell51
          & X2 = cell41 )
        | epred26_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_427,c_0_463]) ).

cnf(c_0_482,plain,
    ( ~ epred28_2(X1,X2)
    | epred27_2(X1,X2)
    | X2 = cell46
    | X2 = cell47
    | X2 = cell48
    | X2 = cell49
    | X1 = cell60 ),
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_483,plain,
    ( epred28_2(cell100,cell1)
    | epred28_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_465]),c_0_466]),c_0_467]),c_0_468]),c_0_469]),c_0_470]) ).

cnf(c_0_484,plain,
    cell60 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_485,plain,
    cell49 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_486,plain,
    cell48 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_487,plain,
    cell47 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_488,plain,
    cell46 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

fof(c_0_489,plain,
    cell60 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_476]) ).

fof(c_0_490,plain,
    cell49 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_477]) ).

fof(c_0_491,plain,
    cell48 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_478]) ).

fof(c_0_492,plain,
    cell47 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_479]) ).

fof(c_0_493,plain,
    cell46 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_480]) ).

fof(c_0_494,plain,
    cell55 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28455]) ).

fof(c_0_495,plain,
    cell44 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28995]) ).

fof(c_0_496,plain,
    cell43 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29038]) ).

fof(c_0_497,plain,
    cell42 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29121]) ).

fof(c_0_498,plain,
    cell41 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29080]) ).

fof(c_0_499,plain,
    ! [X2,X1] :
      ( epred25_2(X1,X2)
    <=> ( ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_500,plain,
    ! [X61,X62] :
      ( ( epred27_2(X62,X61)
        | X62 != cell55
        | X61 != cell45 )
      & ( epred27_2(X62,X61)
        | X62 != cell54
        | X61 != cell44 )
      & ( epred27_2(X62,X61)
        | X62 != cell53
        | X61 != cell43 )
      & ( epred27_2(X62,X61)
        | X62 != cell52
        | X61 != cell42 )
      & ( epred27_2(X62,X61)
        | X62 != cell51
        | X61 != cell41 )
      & ( epred27_2(X62,X61)
        | ~ epred26_2(X62,X61) )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X62 = cell53
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X62 = cell53
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X62 = cell53
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X62 = cell53
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X61 = cell43
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X61 = cell43
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X61 = cell43
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X62 = cell52
        | X61 = cell43
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X62 = cell53
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X62 = cell53
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X62 = cell53
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X62 = cell53
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X61 = cell43
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X61 = cell43
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X61 = cell43
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X62 = cell51
        | X61 = cell42
        | X61 = cell43
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X62 = cell53
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X62 = cell53
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X62 = cell53
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X62 = cell53
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X61 = cell43
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X61 = cell43
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X61 = cell43
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X62 = cell52
        | X61 = cell43
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X62 = cell53
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X62 = cell53
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X62 = cell53
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X62 = cell53
        | X61 = cell44
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X61 = cell43
        | X62 = cell54
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X61 = cell43
        | X62 = cell54
        | X61 = cell45 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X61 = cell43
        | X61 = cell44
        | X62 = cell55 )
      & ( ~ epred27_2(X62,X61)
        | epred26_2(X62,X61)
        | X61 = cell41
        | X61 = cell42
        | X61 = cell43
        | X61 = cell44
        | X61 = cell45 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_481])])])]) ).

cnf(c_0_501,plain,
    ( epred27_2(cell1,cell100)
    | epred28_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_484]),c_0_485]),c_0_486]),c_0_487]),c_0_488]) ).

cnf(c_0_502,plain,
    cell60 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_503,plain,
    cell49 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_504,plain,
    cell48 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_505,plain,
    cell47 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_506,plain,
    cell46 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

fof(c_0_507,plain,
    cell55 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_494]) ).

fof(c_0_508,plain,
    cell44 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_495]) ).

fof(c_0_509,plain,
    cell43 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_496]) ).

fof(c_0_510,plain,
    cell42 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_497]) ).

fof(c_0_511,plain,
    cell41 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_498]) ).

fof(c_0_512,plain,
    cell55 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28456]) ).

fof(c_0_513,plain,
    cell44 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28994]) ).

fof(c_0_514,plain,
    cell43 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29037]) ).

fof(c_0_515,plain,
    cell42 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29120]) ).

fof(c_0_516,plain,
    cell41 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29079]) ).

fof(c_0_517,plain,
    ! [X2,X1] :
      ( epred26_2(X1,X2)
    <=> ( ( X1 = cell50
          & X2 = cell40 )
        | ( X1 = cell49
          & X2 = cell39 )
        | ( X1 = cell48
          & X2 = cell38 )
        | ( X1 = cell47
          & X2 = cell37 )
        | ( X1 = cell46
          & X2 = cell36 )
        | epred25_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_463,c_0_499]) ).

cnf(c_0_518,plain,
    ( ~ epred27_2(X1,X2)
    | epred26_2(X1,X2)
    | X2 = cell41
    | X2 = cell42
    | X2 = cell43
    | X2 = cell44
    | X1 = cell55 ),
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_519,plain,
    ( epred27_2(cell100,cell1)
    | epred27_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_501]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]) ).

cnf(c_0_520,plain,
    cell55 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_521,plain,
    cell44 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_522,plain,
    cell43 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_523,plain,
    cell42 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_524,plain,
    cell41 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

fof(c_0_525,plain,
    cell55 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_512]) ).

fof(c_0_526,plain,
    cell44 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_513]) ).

fof(c_0_527,plain,
    cell43 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_514]) ).

fof(c_0_528,plain,
    cell42 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_515]) ).

fof(c_0_529,plain,
    cell41 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_516]) ).

fof(c_0_530,plain,
    cell40 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29161]) ).

fof(c_0_531,plain,
    ! [X2,X1] :
      ( epred24_2(X1,X2)
    <=> ( ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_532,plain,
    ! [X59,X60] :
      ( ( epred26_2(X60,X59)
        | X60 != cell50
        | X59 != cell40 )
      & ( epred26_2(X60,X59)
        | X60 != cell49
        | X59 != cell39 )
      & ( epred26_2(X60,X59)
        | X60 != cell48
        | X59 != cell38 )
      & ( epred26_2(X60,X59)
        | X60 != cell47
        | X59 != cell37 )
      & ( epred26_2(X60,X59)
        | X60 != cell46
        | X59 != cell36 )
      & ( epred26_2(X60,X59)
        | ~ epred25_2(X60,X59) )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X60 = cell48
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X60 = cell48
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X60 = cell48
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X60 = cell48
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X59 = cell38
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X59 = cell38
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X59 = cell38
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X60 = cell47
        | X59 = cell38
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X60 = cell48
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X60 = cell48
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X60 = cell48
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X60 = cell48
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X59 = cell38
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X59 = cell38
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X59 = cell38
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X60 = cell46
        | X59 = cell37
        | X59 = cell38
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X60 = cell48
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X60 = cell48
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X60 = cell48
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X60 = cell48
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X59 = cell38
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X59 = cell38
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X59 = cell38
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X60 = cell47
        | X59 = cell38
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X60 = cell48
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X60 = cell48
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X60 = cell48
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X60 = cell48
        | X59 = cell39
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X59 = cell38
        | X60 = cell49
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X59 = cell38
        | X60 = cell49
        | X59 = cell40 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X59 = cell38
        | X59 = cell39
        | X60 = cell50 )
      & ( ~ epred26_2(X60,X59)
        | epred25_2(X60,X59)
        | X59 = cell36
        | X59 = cell37
        | X59 = cell38
        | X59 = cell39
        | X59 = cell40 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_517])])])]) ).

cnf(c_0_533,plain,
    ( epred26_2(cell1,cell100)
    | epred27_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_520]),c_0_521]),c_0_522]),c_0_523]),c_0_524]) ).

cnf(c_0_534,plain,
    cell55 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_535,plain,
    cell44 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_536,plain,
    cell43 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_537,plain,
    cell42 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_538,plain,
    cell41 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

fof(c_0_539,plain,
    cell40 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_530]) ).

fof(c_0_540,plain,
    cell40 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29160]) ).

fof(c_0_541,plain,
    ! [X2,X1] :
      ( epred25_2(X1,X2)
    <=> ( ( X1 = cell45
          & X2 = cell35 )
        | ( X1 = cell44
          & X2 = cell34 )
        | ( X1 = cell43
          & X2 = cell33 )
        | ( X1 = cell42
          & X2 = cell32 )
        | ( X1 = cell41
          & X2 = cell31 )
        | epred24_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_499,c_0_531]) ).

cnf(c_0_542,plain,
    ( ~ epred26_2(X2,X1)
    | epred25_2(X2,X1)
    | X2 = cell46
    | X2 = cell47
    | X2 = cell48
    | X2 = cell49
    | X1 = cell40 ),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_543,plain,
    ( epred26_2(cell100,cell1)
    | epred26_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_533]),c_0_534]),c_0_535]),c_0_536]),c_0_537]),c_0_538]) ).

cnf(c_0_544,plain,
    cell40 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

fof(c_0_545,plain,
    cell40 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_540]) ).

fof(c_0_546,plain,
    cell45 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof28950]) ).

fof(c_0_547,plain,
    cell34 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29380]) ).

fof(c_0_548,plain,
    cell33 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29413]) ).

fof(c_0_549,plain,
    cell32 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29476]) ).

fof(c_0_550,plain,
    cell31 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29445]) ).

fof(c_0_551,plain,
    ! [X2,X1] :
      ( epred23_2(X1,X2)
    <=> ( ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_552,plain,
    ! [X57,X58] :
      ( ( epred25_2(X58,X57)
        | X58 != cell45
        | X57 != cell35 )
      & ( epred25_2(X58,X57)
        | X58 != cell44
        | X57 != cell34 )
      & ( epred25_2(X58,X57)
        | X58 != cell43
        | X57 != cell33 )
      & ( epred25_2(X58,X57)
        | X58 != cell42
        | X57 != cell32 )
      & ( epred25_2(X58,X57)
        | X58 != cell41
        | X57 != cell31 )
      & ( epred25_2(X58,X57)
        | ~ epred24_2(X58,X57) )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X58 = cell43
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X58 = cell43
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X58 = cell43
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X58 = cell43
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X57 = cell33
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X57 = cell33
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X57 = cell33
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X58 = cell42
        | X57 = cell33
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X58 = cell43
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X58 = cell43
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X58 = cell43
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X58 = cell43
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X57 = cell33
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X57 = cell33
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X57 = cell33
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X58 = cell41
        | X57 = cell32
        | X57 = cell33
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X58 = cell43
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X58 = cell43
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X58 = cell43
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X58 = cell43
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X57 = cell33
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X57 = cell33
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X57 = cell33
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X58 = cell42
        | X57 = cell33
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X58 = cell43
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X58 = cell43
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X58 = cell43
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X58 = cell43
        | X57 = cell34
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X57 = cell33
        | X58 = cell44
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X57 = cell33
        | X58 = cell44
        | X57 = cell35 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X57 = cell33
        | X57 = cell34
        | X58 = cell45 )
      & ( ~ epred25_2(X58,X57)
        | epred24_2(X58,X57)
        | X57 = cell31
        | X57 = cell32
        | X57 = cell33
        | X57 = cell34
        | X57 = cell35 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])])])]) ).

cnf(c_0_553,plain,
    ( epred25_2(cell1,cell100)
    | epred26_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544]),c_0_503]),c_0_504]),c_0_505]),c_0_506]) ).

cnf(c_0_554,plain,
    cell40 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

fof(c_0_555,plain,
    cell45 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_546]) ).

fof(c_0_556,plain,
    cell34 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_547]) ).

fof(c_0_557,plain,
    cell33 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_548]) ).

fof(c_0_558,plain,
    cell32 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_549]) ).

fof(c_0_559,plain,
    cell31 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_550]) ).

fof(c_0_560,plain,
    cell45 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof28951]) ).

fof(c_0_561,plain,
    cell34 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29379]) ).

fof(c_0_562,plain,
    cell33 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29412]) ).

fof(c_0_563,plain,
    cell32 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29475]) ).

fof(c_0_564,plain,
    cell31 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29444]) ).

fof(c_0_565,plain,
    ! [X2,X1] :
      ( epred24_2(X1,X2)
    <=> ( ( X1 = cell40
          & X2 = cell30 )
        | ( X1 = cell39
          & X2 = cell29 )
        | ( X1 = cell38
          & X2 = cell28 )
        | ( X1 = cell37
          & X2 = cell27 )
        | ( X1 = cell36
          & X2 = cell26 )
        | epred23_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_531,c_0_551]) ).

cnf(c_0_566,plain,
    ( ~ epred25_2(X1,X2)
    | epred24_2(X1,X2)
    | X2 = cell31
    | X2 = cell32
    | X2 = cell33
    | X2 = cell34
    | X1 = cell45 ),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_567,plain,
    ( epred25_2(cell100,cell1)
    | epred25_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_553]),c_0_554]),c_0_485]),c_0_486]),c_0_487]),c_0_488]) ).

cnf(c_0_568,plain,
    cell45 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_569,plain,
    cell34 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_570,plain,
    cell33 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_571,plain,
    cell32 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_572,plain,
    cell31 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

fof(c_0_573,plain,
    cell45 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_560]) ).

fof(c_0_574,plain,
    cell34 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_561]) ).

fof(c_0_575,plain,
    cell33 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_562]) ).

fof(c_0_576,plain,
    cell32 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_563]) ).

fof(c_0_577,plain,
    cell31 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_564]) ).

fof(c_0_578,plain,
    cell29 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29535]) ).

fof(c_0_579,plain,
    cell28 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29563]) ).

fof(c_0_580,plain,
    cell27 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29590]) ).

fof(c_0_581,plain,
    cell26 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29616]) ).

fof(c_0_582,plain,
    ! [X2,X1] :
      ( epred22_2(X1,X2)
    <=> ( ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_583,plain,
    ! [X55,X56] :
      ( ( epred24_2(X56,X55)
        | X56 != cell40
        | X55 != cell30 )
      & ( epred24_2(X56,X55)
        | X56 != cell39
        | X55 != cell29 )
      & ( epred24_2(X56,X55)
        | X56 != cell38
        | X55 != cell28 )
      & ( epred24_2(X56,X55)
        | X56 != cell37
        | X55 != cell27 )
      & ( epred24_2(X56,X55)
        | X56 != cell36
        | X55 != cell26 )
      & ( epred24_2(X56,X55)
        | ~ epred23_2(X56,X55) )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X56 = cell38
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X56 = cell38
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X56 = cell38
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X56 = cell38
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X55 = cell28
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X55 = cell28
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X55 = cell28
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X56 = cell37
        | X55 = cell28
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X56 = cell38
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X56 = cell38
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X56 = cell38
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X56 = cell38
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X55 = cell28
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X55 = cell28
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X55 = cell28
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X56 = cell36
        | X55 = cell27
        | X55 = cell28
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X56 = cell38
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X56 = cell38
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X56 = cell38
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X56 = cell38
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X55 = cell28
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X55 = cell28
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X55 = cell28
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X56 = cell37
        | X55 = cell28
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X56 = cell38
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X56 = cell38
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X56 = cell38
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X56 = cell38
        | X55 = cell29
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X55 = cell28
        | X56 = cell39
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X55 = cell28
        | X56 = cell39
        | X55 = cell30 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X55 = cell28
        | X55 = cell29
        | X56 = cell40 )
      & ( ~ epred24_2(X56,X55)
        | epred23_2(X56,X55)
        | X55 = cell26
        | X55 = cell27
        | X55 = cell28
        | X55 = cell29
        | X55 = cell30 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_565])])])]) ).

cnf(c_0_584,plain,
    ( epred24_2(cell1,cell100)
    | epred25_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_568]),c_0_569]),c_0_570]),c_0_571]),c_0_572]) ).

cnf(c_0_585,plain,
    cell45 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_586,plain,
    cell34 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_587,plain,
    cell33 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_588,plain,
    cell32 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_589,plain,
    cell31 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

fof(c_0_590,plain,
    cell29 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_578]) ).

fof(c_0_591,plain,
    cell28 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_579]) ).

fof(c_0_592,plain,
    cell27 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_580]) ).

fof(c_0_593,plain,
    cell26 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_581]) ).

fof(c_0_594,plain,
    cell29 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29534]) ).

fof(c_0_595,plain,
    cell28 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29562]) ).

fof(c_0_596,plain,
    cell27 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29589]) ).

fof(c_0_597,plain,
    cell26 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29615]) ).

fof(c_0_598,plain,
    ! [X2,X1] :
      ( epred23_2(X1,X2)
    <=> ( ( X1 = cell35
          & X2 = cell25 )
        | ( X1 = cell34
          & X2 = cell24 )
        | ( X1 = cell33
          & X2 = cell23 )
        | ( X1 = cell32
          & X2 = cell22 )
        | ( X1 = cell31
          & X2 = cell21 )
        | epred22_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_551,c_0_582]) ).

cnf(c_0_599,plain,
    ( ~ epred24_2(X1,X2)
    | epred23_2(X1,X2)
    | X2 = cell26
    | X2 = cell27
    | X2 = cell28
    | X2 = cell29
    | X1 = cell40 ),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_600,plain,
    ( epred24_2(cell100,cell1)
    | epred24_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_584]),c_0_585]),c_0_586]),c_0_587]),c_0_588]),c_0_589]) ).

cnf(c_0_601,plain,
    cell29 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_602,plain,
    cell28 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_603,plain,
    cell27 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_604,plain,
    cell26 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

fof(c_0_605,plain,
    cell29 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_594]) ).

fof(c_0_606,plain,
    cell28 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_595]) ).

fof(c_0_607,plain,
    cell27 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_596]) ).

fof(c_0_608,plain,
    cell26 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_597]) ).

fof(c_0_609,plain,
    cell35 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29345]) ).

fof(c_0_610,plain,
    cell24 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29665]) ).

fof(c_0_611,plain,
    cell23 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29688]) ).

fof(c_0_612,plain,
    cell22 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29731]) ).

fof(c_0_613,plain,
    cell21 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29710]) ).

fof(c_0_614,plain,
    ! [X2,X1] :
      ( epred21_2(X1,X2)
    <=> ( ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_615,plain,
    ! [X53,X54] :
      ( ( epred23_2(X54,X53)
        | X54 != cell35
        | X53 != cell25 )
      & ( epred23_2(X54,X53)
        | X54 != cell34
        | X53 != cell24 )
      & ( epred23_2(X54,X53)
        | X54 != cell33
        | X53 != cell23 )
      & ( epred23_2(X54,X53)
        | X54 != cell32
        | X53 != cell22 )
      & ( epred23_2(X54,X53)
        | X54 != cell31
        | X53 != cell21 )
      & ( epred23_2(X54,X53)
        | ~ epred22_2(X54,X53) )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X54 = cell33
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X54 = cell33
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X54 = cell33
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X54 = cell33
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X53 = cell23
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X53 = cell23
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X53 = cell23
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X54 = cell32
        | X53 = cell23
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X54 = cell33
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X54 = cell33
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X54 = cell33
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X54 = cell33
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X53 = cell23
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X53 = cell23
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X53 = cell23
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X54 = cell31
        | X53 = cell22
        | X53 = cell23
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X54 = cell33
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X54 = cell33
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X54 = cell33
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X54 = cell33
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X53 = cell23
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X53 = cell23
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X53 = cell23
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X54 = cell32
        | X53 = cell23
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X54 = cell33
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X54 = cell33
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X54 = cell33
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X54 = cell33
        | X53 = cell24
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X53 = cell23
        | X54 = cell34
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X53 = cell23
        | X54 = cell34
        | X53 = cell25 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X53 = cell23
        | X53 = cell24
        | X54 = cell35 )
      & ( ~ epred23_2(X54,X53)
        | epred22_2(X54,X53)
        | X53 = cell21
        | X53 = cell22
        | X53 = cell23
        | X53 = cell24
        | X53 = cell25 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_598])])])]) ).

cnf(c_0_616,plain,
    ( epred23_2(cell1,cell100)
    | epred24_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_554]),c_0_601]),c_0_602]),c_0_603]),c_0_604]) ).

cnf(c_0_617,plain,
    cell29 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_618,plain,
    cell28 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_619,plain,
    cell27 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_620,plain,
    cell26 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

fof(c_0_621,plain,
    cell35 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_609]) ).

fof(c_0_622,plain,
    cell24 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_610]) ).

fof(c_0_623,plain,
    cell23 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_611]) ).

fof(c_0_624,plain,
    cell22 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_612]) ).

fof(c_0_625,plain,
    cell21 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_613]) ).

fof(c_0_626,plain,
    cell35 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29346]) ).

fof(c_0_627,plain,
    cell24 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29664]) ).

fof(c_0_628,plain,
    cell23 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29687]) ).

fof(c_0_629,plain,
    cell22 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29730]) ).

fof(c_0_630,plain,
    cell21 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29709]) ).

fof(c_0_631,plain,
    ! [X2,X1] :
      ( epred22_2(X1,X2)
    <=> ( ( X1 = cell30
          & X2 = cell20 )
        | ( X1 = cell29
          & X2 = cell19 )
        | ( X1 = cell28
          & X2 = cell18 )
        | ( X1 = cell27
          & X2 = cell17 )
        | ( X1 = cell26
          & X2 = cell16 )
        | epred21_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_582,c_0_614]) ).

cnf(c_0_632,plain,
    ( ~ epred23_2(X1,X2)
    | epred22_2(X1,X2)
    | X2 = cell21
    | X2 = cell22
    | X2 = cell23
    | X2 = cell24
    | X1 = cell35 ),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_633,plain,
    ( epred23_2(cell100,cell1)
    | epred23_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_616]),c_0_544]),c_0_617]),c_0_618]),c_0_619]),c_0_620]) ).

cnf(c_0_634,plain,
    cell35 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_635,plain,
    cell24 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_636,plain,
    cell23 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_637,plain,
    cell22 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_638,plain,
    cell21 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

fof(c_0_639,plain,
    cell35 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_626]) ).

fof(c_0_640,plain,
    cell24 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_627]) ).

fof(c_0_641,plain,
    cell23 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_628]) ).

fof(c_0_642,plain,
    cell22 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_629]) ).

fof(c_0_643,plain,
    cell21 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_630]) ).

fof(c_0_644,plain,
    cell20 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29751]) ).

fof(c_0_645,plain,
    ! [X2,X1] :
      ( epred20_2(X1,X2)
    <=> ( ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_646,plain,
    ! [X51,X52] :
      ( ( epred22_2(X52,X51)
        | X52 != cell30
        | X51 != cell20 )
      & ( epred22_2(X52,X51)
        | X52 != cell29
        | X51 != cell19 )
      & ( epred22_2(X52,X51)
        | X52 != cell28
        | X51 != cell18 )
      & ( epred22_2(X52,X51)
        | X52 != cell27
        | X51 != cell17 )
      & ( epred22_2(X52,X51)
        | X52 != cell26
        | X51 != cell16 )
      & ( epred22_2(X52,X51)
        | ~ epred21_2(X52,X51) )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X52 = cell28
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X52 = cell28
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X52 = cell28
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X52 = cell28
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X51 = cell18
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X51 = cell18
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X51 = cell18
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X52 = cell27
        | X51 = cell18
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X52 = cell28
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X52 = cell28
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X52 = cell28
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X52 = cell28
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X51 = cell18
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X51 = cell18
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X51 = cell18
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X52 = cell26
        | X51 = cell17
        | X51 = cell18
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X52 = cell28
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X52 = cell28
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X52 = cell28
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X52 = cell28
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X51 = cell18
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X51 = cell18
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X51 = cell18
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X52 = cell27
        | X51 = cell18
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X52 = cell28
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X52 = cell28
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X52 = cell28
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X52 = cell28
        | X51 = cell19
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X51 = cell18
        | X52 = cell29
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X51 = cell18
        | X52 = cell29
        | X51 = cell20 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X51 = cell18
        | X51 = cell19
        | X52 = cell30 )
      & ( ~ epred22_2(X52,X51)
        | epred21_2(X52,X51)
        | X51 = cell16
        | X51 = cell17
        | X51 = cell18
        | X51 = cell19
        | X51 = cell20 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_631])])])]) ).

cnf(c_0_647,plain,
    ( epred22_2(cell1,cell100)
    | epred23_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_634]),c_0_635]),c_0_636]),c_0_637]),c_0_638]) ).

cnf(c_0_648,plain,
    cell35 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_649,plain,
    cell24 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_650,plain,
    cell23 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_651,plain,
    cell22 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_652,plain,
    cell21 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

fof(c_0_653,plain,
    cell20 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_644]) ).

fof(c_0_654,plain,
    cell20 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29750]) ).

fof(c_0_655,plain,
    ! [X2,X1] :
      ( epred21_2(X1,X2)
    <=> ( ( X1 = cell25
          & X2 = cell15 )
        | ( X1 = cell24
          & X2 = cell14 )
        | ( X1 = cell23
          & X2 = cell13 )
        | ( X1 = cell22
          & X2 = cell12 )
        | ( X1 = cell21
          & X2 = cell11 )
        | epred20_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_614,c_0_645]) ).

cnf(c_0_656,plain,
    ( ~ epred22_2(X2,X1)
    | epred21_2(X2,X1)
    | X2 = cell26
    | X2 = cell27
    | X2 = cell28
    | X2 = cell29
    | X1 = cell20 ),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_657,plain,
    ( epred22_2(cell100,cell1)
    | epred22_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_647]),c_0_648]),c_0_649]),c_0_650]),c_0_651]),c_0_652]) ).

cnf(c_0_658,plain,
    cell20 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

fof(c_0_659,plain,
    cell20 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_654]) ).

fof(c_0_660,plain,
    cell25 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29640]) ).

fof(c_0_661,plain,
    cell14 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29850]) ).

fof(c_0_662,plain,
    cell13 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29863]) ).

fof(c_0_663,plain,
    cell12 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29886]) ).

fof(c_0_664,plain,
    cell11 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29875]) ).

fof(c_0_665,plain,
    ! [X2,X1] :
      ( epred19_2(X1,X2)
    <=> ( ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_666,plain,
    ! [X49,X50] :
      ( ( epred21_2(X50,X49)
        | X50 != cell25
        | X49 != cell15 )
      & ( epred21_2(X50,X49)
        | X50 != cell24
        | X49 != cell14 )
      & ( epred21_2(X50,X49)
        | X50 != cell23
        | X49 != cell13 )
      & ( epred21_2(X50,X49)
        | X50 != cell22
        | X49 != cell12 )
      & ( epred21_2(X50,X49)
        | X50 != cell21
        | X49 != cell11 )
      & ( epred21_2(X50,X49)
        | ~ epred20_2(X50,X49) )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X50 = cell23
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X50 = cell23
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X50 = cell23
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X50 = cell23
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X49 = cell13
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X49 = cell13
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X49 = cell13
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X50 = cell22
        | X49 = cell13
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X50 = cell23
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X50 = cell23
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X50 = cell23
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X50 = cell23
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X49 = cell13
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X49 = cell13
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X49 = cell13
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X50 = cell21
        | X49 = cell12
        | X49 = cell13
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X50 = cell23
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X50 = cell23
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X50 = cell23
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X50 = cell23
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X49 = cell13
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X49 = cell13
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X49 = cell13
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X50 = cell22
        | X49 = cell13
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X50 = cell23
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X50 = cell23
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X50 = cell23
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X50 = cell23
        | X49 = cell14
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X49 = cell13
        | X50 = cell24
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X49 = cell13
        | X50 = cell24
        | X49 = cell15 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X49 = cell13
        | X49 = cell14
        | X50 = cell25 )
      & ( ~ epred21_2(X50,X49)
        | epred20_2(X50,X49)
        | X49 = cell11
        | X49 = cell12
        | X49 = cell13
        | X49 = cell14
        | X49 = cell15 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_655])])])]) ).

cnf(c_0_667,plain,
    ( epred21_2(cell1,cell100)
    | epred22_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_657]),c_0_658]),c_0_617]),c_0_618]),c_0_619]),c_0_620]) ).

cnf(c_0_668,plain,
    cell20 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

fof(c_0_669,plain,
    cell25 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_660]) ).

fof(c_0_670,plain,
    cell14 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_661]) ).

fof(c_0_671,plain,
    cell13 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_662]) ).

fof(c_0_672,plain,
    cell12 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_663]) ).

fof(c_0_673,plain,
    cell11 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_664]) ).

fof(c_0_674,plain,
    cell25 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29641]) ).

fof(c_0_675,plain,
    cell14 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29849]) ).

fof(c_0_676,plain,
    cell13 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29862]) ).

fof(c_0_677,plain,
    cell12 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29885]) ).

fof(c_0_678,plain,
    cell11 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29874]) ).

fof(c_0_679,plain,
    ! [X2,X1] :
      ( epred20_2(X1,X2)
    <=> ( ( X1 = cell20
          & X2 = cell10 )
        | ( X1 = cell19
          & X2 = cell9 )
        | ( X1 = cell18
          & X2 = cell8 )
        | ( X1 = cell17
          & X2 = cell7 )
        | ( X1 = cell16
          & X2 = cell6 )
        | epred19_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_645,c_0_665]) ).

cnf(c_0_680,plain,
    ( ~ epred21_2(X1,X2)
    | epred20_2(X1,X2)
    | X2 = cell11
    | X2 = cell12
    | X2 = cell13
    | X2 = cell14
    | X1 = cell25 ),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_681,plain,
    ( epred21_2(cell100,cell1)
    | epred21_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_667]),c_0_668]),c_0_601]),c_0_602]),c_0_603]),c_0_604]) ).

cnf(c_0_682,plain,
    cell25 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_683,plain,
    cell14 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_684,plain,
    cell13 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_685,plain,
    cell12 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_686,plain,
    cell11 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

fof(c_0_687,plain,
    cell25 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_674]) ).

fof(c_0_688,plain,
    cell14 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_675]) ).

fof(c_0_689,plain,
    cell13 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_676]) ).

fof(c_0_690,plain,
    cell12 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_677]) ).

fof(c_0_691,plain,
    cell11 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_678]) ).

fof(c_0_692,plain,
    cell9 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29905]) ).

fof(c_0_693,plain,
    cell8 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29913]) ).

fof(c_0_694,plain,
    cell7 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29920]) ).

fof(c_0_695,plain,
    cell6 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29926]) ).

fof(c_0_696,plain,
    ! [X2,X1] :
      ( epred18_2(X1,X2)
    <=> ( ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_697,plain,
    ! [X47,X48] :
      ( ( epred20_2(X48,X47)
        | X48 != cell20
        | X47 != cell10 )
      & ( epred20_2(X48,X47)
        | X48 != cell19
        | X47 != cell9 )
      & ( epred20_2(X48,X47)
        | X48 != cell18
        | X47 != cell8 )
      & ( epred20_2(X48,X47)
        | X48 != cell17
        | X47 != cell7 )
      & ( epred20_2(X48,X47)
        | X48 != cell16
        | X47 != cell6 )
      & ( epred20_2(X48,X47)
        | ~ epred19_2(X48,X47) )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X48 = cell18
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X48 = cell18
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X48 = cell18
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X48 = cell18
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X47 = cell8
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X47 = cell8
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X47 = cell8
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X48 = cell17
        | X47 = cell8
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X48 = cell18
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X48 = cell18
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X48 = cell18
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X48 = cell18
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X47 = cell8
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X47 = cell8
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X47 = cell8
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X48 = cell16
        | X47 = cell7
        | X47 = cell8
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X48 = cell18
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X48 = cell18
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X48 = cell18
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X48 = cell18
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X47 = cell8
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X47 = cell8
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X47 = cell8
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X48 = cell17
        | X47 = cell8
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X48 = cell18
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X48 = cell18
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X48 = cell18
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X48 = cell18
        | X47 = cell9
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X47 = cell8
        | X48 = cell19
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X47 = cell8
        | X48 = cell19
        | X47 = cell10 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X47 = cell8
        | X47 = cell9
        | X48 = cell20 )
      & ( ~ epred20_2(X48,X47)
        | epred19_2(X48,X47)
        | X47 = cell6
        | X47 = cell7
        | X47 = cell8
        | X47 = cell9
        | X47 = cell10 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_679])])])]) ).

cnf(c_0_698,plain,
    ( epred20_2(cell1,cell100)
    | epred21_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_681]),c_0_682]),c_0_683]),c_0_684]),c_0_685]),c_0_686]) ).

cnf(c_0_699,plain,
    cell25 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_700,plain,
    cell14 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_701,plain,
    cell13 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_702,plain,
    cell12 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_703,plain,
    cell11 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

fof(c_0_704,plain,
    cell9 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_692]) ).

fof(c_0_705,plain,
    cell8 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_693]) ).

fof(c_0_706,plain,
    cell7 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_694]) ).

fof(c_0_707,plain,
    cell6 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_695]) ).

fof(c_0_708,plain,
    cell9 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29904]) ).

fof(c_0_709,plain,
    cell8 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29912]) ).

fof(c_0_710,plain,
    cell7 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29919]) ).

fof(c_0_711,plain,
    cell6 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29925]) ).

fof(c_0_712,plain,
    ! [X2,X1] :
      ( epred19_2(X1,X2)
    <=> ( ( X1 = cell15
          & X2 = cell5 )
        | ( X1 = cell14
          & X2 = cell4 )
        | ( X1 = cell13
          & X2 = cell3 )
        | ( X1 = cell12
          & X2 = cell2 )
        | ( X1 = cell11
          & X2 = cell1 )
        | epred18_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_665,c_0_696]) ).

cnf(c_0_713,plain,
    ( ~ epred20_2(X1,X2)
    | epred19_2(X1,X2)
    | X2 = cell6
    | X2 = cell7
    | X2 = cell8
    | X2 = cell9
    | X1 = cell20 ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_714,plain,
    ( epred20_2(cell100,cell1)
    | epred20_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_698]),c_0_699]),c_0_700]),c_0_701]),c_0_702]),c_0_703]) ).

cnf(c_0_715,plain,
    cell9 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_716,plain,
    cell8 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_717,plain,
    cell7 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_718,plain,
    cell6 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

fof(c_0_719,plain,
    cell9 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_708]) ).

fof(c_0_720,plain,
    cell8 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_709]) ).

fof(c_0_721,plain,
    cell7 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_710]) ).

fof(c_0_722,plain,
    cell6 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_711]) ).

fof(c_0_723,plain,
    cell15 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29835]) ).

fof(c_0_724,plain,
    cell4 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29935]) ).

fof(c_0_725,plain,
    cell3 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29938]) ).

fof(c_0_726,plain,
    cell2 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29940]) ).

fof(c_0_727,plain,
    ! [X2,X1] :
      ( epred17_2(X1,X2)
    <=> ( ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_728,plain,
    ! [X45,X46] :
      ( ( epred19_2(X46,X45)
        | X46 != cell15
        | X45 != cell5 )
      & ( epred19_2(X46,X45)
        | X46 != cell14
        | X45 != cell4 )
      & ( epred19_2(X46,X45)
        | X46 != cell13
        | X45 != cell3 )
      & ( epred19_2(X46,X45)
        | X46 != cell12
        | X45 != cell2 )
      & ( epred19_2(X46,X45)
        | X46 != cell11
        | X45 != cell1 )
      & ( epred19_2(X46,X45)
        | ~ epred18_2(X46,X45) )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X46 = cell13
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X46 = cell13
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X46 = cell13
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X46 = cell13
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X45 = cell3
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X45 = cell3
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X45 = cell3
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X46 = cell12
        | X45 = cell3
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X46 = cell13
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X46 = cell13
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X46 = cell13
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X46 = cell13
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X45 = cell3
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X45 = cell3
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X45 = cell3
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X46 = cell11
        | X45 = cell2
        | X45 = cell3
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X46 = cell13
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X46 = cell13
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X46 = cell13
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X46 = cell13
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X45 = cell3
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X45 = cell3
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X45 = cell3
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X46 = cell12
        | X45 = cell3
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X46 = cell13
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X46 = cell13
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X46 = cell13
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X46 = cell13
        | X45 = cell4
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X45 = cell3
        | X46 = cell14
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X45 = cell3
        | X46 = cell14
        | X45 = cell5 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X45 = cell3
        | X45 = cell4
        | X46 = cell15 )
      & ( ~ epred19_2(X46,X45)
        | epred18_2(X46,X45)
        | X45 = cell1
        | X45 = cell2
        | X45 = cell3
        | X45 = cell4
        | X45 = cell5 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_712])])])]) ).

cnf(c_0_729,plain,
    ( epred19_2(cell1,cell100)
    | epred20_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_714]),c_0_668]),c_0_715]),c_0_716]),c_0_717]),c_0_718]) ).

cnf(c_0_730,plain,
    cell9 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_731,plain,
    cell8 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_732,plain,
    cell7 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_733,plain,
    cell6 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

fof(c_0_734,plain,
    cell15 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_723]) ).

fof(c_0_735,plain,
    cell4 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_724]) ).

fof(c_0_736,plain,
    cell3 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_725]) ).

fof(c_0_737,plain,
    cell2 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_726]) ).

fof(c_0_738,plain,
    cell15 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29836]) ).

fof(c_0_739,plain,
    cell4 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29934]) ).

fof(c_0_740,plain,
    cell3 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29937]) ).

fof(c_0_741,plain,
    cell2 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29939]) ).

fof(c_0_742,plain,
    ! [X2,X1] :
      ( epred18_2(X1,X2)
    <=> ( ( X1 = cell100
          & X2 = cell99 )
        | ( X1 = cell99
          & X2 = cell98 )
        | ( X1 = cell98
          & X2 = cell97 )
        | ( X1 = cell97
          & X2 = cell96 )
        | ( X1 = cell96
          & X2 = cell95 )
        | epred17_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_696,c_0_727]) ).

cnf(c_0_743,plain,
    ( ~ epred19_2(X1,X2)
    | epred18_2(X1,X2)
    | X2 = cell1
    | X2 = cell2
    | X2 = cell3
    | X2 = cell4
    | X1 = cell15 ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_744,plain,
    ( epred19_2(cell100,cell1)
    | epred19_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_729]),c_0_658]),c_0_730]),c_0_731]),c_0_732]),c_0_733]) ).

cnf(c_0_745,plain,
    cell15 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_746,plain,
    cell4 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_747,plain,
    cell3 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_748,plain,
    cell2 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

fof(c_0_749,plain,
    cell15 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_738]) ).

fof(c_0_750,plain,
    cell4 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_739]) ).

fof(c_0_751,plain,
    cell3 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_740]) ).

fof(c_0_752,plain,
    cell2 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_741]) ).

fof(c_0_753,plain,
    cell95 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25476]) ).

fof(c_0_754,plain,
    ! [X2,X1] :
      ( epred16_2(X1,X2)
    <=> ( ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_755,plain,
    ! [X43,X44] :
      ( ( epred18_2(X44,X43)
        | X44 != cell100
        | X43 != cell99 )
      & ( epred18_2(X44,X43)
        | X44 != cell99
        | X43 != cell98 )
      & ( epred18_2(X44,X43)
        | X44 != cell98
        | X43 != cell97 )
      & ( epred18_2(X44,X43)
        | X44 != cell97
        | X43 != cell96 )
      & ( epred18_2(X44,X43)
        | X44 != cell96
        | X43 != cell95 )
      & ( epred18_2(X44,X43)
        | ~ epred17_2(X44,X43) )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X44 = cell98
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X44 = cell98
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X44 = cell98
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X44 = cell98
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X43 = cell97
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X43 = cell97
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X43 = cell97
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X44 = cell97
        | X43 = cell97
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X44 = cell98
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X44 = cell98
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X44 = cell98
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X44 = cell98
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X43 = cell97
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X43 = cell97
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X43 = cell97
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X44 = cell96
        | X43 = cell96
        | X43 = cell97
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X44 = cell98
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X44 = cell98
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X44 = cell98
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X44 = cell98
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X43 = cell97
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X43 = cell97
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X43 = cell97
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X44 = cell97
        | X43 = cell97
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X44 = cell98
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X44 = cell98
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X44 = cell98
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X44 = cell98
        | X43 = cell98
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X43 = cell97
        | X44 = cell99
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X43 = cell97
        | X44 = cell99
        | X43 = cell99 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X43 = cell97
        | X43 = cell98
        | X44 = cell100 )
      & ( ~ epred18_2(X44,X43)
        | epred17_2(X44,X43)
        | X43 = cell95
        | X43 = cell96
        | X43 = cell97
        | X43 = cell98
        | X43 = cell99 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_742])])])]) ).

cnf(c_0_756,plain,
    ( ~ epred19_2(X1,X2)
    | epred18_2(X1,X2)
    | X1 = cell11
    | X2 = cell2
    | X2 = cell3
    | X2 = cell4
    | X1 = cell15 ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_757,plain,
    ( epred18_2(cell1,cell100)
    | epred19_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_744]),c_0_745]),c_0_746]),c_0_747]),c_0_748]),c_0_219]) ).

cnf(c_0_758,plain,
    cell15 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_759,plain,
    cell4 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_760,plain,
    cell3 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_761,plain,
    cell2 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

fof(c_0_762,plain,
    cell95 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_753]) ).

fof(c_0_763,plain,
    cell99 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof25089]) ).

fof(c_0_764,plain,
    ! [X2,X1] :
      ( epred17_2(X1,X2)
    <=> ( ( X1 = cell95
          & X2 = cell94 )
        | ( X1 = cell94
          & X2 = cell93 )
        | ( X1 = cell93
          & X2 = cell92 )
        | ( X1 = cell92
          & X2 = cell91 )
        | ( X1 = cell90
          & X2 = cell89 )
        | epred16_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_727,c_0_754]) ).

cnf(c_0_765,plain,
    ( ~ epred18_2(X1,X2)
    | epred17_2(X1,X2)
    | X2 = cell95
    | X2 = cell96
    | X2 = cell97
    | X2 = cell98
    | X1 = cell100 ),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_766,plain,
    ( epred18_2(cell100,cell1)
    | epred18_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_757]),c_0_758]),c_0_686]),c_0_759]),c_0_760]),c_0_761]) ).

cnf(c_0_767,plain,
    cell95 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

fof(c_0_768,plain,
    cell99 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_763]) ).

fof(c_0_769,plain,
    ! [X2,X1] :
      ( epred15_2(X1,X2)
    <=> ( ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_770,plain,
    ! [X41,X42] :
      ( ( epred17_2(X42,X41)
        | X42 != cell95
        | X41 != cell94 )
      & ( epred17_2(X42,X41)
        | X42 != cell94
        | X41 != cell93 )
      & ( epred17_2(X42,X41)
        | X42 != cell93
        | X41 != cell92 )
      & ( epred17_2(X42,X41)
        | X42 != cell92
        | X41 != cell91 )
      & ( epred17_2(X42,X41)
        | X42 != cell90
        | X41 != cell89 )
      & ( epred17_2(X42,X41)
        | ~ epred16_2(X42,X41) )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X42 = cell93
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X42 = cell93
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X42 = cell93
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X42 = cell93
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X41 = cell92
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X41 = cell92
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X41 = cell92
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X42 = cell92
        | X41 = cell92
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X42 = cell93
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X42 = cell93
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X42 = cell93
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X42 = cell93
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X41 = cell92
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X41 = cell92
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X41 = cell92
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X42 = cell90
        | X41 = cell91
        | X41 = cell92
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X42 = cell93
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X42 = cell93
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X42 = cell93
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X42 = cell93
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X41 = cell92
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X41 = cell92
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X41 = cell92
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X42 = cell92
        | X41 = cell92
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X42 = cell93
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X42 = cell93
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X42 = cell93
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X42 = cell93
        | X41 = cell93
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X41 = cell92
        | X42 = cell94
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X41 = cell92
        | X42 = cell94
        | X41 = cell94 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X41 = cell92
        | X41 = cell93
        | X42 = cell95 )
      & ( ~ epred17_2(X42,X41)
        | epred16_2(X42,X41)
        | X41 = cell89
        | X41 = cell91
        | X41 = cell92
        | X41 = cell93
        | X41 = cell94 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_764])])])]) ).

cnf(c_0_771,plain,
    ( ~ epred18_2(X2,X1)
    | epred17_2(X2,X1)
    | X2 = cell96
    | X2 = cell97
    | X2 = cell98
    | X2 = cell99
    | X1 = cell99 ),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_772,plain,
    ( epred17_2(cell1,cell100)
    | epred18_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_766]),c_0_219]),c_0_240]),c_0_241]),c_0_242]),c_0_767]) ).

cnf(c_0_773,plain,
    cell99 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

fof(c_0_774,plain,
    cell90 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof25936]) ).

fof(c_0_775,plain,
    ! [X2,X1] :
      ( epred16_2(X1,X2)
    <=> ( ( X1 = cell89
          & X2 = cell88 )
        | ( X1 = cell88
          & X2 = cell87 )
        | ( X1 = cell87
          & X2 = cell86 )
        | ( X1 = cell86
          & X2 = cell85 )
        | ( X1 = cell85
          & X2 = cell84 )
        | epred15_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_754,c_0_769]) ).

cnf(c_0_776,plain,
    ( ~ epred17_2(X2,X1)
    | epred16_2(X2,X1)
    | X2 = cell90
    | X2 = cell92
    | X2 = cell93
    | X2 = cell94
    | X1 = cell94 ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_777,plain,
    ( epred17_2(cell100,cell1)
    | epred17_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_772]),c_0_773]),c_0_239]),c_0_240]),c_0_241]),c_0_242]) ).

fof(c_0_778,plain,
    cell90 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_774]) ).

fof(c_0_779,plain,
    ! [X2,X1] :
      ( epred14_2(X1,X2)
    <=> ( ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_780,plain,
    ! [X39,X40] :
      ( ( epred16_2(X40,X39)
        | X40 != cell89
        | X39 != cell88 )
      & ( epred16_2(X40,X39)
        | X40 != cell88
        | X39 != cell87 )
      & ( epred16_2(X40,X39)
        | X40 != cell87
        | X39 != cell86 )
      & ( epred16_2(X40,X39)
        | X40 != cell86
        | X39 != cell85 )
      & ( epred16_2(X40,X39)
        | X40 != cell85
        | X39 != cell84 )
      & ( epred16_2(X40,X39)
        | ~ epred15_2(X40,X39) )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X40 = cell87
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X40 = cell87
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X40 = cell87
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X40 = cell87
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X39 = cell86
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X39 = cell86
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X39 = cell86
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X40 = cell86
        | X39 = cell86
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X40 = cell87
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X40 = cell87
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X40 = cell87
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X40 = cell87
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X39 = cell86
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X39 = cell86
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X39 = cell86
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X40 = cell85
        | X39 = cell85
        | X39 = cell86
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X40 = cell87
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X40 = cell87
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X40 = cell87
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X40 = cell87
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X39 = cell86
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X39 = cell86
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X39 = cell86
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X40 = cell86
        | X39 = cell86
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X40 = cell87
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X40 = cell87
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X40 = cell87
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X40 = cell87
        | X39 = cell87
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X39 = cell86
        | X40 = cell88
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X39 = cell86
        | X40 = cell88
        | X39 = cell88 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X39 = cell86
        | X39 = cell87
        | X40 = cell89 )
      & ( ~ epred16_2(X40,X39)
        | epred15_2(X40,X39)
        | X39 = cell84
        | X39 = cell85
        | X39 = cell86
        | X39 = cell87
        | X39 = cell88 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_775])])])]) ).

cnf(c_0_781,plain,
    ( epred16_2(cell1,cell100)
    | epred17_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_275]),c_0_257]),c_0_258]),c_0_259]),c_0_238]) ).

cnf(c_0_782,plain,
    cell90 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

fof(c_0_783,plain,
    ! [X2,X1] :
      ( epred15_2(X1,X2)
    <=> ( ( X1 = cell84
          & X2 = cell83 )
        | ( X1 = cell83
          & X2 = cell82 )
        | ( X1 = cell82
          & X2 = cell81 )
        | ( X1 = cell80
          & X2 = cell79 )
        | ( X1 = cell79
          & X2 = cell78 )
        | epred14_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_769,c_0_779]) ).

cnf(c_0_784,plain,
    ( ~ epred16_2(X1,X2)
    | epred15_2(X1,X2)
    | X2 = cell84
    | X2 = cell85
    | X2 = cell86
    | X2 = cell87
    | X1 = cell89 ),
    inference(split_conjunct,[status(thm)],[c_0_780]) ).

cnf(c_0_785,plain,
    ( epred16_2(cell100,cell1)
    | epred16_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_781]),c_0_257]),c_0_275]),c_0_276]),c_0_277]),c_0_782]) ).

fof(c_0_786,plain,
    cell79 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof26859]) ).

fof(c_0_787,plain,
    ! [X2,X1] :
      ( epred13_2(X1,X2)
    <=> ( ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_788,plain,
    ! [X37,X38] :
      ( ( epred15_2(X38,X37)
        | X38 != cell84
        | X37 != cell83 )
      & ( epred15_2(X38,X37)
        | X38 != cell83
        | X37 != cell82 )
      & ( epred15_2(X38,X37)
        | X38 != cell82
        | X37 != cell81 )
      & ( epred15_2(X38,X37)
        | X38 != cell80
        | X37 != cell79 )
      & ( epred15_2(X38,X37)
        | X38 != cell79
        | X37 != cell78 )
      & ( epred15_2(X38,X37)
        | ~ epred14_2(X38,X37) )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X38 = cell82
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X38 = cell82
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X38 = cell82
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X38 = cell82
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X37 = cell81
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X37 = cell81
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X37 = cell81
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X38 = cell80
        | X37 = cell81
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X38 = cell82
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X38 = cell82
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X38 = cell82
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X38 = cell82
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X37 = cell81
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X37 = cell81
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X37 = cell81
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X38 = cell79
        | X37 = cell79
        | X37 = cell81
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X38 = cell82
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X38 = cell82
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X38 = cell82
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X38 = cell82
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X37 = cell81
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X37 = cell81
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X37 = cell81
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X38 = cell80
        | X37 = cell81
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X38 = cell82
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X38 = cell82
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X38 = cell82
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X38 = cell82
        | X37 = cell82
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X37 = cell81
        | X38 = cell83
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X37 = cell81
        | X38 = cell83
        | X37 = cell83 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X37 = cell81
        | X37 = cell82
        | X38 = cell84 )
      & ( ~ epred15_2(X38,X37)
        | epred14_2(X38,X37)
        | X37 = cell78
        | X37 = cell79
        | X37 = cell81
        | X37 = cell82
        | X37 = cell83 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_783])])])]) ).

cnf(c_0_789,plain,
    ( epred15_2(cell1,cell100)
    | epred16_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_785]),c_0_289]),c_0_222]),c_0_223]),c_0_256]),c_0_334]) ).

fof(c_0_790,plain,
    cell79 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_786]) ).

fof(c_0_791,plain,
    cell79 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof26860]) ).

fof(c_0_792,plain,
    ! [X2,X1] :
      ( epred14_2(X1,X2)
    <=> ( ( X1 = cell78
          & X2 = cell77 )
        | ( X1 = cell77
          & X2 = cell76 )
        | ( X1 = cell76
          & X2 = cell75 )
        | ( X1 = cell75
          & X2 = cell74 )
        | ( X1 = cell74
          & X2 = cell73 )
        | epred13_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_779,c_0_787]) ).

cnf(c_0_793,plain,
    ( ~ epred15_2(X2,X1)
    | epred14_2(X2,X1)
    | X2 = cell79
    | X2 = cell80
    | X2 = cell82
    | X2 = cell83
    | X1 = cell83 ),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_794,plain,
    ( epred15_2(cell100,cell1)
    | epred15_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_789]),c_0_220]),c_0_291]),c_0_292]),c_0_274]),c_0_317]) ).

cnf(c_0_795,plain,
    cell79 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

fof(c_0_796,plain,
    cell79 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_791]) ).

fof(c_0_797,plain,
    cell77 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27015]) ).

fof(c_0_798,plain,
    cell77 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27014]) ).

fof(c_0_799,plain,
    cell76 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27090]) ).

fof(c_0_800,plain,
    cell74 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27239]) ).

fof(c_0_801,plain,
    ! [X2,X1] :
      ( epred12_2(X1,X2)
    <=> ( ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_802,plain,
    ! [X35,X36] :
      ( ( epred14_2(X36,X35)
        | X36 != cell78
        | X35 != cell77 )
      & ( epred14_2(X36,X35)
        | X36 != cell77
        | X35 != cell76 )
      & ( epred14_2(X36,X35)
        | X36 != cell76
        | X35 != cell75 )
      & ( epred14_2(X36,X35)
        | X36 != cell75
        | X35 != cell74 )
      & ( epred14_2(X36,X35)
        | X36 != cell74
        | X35 != cell73 )
      & ( epred14_2(X36,X35)
        | ~ epred13_2(X36,X35) )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X36 = cell76
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X36 = cell76
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X36 = cell76
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X36 = cell76
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X35 = cell75
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X35 = cell75
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X35 = cell75
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X36 = cell75
        | X35 = cell75
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X36 = cell76
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X36 = cell76
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X36 = cell76
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X36 = cell76
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X35 = cell75
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X35 = cell75
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X35 = cell75
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X36 = cell74
        | X35 = cell74
        | X35 = cell75
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X36 = cell76
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X36 = cell76
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X36 = cell76
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X36 = cell76
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X35 = cell75
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X35 = cell75
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X35 = cell75
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X36 = cell75
        | X35 = cell75
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X36 = cell76
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X36 = cell76
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X36 = cell76
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X36 = cell76
        | X35 = cell76
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X35 = cell75
        | X36 = cell77
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X35 = cell75
        | X36 = cell77
        | X35 = cell77 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X35 = cell75
        | X35 = cell76
        | X36 = cell78 )
      & ( ~ epred14_2(X36,X35)
        | epred13_2(X36,X35)
        | X35 = cell73
        | X35 = cell74
        | X35 = cell75
        | X35 = cell76
        | X35 = cell77 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_792])])])]) ).

cnf(c_0_803,plain,
    ( epred14_2(cell1,cell100)
    | epred15_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_794]),c_0_335]),c_0_318]),c_0_319]),c_0_302]),c_0_795]) ).

cnf(c_0_804,plain,
    cell79 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

fof(c_0_805,plain,
    cell77 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_797]) ).

fof(c_0_806,plain,
    cell77 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_798]) ).

fof(c_0_807,plain,
    cell76 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_799]) ).

fof(c_0_808,plain,
    cell74 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_800]) ).

fof(c_0_809,plain,
    cell76 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27091]) ).

fof(c_0_810,plain,
    cell74 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27240]) ).

fof(c_0_811,plain,
    ! [X2,X1] :
      ( epred13_2(X1,X2)
    <=> ( ( X1 = cell73
          & X2 = cell72 )
        | ( X1 = cell72
          & X2 = cell71 )
        | ( X1 = cell70
          & X2 = cell69 )
        | ( X1 = cell69
          & X2 = cell68 )
        | ( X1 = cell68
          & X2 = cell67 )
        | epred12_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_787,c_0_801]) ).

cnf(c_0_812,plain,
    ( ~ epred14_2(X2,X1)
    | epred13_2(X2,X1)
    | X2 = cell74
    | X2 = cell75
    | X2 = cell76
    | X2 = cell77
    | X1 = cell77 ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_813,plain,
    ( epred14_2(cell100,cell1)
    | epred14_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_803]),c_0_318]),c_0_335]),c_0_336]),c_0_288]),c_0_804]) ).

cnf(c_0_814,plain,
    cell77 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_815,plain,
    cell77 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_816,plain,
    cell76 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_817,plain,
    cell74 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

fof(c_0_818,plain,
    cell76 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_809]) ).

fof(c_0_819,plain,
    cell74 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_810]) ).

fof(c_0_820,plain,
    cell73 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27312]) ).

fof(c_0_821,plain,
    cell71 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27385]) ).

fof(c_0_822,plain,
    ! [X2,X1] :
      ( epred11_2(X1,X2)
    <=> ( ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_823,plain,
    ! [X33,X34] :
      ( ( epred13_2(X34,X33)
        | X34 != cell73
        | X33 != cell72 )
      & ( epred13_2(X34,X33)
        | X34 != cell72
        | X33 != cell71 )
      & ( epred13_2(X34,X33)
        | X34 != cell70
        | X33 != cell69 )
      & ( epred13_2(X34,X33)
        | X34 != cell69
        | X33 != cell68 )
      & ( epred13_2(X34,X33)
        | X34 != cell68
        | X33 != cell67 )
      & ( epred13_2(X34,X33)
        | ~ epred12_2(X34,X33) )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X34 = cell70
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X34 = cell70
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X34 = cell70
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X34 = cell70
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X33 = cell69
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X33 = cell69
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X33 = cell69
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X34 = cell69
        | X33 = cell69
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X34 = cell70
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X34 = cell70
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X34 = cell70
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X34 = cell70
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X33 = cell69
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X33 = cell69
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X33 = cell69
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X34 = cell68
        | X33 = cell68
        | X33 = cell69
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X34 = cell70
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X34 = cell70
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X34 = cell70
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X34 = cell70
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X33 = cell69
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X33 = cell69
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X33 = cell69
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X34 = cell69
        | X33 = cell69
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X34 = cell70
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X34 = cell70
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X34 = cell70
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X34 = cell70
        | X33 = cell71
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X33 = cell69
        | X34 = cell72
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X33 = cell69
        | X34 = cell72
        | X33 = cell72 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X33 = cell69
        | X33 = cell71
        | X34 = cell73 )
      & ( ~ epred13_2(X34,X33)
        | epred12_2(X34,X33)
        | X33 = cell67
        | X33 = cell68
        | X33 = cell69
        | X33 = cell71
        | X33 = cell72 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_811])])])]) ).

cnf(c_0_824,plain,
    ( epred13_2(cell1,cell100)
    | epred14_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_813]),c_0_814]),c_0_815]),c_0_816]),c_0_333]),c_0_817]) ).

cnf(c_0_825,plain,
    cell76 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_826,plain,
    cell74 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

fof(c_0_827,plain,
    cell73 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_820]) ).

fof(c_0_828,plain,
    cell71 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_821]) ).

fof(c_0_829,plain,
    cell73 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof27313]) ).

fof(c_0_830,plain,
    cell71 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof27384]) ).

fof(c_0_831,plain,
    ! [X2,X1] :
      ( epred12_2(X1,X2)
    <=> ( ( X1 = cell67
          & X2 = cell66 )
        | ( X1 = cell66
          & X2 = cell65 )
        | ( X1 = cell65
          & X2 = cell64 )
        | ( X1 = cell64
          & X2 = cell63 )
        | ( X1 = cell63
          & X2 = cell62 )
        | epred11_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_801,c_0_822]) ).

cnf(c_0_832,plain,
    ( ~ epred13_2(X1,X2)
    | epred12_2(X1,X2)
    | X2 = cell67
    | X2 = cell68
    | X2 = cell69
    | X2 = cell71
    | X1 = cell73 ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_833,plain,
    ( epred13_2(cell100,cell1)
    | epred13_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_824]),c_0_815]),c_0_814]),c_0_825]),c_0_316]),c_0_826]) ).

cnf(c_0_834,plain,
    cell73 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_827]) ).

cnf(c_0_835,plain,
    cell71 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

fof(c_0_836,plain,
    cell73 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_829]) ).

fof(c_0_837,plain,
    cell71 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_830]) ).

fof(c_0_838,plain,
    ! [X2,X1] :
      ( epred10_2(X1,X2)
    <=> ( ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_839,plain,
    ! [X31,X32] :
      ( ( epred12_2(X32,X31)
        | X32 != cell67
        | X31 != cell66 )
      & ( epred12_2(X32,X31)
        | X32 != cell66
        | X31 != cell65 )
      & ( epred12_2(X32,X31)
        | X32 != cell65
        | X31 != cell64 )
      & ( epred12_2(X32,X31)
        | X32 != cell64
        | X31 != cell63 )
      & ( epred12_2(X32,X31)
        | X32 != cell63
        | X31 != cell62 )
      & ( epred12_2(X32,X31)
        | ~ epred11_2(X32,X31) )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X32 = cell65
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X32 = cell65
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X32 = cell65
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X32 = cell65
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X31 = cell64
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X31 = cell64
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X31 = cell64
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X32 = cell64
        | X31 = cell64
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X32 = cell65
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X32 = cell65
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X32 = cell65
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X32 = cell65
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X31 = cell64
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X31 = cell64
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X31 = cell64
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X32 = cell63
        | X31 = cell63
        | X31 = cell64
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X32 = cell65
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X32 = cell65
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X32 = cell65
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X32 = cell65
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X31 = cell64
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X31 = cell64
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X31 = cell64
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X32 = cell64
        | X31 = cell64
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X32 = cell65
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X32 = cell65
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X32 = cell65
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X32 = cell65
        | X31 = cell65
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X31 = cell64
        | X32 = cell66
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X31 = cell64
        | X32 = cell66
        | X31 = cell66 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X31 = cell64
        | X31 = cell65
        | X32 = cell67 )
      & ( ~ epred12_2(X32,X31)
        | epred11_2(X32,X31)
        | X31 = cell62
        | X31 = cell63
        | X31 = cell64
        | X31 = cell65
        | X31 = cell66 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_831])])])]) ).

cnf(c_0_840,plain,
    ( epred12_2(cell1,cell100)
    | epred13_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_832,c_0_833]),c_0_834]),c_0_835]),c_0_349]),c_0_350]),c_0_351]) ).

cnf(c_0_841,plain,
    cell73 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_842,plain,
    cell71 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

fof(c_0_843,plain,
    ! [X2,X1] :
      ( epred11_2(X1,X2)
    <=> ( ( X1 = cell62
          & X2 = cell61 )
        | ( X1 = cell60
          & X2 = cell59 )
        | ( X1 = cell59
          & X2 = cell58 )
        | ( X1 = cell58
          & X2 = cell57 )
        | ( X1 = cell57
          & X2 = cell56 )
        | epred10_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_822,c_0_838]) ).

cnf(c_0_844,plain,
    ( ~ epred12_2(X2,X1)
    | epred11_2(X2,X1)
    | X2 = cell63
    | X2 = cell64
    | X2 = cell65
    | X2 = cell66
    | X1 = cell66 ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_845,plain,
    ( epred12_2(cell100,cell1)
    | epred12_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_832,c_0_840]),c_0_841]),c_0_842]),c_0_364]),c_0_365]),c_0_366]) ).

fof(c_0_846,plain,
    ! [X2,X1] :
      ( epred9_2(X1,X2)
    <=> ( ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_847,plain,
    ! [X29,X30] :
      ( ( epred11_2(X30,X29)
        | X30 != cell62
        | X29 != cell61 )
      & ( epred11_2(X30,X29)
        | X30 != cell60
        | X29 != cell59 )
      & ( epred11_2(X30,X29)
        | X30 != cell59
        | X29 != cell58 )
      & ( epred11_2(X30,X29)
        | X30 != cell58
        | X29 != cell57 )
      & ( epred11_2(X30,X29)
        | X30 != cell57
        | X29 != cell56 )
      & ( epred11_2(X30,X29)
        | ~ epred10_2(X30,X29) )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X30 = cell59
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X30 = cell59
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X30 = cell59
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X30 = cell59
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X29 = cell58
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X29 = cell58
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X29 = cell58
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X30 = cell58
        | X29 = cell58
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X30 = cell59
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X30 = cell59
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X30 = cell59
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X30 = cell59
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X29 = cell58
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X29 = cell58
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X29 = cell58
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X30 = cell57
        | X29 = cell57
        | X29 = cell58
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X30 = cell59
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X30 = cell59
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X30 = cell59
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X30 = cell59
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X29 = cell58
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X29 = cell58
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X29 = cell58
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X30 = cell58
        | X29 = cell58
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X30 = cell59
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X30 = cell59
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X30 = cell59
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X30 = cell59
        | X29 = cell59
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X29 = cell58
        | X30 = cell60
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X29 = cell58
        | X30 = cell60
        | X29 = cell61 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X29 = cell58
        | X29 = cell59
        | X30 = cell62 )
      & ( ~ epred11_2(X30,X29)
        | epred10_2(X30,X29)
        | X29 = cell56
        | X29 = cell57
        | X29 = cell58
        | X29 = cell59
        | X29 = cell61 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_843])])])]) ).

cnf(c_0_848,plain,
    ( epred11_2(cell1,cell100)
    | epred12_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_845]),c_0_352]),c_0_367]),c_0_448]),c_0_395]),c_0_396]) ).

fof(c_0_849,plain,
    ! [X2,X1] :
      ( epred10_2(X1,X2)
    <=> ( ( X1 = cell56
          & X2 = cell55 )
        | ( X1 = cell55
          & X2 = cell54 )
        | ( X1 = cell54
          & X2 = cell53 )
        | ( X1 = cell53
          & X2 = cell52 )
        | ( X1 = cell52
          & X2 = cell51 )
        | epred9_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_838,c_0_846]) ).

cnf(c_0_850,plain,
    ( ~ epred11_2(X2,X1)
    | epred10_2(X2,X1)
    | X2 = cell57
    | X2 = cell58
    | X2 = cell59
    | X2 = cell60
    | X1 = cell61 ),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_851,plain,
    ( epred11_2(cell100,cell1)
    | epred11_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_848]),c_0_367]),c_0_352]),c_0_466]),c_0_379]),c_0_380]) ).

fof(c_0_852,plain,
    ! [X2,X1] :
      ( epred8_2(X1,X2)
    <=> ( ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_853,plain,
    ! [X27,X28] :
      ( ( epred10_2(X28,X27)
        | X28 != cell56
        | X27 != cell55 )
      & ( epred10_2(X28,X27)
        | X28 != cell55
        | X27 != cell54 )
      & ( epred10_2(X28,X27)
        | X28 != cell54
        | X27 != cell53 )
      & ( epred10_2(X28,X27)
        | X28 != cell53
        | X27 != cell52 )
      & ( epred10_2(X28,X27)
        | X28 != cell52
        | X27 != cell51 )
      & ( epred10_2(X28,X27)
        | ~ epred9_2(X28,X27) )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X28 = cell54
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X28 = cell54
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X28 = cell54
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X28 = cell54
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X27 = cell53
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X27 = cell53
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X27 = cell53
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X28 = cell53
        | X27 = cell53
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X28 = cell54
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X28 = cell54
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X28 = cell54
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X28 = cell54
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X27 = cell53
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X27 = cell53
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X27 = cell53
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X28 = cell52
        | X27 = cell52
        | X27 = cell53
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X28 = cell54
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X28 = cell54
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X28 = cell54
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X28 = cell54
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X27 = cell53
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X27 = cell53
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X27 = cell53
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X28 = cell53
        | X27 = cell53
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X28 = cell54
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X28 = cell54
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X28 = cell54
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X28 = cell54
        | X27 = cell54
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X27 = cell53
        | X28 = cell55
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X27 = cell53
        | X28 = cell55
        | X27 = cell55 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X27 = cell53
        | X27 = cell54
        | X28 = cell56 )
      & ( ~ epred10_2(X28,X27)
        | epred9_2(X28,X27)
        | X27 = cell51
        | X27 = cell52
        | X27 = cell53
        | X27 = cell54
        | X27 = cell55 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_849])])])]) ).

cnf(c_0_854,plain,
    ( epred10_2(cell1,cell100)
    | epred11_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_851]),c_0_382]),c_0_484]),c_0_431]),c_0_432]),c_0_433]) ).

fof(c_0_855,plain,
    ! [X2,X1] :
      ( epred9_2(X1,X2)
    <=> ( ( X1 = cell50
          & X2 = cell49 )
        | ( X1 = cell49
          & X2 = cell48 )
        | ( X1 = cell48
          & X2 = cell47 )
        | ( X1 = cell47
          & X2 = cell46 )
        | ( X1 = cell46
          & X2 = cell45 )
        | epred8_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_846,c_0_852]) ).

cnf(c_0_856,plain,
    ( ~ epred10_2(X2,X1)
    | epred9_2(X2,X1)
    | X2 = cell52
    | X2 = cell53
    | X2 = cell54
    | X2 = cell55
    | X1 = cell55 ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_857,plain,
    ( epred10_2(cell100,cell1)
    | epred10_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_854]),c_0_398]),c_0_502]),c_0_413]),c_0_414]),c_0_415]) ).

fof(c_0_858,plain,
    ! [X2,X1] :
      ( epred7_2(X1,X2)
    <=> ( ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_859,plain,
    ! [X25,X26] :
      ( ( epred9_2(X26,X25)
        | X26 != cell50
        | X25 != cell49 )
      & ( epred9_2(X26,X25)
        | X26 != cell49
        | X25 != cell48 )
      & ( epred9_2(X26,X25)
        | X26 != cell48
        | X25 != cell47 )
      & ( epred9_2(X26,X25)
        | X26 != cell47
        | X25 != cell46 )
      & ( epred9_2(X26,X25)
        | X26 != cell46
        | X25 != cell45 )
      & ( epred9_2(X26,X25)
        | ~ epred8_2(X26,X25) )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X26 = cell48
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X26 = cell48
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X26 = cell48
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X26 = cell48
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X25 = cell47
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X25 = cell47
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X25 = cell47
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X26 = cell47
        | X25 = cell47
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X26 = cell48
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X26 = cell48
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X26 = cell48
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X26 = cell48
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X25 = cell47
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X25 = cell47
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X25 = cell47
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X26 = cell46
        | X25 = cell46
        | X25 = cell47
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X26 = cell48
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X26 = cell48
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X26 = cell48
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X26 = cell48
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X25 = cell47
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X25 = cell47
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X25 = cell47
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X26 = cell47
        | X25 = cell47
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X26 = cell48
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X26 = cell48
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X26 = cell48
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X26 = cell48
        | X25 = cell48
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X25 = cell47
        | X26 = cell49
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X25 = cell47
        | X26 = cell49
        | X25 = cell49 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X25 = cell47
        | X25 = cell48
        | X26 = cell50 )
      & ( ~ epred9_2(X26,X25)
        | epred8_2(X26,X25)
        | X25 = cell45
        | X25 = cell46
        | X25 = cell47
        | X25 = cell48
        | X25 = cell49 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_855])])])]) ).

cnf(c_0_860,plain,
    ( epred9_2(cell1,cell100)
    | epred10_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_857]),c_0_534]),c_0_520]),c_0_467]),c_0_468]),c_0_469]) ).

fof(c_0_861,plain,
    ! [X2,X1] :
      ( epred8_2(X1,X2)
    <=> ( ( X1 = cell45
          & X2 = cell44 )
        | ( X1 = cell44
          & X2 = cell43 )
        | ( X1 = cell43
          & X2 = cell42 )
        | ( X1 = cell42
          & X2 = cell41 )
        | ( X1 = cell40
          & X2 = cell39 )
        | epred7_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_852,c_0_858]) ).

cnf(c_0_862,plain,
    ( ~ epred9_2(X2,X1)
    | epred8_2(X2,X1)
    | X2 = cell46
    | X2 = cell47
    | X2 = cell48
    | X2 = cell49
    | X1 = cell49 ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_863,plain,
    ( epred9_2(cell100,cell1)
    | epred9_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_860]),c_0_520]),c_0_534]),c_0_449]),c_0_450]),c_0_451]) ).

fof(c_0_864,plain,
    cell39 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29200]) ).

fof(c_0_865,plain,
    ! [X2,X1] :
      ( epred6_2(X1,X2)
    <=> ( ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_866,plain,
    ! [X23,X24] :
      ( ( epred8_2(X24,X23)
        | X24 != cell45
        | X23 != cell44 )
      & ( epred8_2(X24,X23)
        | X24 != cell44
        | X23 != cell43 )
      & ( epred8_2(X24,X23)
        | X24 != cell43
        | X23 != cell42 )
      & ( epred8_2(X24,X23)
        | X24 != cell42
        | X23 != cell41 )
      & ( epred8_2(X24,X23)
        | X24 != cell40
        | X23 != cell39 )
      & ( epred8_2(X24,X23)
        | ~ epred7_2(X24,X23) )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X24 = cell43
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X24 = cell43
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X24 = cell43
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X24 = cell43
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X23 = cell42
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X23 = cell42
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X23 = cell42
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X24 = cell42
        | X23 = cell42
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X24 = cell43
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X24 = cell43
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X24 = cell43
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X24 = cell43
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X23 = cell42
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X23 = cell42
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X23 = cell42
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X24 = cell40
        | X23 = cell41
        | X23 = cell42
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X24 = cell43
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X24 = cell43
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X24 = cell43
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X24 = cell43
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X23 = cell42
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X23 = cell42
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X23 = cell42
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X24 = cell42
        | X23 = cell42
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X24 = cell43
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X24 = cell43
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X24 = cell43
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X24 = cell43
        | X23 = cell43
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X23 = cell42
        | X24 = cell44
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X23 = cell42
        | X24 = cell44
        | X23 = cell44 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X23 = cell42
        | X23 = cell43
        | X24 = cell45 )
      & ( ~ epred8_2(X24,X23)
        | epred7_2(X24,X23)
        | X23 = cell39
        | X23 = cell41
        | X23 = cell42
        | X23 = cell43
        | X23 = cell44 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_861])])])]) ).

cnf(c_0_867,plain,
    ( epred8_2(cell1,cell100)
    | epred9_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_863]),c_0_485]),c_0_503]),c_0_504]),c_0_505]),c_0_506]) ).

fof(c_0_868,plain,
    cell39 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_864]) ).

fof(c_0_869,plain,
    cell39 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29199]) ).

fof(c_0_870,plain,
    ! [X2,X1] :
      ( epred7_2(X1,X2)
    <=> ( ( X1 = cell39
          & X2 = cell38 )
        | ( X1 = cell38
          & X2 = cell37 )
        | ( X1 = cell37
          & X2 = cell36 )
        | ( X1 = cell36
          & X2 = cell35 )
        | ( X1 = cell35
          & X2 = cell34 )
        | epred6_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_858,c_0_865]) ).

cnf(c_0_871,plain,
    ( ~ epred8_2(X1,X2)
    | epred7_2(X1,X2)
    | X2 = cell39
    | X2 = cell41
    | X2 = cell42
    | X2 = cell43
    | X1 = cell45 ),
    inference(split_conjunct,[status(thm)],[c_0_866]) ).

cnf(c_0_872,plain,
    ( epred8_2(cell100,cell1)
    | epred8_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_867]),c_0_503]),c_0_485]),c_0_486]),c_0_487]),c_0_488]) ).

cnf(c_0_873,plain,
    cell39 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

fof(c_0_874,plain,
    cell39 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_869]) ).

fof(c_0_875,plain,
    cell38 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29238]) ).

fof(c_0_876,plain,
    cell38 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29237]) ).

fof(c_0_877,plain,
    cell37 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29274]) ).

fof(c_0_878,plain,
    cell36 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29310]) ).

fof(c_0_879,plain,
    ! [X2,X1] :
      ( epred5_2(X1,X2)
    <=> ( ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_880,plain,
    ! [X21,X22] :
      ( ( epred7_2(X22,X21)
        | X22 != cell39
        | X21 != cell38 )
      & ( epred7_2(X22,X21)
        | X22 != cell38
        | X21 != cell37 )
      & ( epred7_2(X22,X21)
        | X22 != cell37
        | X21 != cell36 )
      & ( epred7_2(X22,X21)
        | X22 != cell36
        | X21 != cell35 )
      & ( epred7_2(X22,X21)
        | X22 != cell35
        | X21 != cell34 )
      & ( epred7_2(X22,X21)
        | ~ epred6_2(X22,X21) )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X22 = cell37
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X22 = cell37
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X22 = cell37
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X22 = cell37
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X21 = cell36
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X21 = cell36
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X21 = cell36
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X22 = cell36
        | X21 = cell36
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X22 = cell37
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X22 = cell37
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X22 = cell37
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X22 = cell37
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X21 = cell36
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X21 = cell36
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X21 = cell36
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X22 = cell35
        | X21 = cell35
        | X21 = cell36
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X22 = cell37
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X22 = cell37
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X22 = cell37
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X22 = cell37
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X21 = cell36
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X21 = cell36
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X21 = cell36
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X22 = cell36
        | X21 = cell36
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X22 = cell37
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X22 = cell37
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X22 = cell37
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X22 = cell37
        | X21 = cell37
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X21 = cell36
        | X22 = cell38
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X21 = cell36
        | X22 = cell38
        | X21 = cell38 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X21 = cell36
        | X21 = cell37
        | X22 = cell39 )
      & ( ~ epred7_2(X22,X21)
        | epred6_2(X22,X21)
        | X21 = cell34
        | X21 = cell35
        | X21 = cell36
        | X21 = cell37
        | X21 = cell38 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_870])])])]) ).

cnf(c_0_881,plain,
    ( epred7_2(cell1,cell100)
    | epred8_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_872]),c_0_568]),c_0_522]),c_0_523]),c_0_524]),c_0_873]) ).

cnf(c_0_882,plain,
    cell39 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

fof(c_0_883,plain,
    cell38 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_875]) ).

fof(c_0_884,plain,
    cell38 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_876]) ).

fof(c_0_885,plain,
    cell37 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_877]) ).

fof(c_0_886,plain,
    cell36 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_878]) ).

fof(c_0_887,plain,
    cell37 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29275]) ).

fof(c_0_888,plain,
    cell36 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29311]) ).

fof(c_0_889,plain,
    ! [X2,X1] :
      ( epred6_2(X1,X2)
    <=> ( ( X1 = cell34
          & X2 = cell33 )
        | ( X1 = cell33
          & X2 = cell32 )
        | ( X1 = cell32
          & X2 = cell31 )
        | ( X1 = cell30
          & X2 = cell29 )
        | ( X1 = cell29
          & X2 = cell28 )
        | epred5_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_865,c_0_879]) ).

cnf(c_0_890,plain,
    ( ~ epred7_2(X2,X1)
    | epred6_2(X2,X1)
    | X2 = cell35
    | X2 = cell36
    | X2 = cell37
    | X2 = cell38
    | X1 = cell38 ),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_891,plain,
    ( epred7_2(cell100,cell1)
    | epred7_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_881]),c_0_585]),c_0_536]),c_0_537]),c_0_538]),c_0_882]) ).

cnf(c_0_892,plain,
    cell38 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_893,plain,
    cell38 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_894,plain,
    cell37 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_895,plain,
    cell36 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

fof(c_0_896,plain,
    cell37 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_887]) ).

fof(c_0_897,plain,
    cell36 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_888]) ).

fof(c_0_898,plain,
    cell30 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29505]) ).

fof(c_0_899,plain,
    ! [X2,X1] :
      ( epred4_2(X1,X2)
    <=> ( ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_900,plain,
    ! [X19,X20] :
      ( ( epred6_2(X20,X19)
        | X20 != cell34
        | X19 != cell33 )
      & ( epred6_2(X20,X19)
        | X20 != cell33
        | X19 != cell32 )
      & ( epred6_2(X20,X19)
        | X20 != cell32
        | X19 != cell31 )
      & ( epred6_2(X20,X19)
        | X20 != cell30
        | X19 != cell29 )
      & ( epred6_2(X20,X19)
        | X20 != cell29
        | X19 != cell28 )
      & ( epred6_2(X20,X19)
        | ~ epred5_2(X20,X19) )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X20 = cell32
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X20 = cell32
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X20 = cell32
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X20 = cell32
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X19 = cell31
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X19 = cell31
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X19 = cell31
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X20 = cell30
        | X19 = cell31
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X20 = cell32
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X20 = cell32
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X20 = cell32
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X20 = cell32
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X19 = cell31
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X19 = cell31
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X19 = cell31
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X20 = cell29
        | X19 = cell29
        | X19 = cell31
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X20 = cell32
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X20 = cell32
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X20 = cell32
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X20 = cell32
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X19 = cell31
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X19 = cell31
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X19 = cell31
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X20 = cell30
        | X19 = cell31
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X20 = cell32
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X20 = cell32
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X20 = cell32
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X20 = cell32
        | X19 = cell32
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X19 = cell31
        | X20 = cell33
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X19 = cell31
        | X20 = cell33
        | X19 = cell33 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X19 = cell31
        | X19 = cell32
        | X20 = cell34 )
      & ( ~ epred6_2(X20,X19)
        | epred5_2(X20,X19)
        | X19 = cell28
        | X19 = cell29
        | X19 = cell31
        | X19 = cell32
        | X19 = cell33 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_889])])])]) ).

cnf(c_0_901,plain,
    ( epred6_2(cell1,cell100)
    | epred7_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_891]),c_0_892]),c_0_893]),c_0_894]),c_0_895]),c_0_634]) ).

cnf(c_0_902,plain,
    cell37 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_896]) ).

cnf(c_0_903,plain,
    cell36 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

fof(c_0_904,plain,
    cell30 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_898]) ).

fof(c_0_905,plain,
    cell30 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29506]) ).

fof(c_0_906,plain,
    ! [X2,X1] :
      ( epred5_2(X1,X2)
    <=> ( ( X1 = cell28
          & X2 = cell27 )
        | ( X1 = cell27
          & X2 = cell26 )
        | ( X1 = cell26
          & X2 = cell25 )
        | ( X1 = cell25
          & X2 = cell24 )
        | ( X1 = cell24
          & X2 = cell23 )
        | epred4_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_879,c_0_899]) ).

cnf(c_0_907,plain,
    ( ~ epred6_2(X2,X1)
    | epred5_2(X2,X1)
    | X2 = cell29
    | X2 = cell30
    | X2 = cell32
    | X2 = cell33
    | X1 = cell33 ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_908,plain,
    ( epred6_2(cell100,cell1)
    | epred6_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_901]),c_0_893]),c_0_892]),c_0_902]),c_0_903]),c_0_648]) ).

cnf(c_0_909,plain,
    cell30 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_904]) ).

fof(c_0_910,plain,
    cell30 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_905]) ).

fof(c_0_911,plain,
    ! [X2,X1] :
      ( epred3_2(X1,X2)
    <=> ( ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_912,plain,
    ! [X17,X18] :
      ( ( epred5_2(X18,X17)
        | X18 != cell28
        | X17 != cell27 )
      & ( epred5_2(X18,X17)
        | X18 != cell27
        | X17 != cell26 )
      & ( epred5_2(X18,X17)
        | X18 != cell26
        | X17 != cell25 )
      & ( epred5_2(X18,X17)
        | X18 != cell25
        | X17 != cell24 )
      & ( epred5_2(X18,X17)
        | X18 != cell24
        | X17 != cell23 )
      & ( epred5_2(X18,X17)
        | ~ epred4_2(X18,X17) )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X18 = cell26
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X18 = cell26
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X18 = cell26
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X18 = cell26
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X17 = cell25
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X17 = cell25
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X17 = cell25
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X18 = cell25
        | X17 = cell25
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X18 = cell26
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X18 = cell26
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X18 = cell26
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X18 = cell26
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X17 = cell25
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X17 = cell25
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X17 = cell25
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X18 = cell24
        | X17 = cell24
        | X17 = cell25
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X18 = cell26
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X18 = cell26
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X18 = cell26
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X18 = cell26
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X17 = cell25
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X17 = cell25
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X17 = cell25
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X18 = cell25
        | X17 = cell25
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X18 = cell26
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X18 = cell26
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X18 = cell26
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X18 = cell26
        | X17 = cell26
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X17 = cell25
        | X18 = cell27
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X17 = cell25
        | X18 = cell27
        | X17 = cell27 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X17 = cell25
        | X17 = cell26
        | X18 = cell28 )
      & ( ~ epred5_2(X18,X17)
        | epred4_2(X18,X17)
        | X17 = cell23
        | X17 = cell24
        | X17 = cell25
        | X17 = cell26
        | X17 = cell27 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_906])])])]) ).

cnf(c_0_913,plain,
    ( epred5_2(cell1,cell100)
    | epred6_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_908]),c_0_570]),c_0_587]),c_0_588]),c_0_909]),c_0_617]) ).

cnf(c_0_914,plain,
    cell30 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

fof(c_0_915,plain,
    ! [X2,X1] :
      ( epred4_2(X1,X2)
    <=> ( ( X1 = cell23
          & X2 = cell22 )
        | ( X1 = cell22
          & X2 = cell21 )
        | ( X1 = cell20
          & X2 = cell19 )
        | ( X1 = cell19
          & X2 = cell18 )
        | ( X1 = cell18
          & X2 = cell17 )
        | epred3_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_899,c_0_911]) ).

cnf(c_0_916,plain,
    ( ~ epred5_2(X1,X2)
    | epred4_2(X1,X2)
    | X2 = cell23
    | X2 = cell24
    | X2 = cell25
    | X2 = cell26
    | X1 = cell28 ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_917,plain,
    ( epred5_2(cell100,cell1)
    | epred5_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_913]),c_0_587]),c_0_570]),c_0_571]),c_0_914]),c_0_601]) ).

fof(c_0_918,plain,
    cell19 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29769]) ).

fof(c_0_919,plain,
    cell18 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29787]) ).

fof(c_0_920,plain,
    ! [X2,X1] :
      ( epred2_2(X1,X2)
    <=> ( ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_921,plain,
    ! [X15,X16] :
      ( ( epred4_2(X16,X15)
        | X16 != cell23
        | X15 != cell22 )
      & ( epred4_2(X16,X15)
        | X16 != cell22
        | X15 != cell21 )
      & ( epred4_2(X16,X15)
        | X16 != cell20
        | X15 != cell19 )
      & ( epred4_2(X16,X15)
        | X16 != cell19
        | X15 != cell18 )
      & ( epred4_2(X16,X15)
        | X16 != cell18
        | X15 != cell17 )
      & ( epred4_2(X16,X15)
        | ~ epred3_2(X16,X15) )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X16 = cell20
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X16 = cell20
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X16 = cell20
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X16 = cell20
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X15 = cell19
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X15 = cell19
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X15 = cell19
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X16 = cell19
        | X15 = cell19
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X16 = cell20
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X16 = cell20
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X16 = cell20
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X16 = cell20
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X15 = cell19
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X15 = cell19
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X15 = cell19
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X16 = cell18
        | X15 = cell18
        | X15 = cell19
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X16 = cell20
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X16 = cell20
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X16 = cell20
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X16 = cell20
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X15 = cell19
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X15 = cell19
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X15 = cell19
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X16 = cell19
        | X15 = cell19
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X16 = cell20
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X16 = cell20
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X16 = cell20
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X16 = cell20
        | X15 = cell21
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X15 = cell19
        | X16 = cell22
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X15 = cell19
        | X16 = cell22
        | X15 = cell22 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X15 = cell19
        | X15 = cell21
        | X16 = cell23 )
      & ( ~ epred4_2(X16,X15)
        | epred3_2(X16,X15)
        | X15 = cell17
        | X15 = cell18
        | X15 = cell19
        | X15 = cell21
        | X15 = cell22 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_915])])])]) ).

cnf(c_0_922,plain,
    ( epred4_2(cell1,cell100)
    | epred5_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_917]),c_0_618]),c_0_604]),c_0_699]),c_0_635]),c_0_636]) ).

fof(c_0_923,plain,
    cell19 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_918]) ).

fof(c_0_924,plain,
    cell18 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_919]) ).

fof(c_0_925,plain,
    cell19 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29770]) ).

fof(c_0_926,plain,
    cell18 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29788]) ).

fof(c_0_927,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( ( X1 = cell6
          & X2 = cell5 )
        | ( X1 = cell5
          & X2 = cell4 )
        | ( X1 = cell4
          & X2 = cell3 )
        | ( X1 = cell3
          & X2 = cell2 )
        | ( X1 = cell2
          & X2 = cell1 ) ) ),
    introduced(definition) ).

fof(c_0_928,plain,
    ! [X2,X1] :
      ( epred3_2(X1,X2)
    <=> ( ( X1 = cell17
          & X2 = cell16 )
        | ( X1 = cell16
          & X2 = cell15 )
        | ( X1 = cell15
          & X2 = cell14 )
        | ( X1 = cell14
          & X2 = cell13 )
        | ( X1 = cell13
          & X2 = cell12 )
        | epred2_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_911,c_0_920]) ).

cnf(c_0_929,plain,
    ( ~ epred4_2(X2,X1)
    | epred3_2(X2,X1)
    | X2 = cell18
    | X2 = cell19
    | X2 = cell20
    | X2 = cell22
    | X1 = cell22 ),
    inference(split_conjunct,[status(thm)],[c_0_921]) ).

cnf(c_0_930,plain,
    ( epred4_2(cell100,cell1)
    | epred4_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_922]),c_0_602]),c_0_620]),c_0_682]),c_0_649]),c_0_650]) ).

cnf(c_0_931,plain,
    cell19 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_932,plain,
    cell18 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

fof(c_0_933,plain,
    cell19 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_925]) ).

fof(c_0_934,plain,
    cell18 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_926]) ).

fof(c_0_935,plain,
    cell16 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29821]) ).

fof(c_0_936,plain,
    cell16 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29820]) ).

fof(c_0_937,plain,
    ! [X2,X1] :
      ( epred2_2(X1,X2)
    <=> ( ( X1 = cell12
          & X2 = cell11 )
        | ( X1 = cell10
          & X2 = cell9 )
        | ( X1 = cell9
          & X2 = cell8 )
        | ( X1 = cell8
          & X2 = cell7 )
        | ( X1 = cell7
          & X2 = cell6 )
        | epred1_2(X1,X2) ) ),
    inference(apply_def,[status(thm)],[c_0_920,c_0_927]) ).

fof(c_0_938,plain,
    ! [X13,X14] :
      ( ( epred3_2(X14,X13)
        | X14 != cell17
        | X13 != cell16 )
      & ( epred3_2(X14,X13)
        | X14 != cell16
        | X13 != cell15 )
      & ( epred3_2(X14,X13)
        | X14 != cell15
        | X13 != cell14 )
      & ( epred3_2(X14,X13)
        | X14 != cell14
        | X13 != cell13 )
      & ( epred3_2(X14,X13)
        | X14 != cell13
        | X13 != cell12 )
      & ( epred3_2(X14,X13)
        | ~ epred2_2(X14,X13) )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X14 = cell15
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X14 = cell15
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X14 = cell15
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X14 = cell15
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X13 = cell14
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X13 = cell14
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X13 = cell14
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X14 = cell14
        | X13 = cell14
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X14 = cell15
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X14 = cell15
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X14 = cell15
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X14 = cell15
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X13 = cell14
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X13 = cell14
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X13 = cell14
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X14 = cell13
        | X13 = cell13
        | X13 = cell14
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X14 = cell15
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X14 = cell15
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X14 = cell15
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X14 = cell15
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X13 = cell14
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X13 = cell14
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X13 = cell14
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X14 = cell14
        | X13 = cell14
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X14 = cell15
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X14 = cell15
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X14 = cell15
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X14 = cell15
        | X13 = cell15
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X13 = cell14
        | X14 = cell16
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X13 = cell14
        | X14 = cell16
        | X13 = cell16 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X13 = cell14
        | X13 = cell15
        | X14 = cell17 )
      & ( ~ epred3_2(X14,X13)
        | epred2_2(X14,X13)
        | X13 = cell12
        | X13 = cell13
        | X13 = cell14
        | X13 = cell15
        | X13 = cell16 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_928])])])]) ).

cnf(c_0_939,plain,
    ( epred3_2(cell1,cell100)
    | epred4_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_929,c_0_930]),c_0_637]),c_0_651]),c_0_668]),c_0_931]),c_0_932]) ).

cnf(c_0_940,plain,
    cell19 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_941,plain,
    cell18 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

fof(c_0_942,plain,
    cell16 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_935]) ).

fof(c_0_943,plain,
    cell16 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_936]) ).

fof(c_0_944,plain,
    ! [X9,X10] :
      ( ( epred1_2(X10,X9)
        | X10 != cell6
        | X9 != cell5 )
      & ( epred1_2(X10,X9)
        | X10 != cell5
        | X9 != cell4 )
      & ( epred1_2(X10,X9)
        | X10 != cell4
        | X9 != cell3 )
      & ( epred1_2(X10,X9)
        | X10 != cell3
        | X9 != cell2 )
      & ( epred1_2(X10,X9)
        | X10 != cell2
        | X9 != cell1 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X10 = cell4
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X10 = cell4
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X10 = cell4
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X10 = cell4
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X9 = cell3
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X9 = cell3
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X9 = cell3
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X10 = cell3
        | X9 = cell3
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X10 = cell4
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X10 = cell4
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X10 = cell4
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X10 = cell4
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X9 = cell3
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X9 = cell3
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X9 = cell3
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X10 = cell2
        | X9 = cell2
        | X9 = cell3
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X10 = cell4
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X10 = cell4
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X10 = cell4
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X10 = cell4
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X9 = cell3
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X9 = cell3
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X9 = cell3
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X10 = cell3
        | X9 = cell3
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X10 = cell4
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X10 = cell4
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X10 = cell4
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X10 = cell4
        | X9 = cell4
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X9 = cell3
        | X10 = cell5
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X9 = cell3
        | X10 = cell5
        | X9 = cell5 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X9 = cell3
        | X9 = cell4
        | X10 = cell6 )
      & ( ~ epred1_2(X10,X9)
        | X9 = cell1
        | X9 = cell2
        | X9 = cell3
        | X9 = cell4
        | X9 = cell5 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_927])])])]) ).

fof(c_0_945,plain,
    ! [X11,X12] :
      ( ( epred2_2(X12,X11)
        | X12 != cell12
        | X11 != cell11 )
      & ( epred2_2(X12,X11)
        | X12 != cell10
        | X11 != cell9 )
      & ( epred2_2(X12,X11)
        | X12 != cell9
        | X11 != cell8 )
      & ( epred2_2(X12,X11)
        | X12 != cell8
        | X11 != cell7 )
      & ( epred2_2(X12,X11)
        | X12 != cell7
        | X11 != cell6 )
      & ( epred2_2(X12,X11)
        | ~ epred1_2(X12,X11) )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X12 = cell9
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X12 = cell9
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X12 = cell9
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X12 = cell9
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X11 = cell8
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X11 = cell8
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X11 = cell8
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X12 = cell8
        | X11 = cell8
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X12 = cell9
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X12 = cell9
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X12 = cell9
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X12 = cell9
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X11 = cell8
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X11 = cell8
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X11 = cell8
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X12 = cell7
        | X11 = cell7
        | X11 = cell8
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X12 = cell9
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X12 = cell9
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X12 = cell9
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X12 = cell9
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X11 = cell8
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X11 = cell8
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X11 = cell8
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X12 = cell8
        | X11 = cell8
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X12 = cell9
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X12 = cell9
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X12 = cell9
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X12 = cell9
        | X11 = cell9
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X11 = cell8
        | X12 = cell10
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X11 = cell8
        | X12 = cell10
        | X11 = cell11 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X11 = cell8
        | X11 = cell9
        | X12 = cell12 )
      & ( ~ epred2_2(X12,X11)
        | epred1_2(X12,X11)
        | X11 = cell6
        | X11 = cell7
        | X11 = cell8
        | X11 = cell9
        | X11 = cell11 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_937])])])]) ).

cnf(c_0_946,plain,
    ( ~ epred3_2(X2,X1)
    | epred2_2(X2,X1)
    | X2 = cell13
    | X2 = cell14
    | X2 = cell15
    | X2 = cell16
    | X1 = cell16 ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_947,plain,
    ( epred3_2(cell100,cell1)
    | epred3_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_929,c_0_939]),c_0_651]),c_0_637]),c_0_658]),c_0_940]),c_0_941]) ).

cnf(c_0_948,plain,
    cell16 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_949,plain,
    cell16 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

fof(c_0_950,plain,
    cell5 != cell1,
    inference(fof_simplification,[status(thm)],[tlhfof29930]) ).

fof(c_0_951,plain,
    cell5 != cell100,
    inference(fof_simplification,[status(thm)],[tlhfof29931]) ).

cnf(c_0_952,plain,
    ( ~ epred1_2(X2,X1)
    | X2 = cell2
    | X2 = cell3
    | X2 = cell4
    | X2 = cell5
    | X1 = cell5 ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_953,plain,
    ( ~ epred2_2(X1,X2)
    | epred1_2(X1,X2)
    | X2 = cell6
    | X2 = cell7
    | X2 = cell8
    | X2 = cell9
    | X1 = cell12 ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_954,plain,
    ( epred2_2(cell1,cell100)
    | epred3_2(cell100,cell1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_947]),c_0_948]),c_0_949]),c_0_745]),c_0_700]),c_0_701]) ).

fof(c_0_955,plain,
    cell5 != cell1,
    inference(fof_nnf,[status(thm)],[c_0_950]) ).

fof(c_0_956,plain,
    cell5 != cell100,
    inference(fof_nnf,[status(thm)],[c_0_951]) ).

cnf(c_0_957,plain,
    ( ~ epred2_2(X2,X1)
    | X1 = cell5
    | X2 = cell5
    | X2 = cell4
    | X2 = cell3
    | X2 = cell2
    | X2 = cell12
    | X1 = cell9
    | X1 = cell8
    | X1 = cell7
    | X1 = cell6 ),
    inference(spm,[status(thm)],[c_0_952,c_0_953]) ).

cnf(c_0_958,plain,
    ( epred2_2(cell100,cell1)
    | epred2_2(cell1,cell100) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_954]),c_0_949]),c_0_948]),c_0_758]),c_0_683]),c_0_684]) ).

cnf(c_0_959,plain,
    cell5 != cell1,
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_960,plain,
    cell5 != cell100,
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_961,plain,
    epred2_2(cell100,cell1),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_958]),c_0_718]),c_0_717]),c_0_716]),c_0_715]),c_0_702]),c_0_761]),c_0_760]),c_0_759]),c_0_959]),c_0_960]) ).

cnf(c_0_962,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_961]),c_0_733]),c_0_732]),c_0_731]),c_0_730]),c_0_685]),c_0_748]),c_0_747]),c_0_746]),c_0_960]),c_0_959]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ074+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 03:50:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 4.44/1.12  % Version: 3.5.1
% 4.44/1.12  % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.44/1.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.44/1.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.44/1.12  % Starting new_bool_3 with 300s (1) cores
% 4.44/1.12  % Starting new_bool_1 with 300s (1) cores
% 4.44/1.12  % Starting sh5l with 300s (1) cores
% 4.44/1.12  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1624275 completed with status 0
% 4.44/1.12  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.44/1.12  % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.44/1.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.44/1.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.44/1.12  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.44/1.12  % No SInE strategy applied
% 4.44/1.12  % Search class: FGUSF-SMLF00-SFFFFFNN
% 4.44/1.12  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.44/1.12  % Starting SubtermCWHack with 136s (1) cores
% 4.44/1.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.44/1.12  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.44/1.12  % Starting new_bool_3 with 136s (1) cores
% 4.44/1.12  % Starting new_bool_1 with 136s (1) cores
% 4.44/1.12  % SubtermCWHack with pid 1624315 completed with status 0
% 4.44/1.12  % Result found by SubtermCWHack
% 4.44/1.12  % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.44/1.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.44/1.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.44/1.12  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.44/1.12  % No SInE strategy applied
% 4.44/1.12  % Search class: FGUSF-SMLF00-SFFFFFNN
% 4.44/1.12  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.44/1.12  % Starting SubtermCWHack with 136s (1) cores
% 4.44/1.12  % Preprocessing time       : 0.016 s
% 4.44/1.12  
% 4.44/1.12  % Proof found!
% 4.44/1.12  % SZS status Theorem
% 4.44/1.12  % SZS output start CNFRefutation
% See solution above
% 4.44/1.13  % Parsed axioms                        : 4953
% 4.44/1.13  % Removed by relevancy pruning/SinE    : 0
% 4.44/1.13  % Initial clauses                      : 6323
% 4.44/1.13  % Removed in clause preprocessing      : 0
% 4.44/1.13  % Initial clauses in saturation        : 6323
% 4.44/1.13  % Processed clauses                    : 8711
% 4.44/1.13  % ...of these trivial                  : 0
% 4.44/1.13  % ...subsumed                          : 2029
% 4.44/1.13  % ...remaining for further processing  : 6682
% 4.44/1.13  % Other redundant clauses eliminated   : 360
% 4.44/1.13  % Clauses deleted for lack of memory   : 0
% 4.44/1.13  % Backward-subsumed                    : 0
% 4.44/1.13  % Backward-rewritten                   : 1
% 4.44/1.13  % Generated clauses                    : 4619
% 4.44/1.13  % ...of the previous two non-redundant : 3442
% 4.44/1.13  % ...aggressively subsumed             : 0
% 4.44/1.13  % Contextual simplify-reflections      : 0
% 4.44/1.13  % Paramodulations                      : 4439
% 4.44/1.13  % Factorizations                       : 0
% 4.44/1.13  % NegExts                              : 0
% 4.44/1.13  % Equation resolutions                 : 360
% 4.44/1.13  % Disequality decompositions           : 0
% 4.44/1.13  % Total rewrite steps                  : 1
% 4.44/1.13  % ...of those cached                   : 0
% 4.44/1.13  % Propositional unsat checks           : 0
% 4.44/1.13  %    Propositional check models        : 0
% 4.44/1.13  %    Propositional check unsatisfiable : 0
% 4.44/1.13  %    Propositional clauses             : 0
% 4.44/1.13  %    Propositional clauses after purity: 0
% 4.44/1.13  %    Propositional unsat core size     : 0
% 4.44/1.13  %    Propositional preprocessing time  : 0.000
% 4.44/1.13  %    Propositional encoding time       : 0.000
% 4.44/1.13  %    Propositional solver time         : 0.000
% 4.44/1.13  %    Success case prop preproc time    : 0.000
% 4.44/1.13  %    Success case prop encoding time   : 0.000
% 4.44/1.13  %    Success case prop solver time     : 0.000
% 4.44/1.13  % Current number of processed clauses  : 6501
% 4.44/1.13  %    Positive orientable unit clauses  : 187
% 4.44/1.13  %    Positive unorientable unit clauses: 0
% 4.44/1.13  %    Negative unit clauses             : 4950
% 4.44/1.13  %    Non-unit-clauses                  : 1364
% 4.44/1.13  % Current number of unprocessed clauses: 1054
% 4.44/1.13  % ...number of literals in the above   : 10305
% 4.44/1.13  % Current number of archived formulas  : 0
% 4.44/1.13  % Current number of archived clauses   : 1
% 4.44/1.13  % Clause-clause subsumption calls (NU) : 780809
% 4.44/1.13  % Rec. Clause-clause subsumption calls : 25941
% 4.44/1.13  % Non-unit clause-clause subsumptions  : 2029
% 4.44/1.13  % Unit Clause-clause subsumption calls : 1095501
% 4.44/1.13  % Rewrite failures with RHS unbound    : 0
% 4.44/1.13  % BW rewrite match attempts            : 1
% 4.44/1.13  % BW rewrite match successes           : 1
% 4.44/1.13  % Condensation attempts                : 0
% 4.44/1.13  % Condensation successes               : 0
% 4.44/1.13  % Termbank termtop insertions          : 315083
% 4.44/1.13  % Search garbage collected termcells   : 30725
% 4.44/1.13  
% 4.44/1.13  % -------------------------------------------------
% 4.44/1.13  % User time                : 0.615 s
% 4.44/1.13  % System time              : 0.028 s
% 4.44/1.13  % Total time               : 0.643 s
% 4.44/1.13  % Maximum resident set size: 12852 pages
% 4.44/1.13  
% 4.44/1.13  % -------------------------------------------------
% 4.44/1.13  % User time                : 2.725 s
% 4.44/1.13  % System time              : 0.105 s
% 4.44/1.13  % Total time               : 2.831 s
% 4.44/1.13  % Maximum resident set size: 6912 pages
% 4.44/1.13  % E exiting
%------------------------------------------------------------------------------