TSTP Solution File: PUZ074+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ074+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:08:27 EDT 2022

% Result   : Theorem 10.77s 3.04s
% Output   : CNFRefutation 10.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   78
%            Number of leaves      :  226
% Syntax   : Number of formulae    :  607 ( 381 unt;   0 def)
%            Number of atoms       : 16943 (14064 equ)
%            Maximal formula atoms :  361 (  27 avg)
%            Number of connectives : 18307 (1971   ~;11243   |;5019   &)
%                                         (  74 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  184 (  11 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)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 )
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 )
        | ( X2 = cell76
          & X1 = cell86 )
        | ( X2 = cell77
          & X1 = cell87 )
        | ( X2 = cell78
          & X1 = cell88 )
        | ( X2 = cell79
          & X1 = cell89 )
        | ( X2 = cell80
          & X1 = cell90 )
        | ( X2 = cell81
          & X1 = cell91 )
        | ( X2 = cell82
          & X1 = cell92 )
        | ( X2 = cell83
          & X1 = cell93 )
        | ( X2 = cell84
          & X1 = cell94 )
        | ( X2 = cell85
          & X1 = cell95 )
        | ( X2 = cell86
          & X1 = cell96 )
        | ( X2 = cell87
          & X1 = cell97 )
        | ( X2 = cell88
          & X1 = cell98 )
        | ( X2 = cell89
          & X1 = cell99 )
        | ( X2 = cell90
          & X1 = cell100 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24990) ).

fof(tlhfof24991,axiom,
    ! [X3,X4] :
      ( adj(X4,X3)
    <=> ( edge(X4,X3)
        | edge(X3,X4) ) ),
    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(tlhfof25475,axiom,
    cell95 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof25475) ).

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

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

fof(tlhfof26938,axiom,
    cell78 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26938) ).

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

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

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(tlhfof26937,axiom,
    cell78 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof26937) ).

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

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

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

fof(tlhfof27456,axiom,
    cell72 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27456) ).

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

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

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

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

fof(tlhfof27455,axiom,
    cell72 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof27455) ).

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

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

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

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

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

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(tlhfof28715,axiom,
    cell50 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28715) ).

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

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

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(tlhfof28716,axiom,
    cell50 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof28716) ).

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

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

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

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

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(tlhfof29805,axiom,
    cell17 != cell100,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29805) ).

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

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(tlhfof29804,axiom,
    cell17 != cell1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof29804) ).

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

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

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

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

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

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(c_0_190,plain,
    ! [X2,X1] :
      ( epred36_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 )
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 )
        | ( X2 = cell76
          & X1 = cell86 )
        | ( X2 = cell77
          & X1 = cell87 )
        | ( X2 = cell78
          & X1 = cell88 )
        | ( X2 = cell79
          & X1 = cell89 )
        | ( X2 = cell80
          & X1 = cell90 )
        | ( X2 = cell81
          & X1 = cell91 )
        | ( X2 = cell82
          & X1 = cell92 )
        | ( X2 = cell83
          & X1 = cell93 )
        | ( X2 = cell84
          & X1 = cell94 )
        | ( X2 = cell85
          & X1 = cell95 )
        | ( X2 = cell86
          & X1 = cell96 )
        | ( X2 = cell87
          & X1 = cell97 )
        | ( X2 = cell88
          & X1 = cell98 )
        | ( X2 = cell89
          & X1 = cell99 )
        | ( X2 = cell90
          & X1 = cell100 ) ) ),
    introduced(definition) ).

fof(c_0_191,negated_conjecture,
    ~ ~ adj(cell1,cell100),
    inference(assume_negation,[status(cth)],[tlhfof29942]) ).

fof(c_0_192,axiom,
    ! [X1,X2] :
      ( edge(X2,X1)
    <=> epred36_2(X1,X2) ),
    inference(apply_def,[status(thm)],[tlhfof24990,c_0_190]) ).

fof(c_0_193,plain,
    ! [X7,X8] :
      ( ( ~ adj(X8,X7)
        | edge(X8,X7)
        | edge(X7,X8) )
      & ( ~ edge(X8,X7)
        | adj(X8,X7) )
      & ( ~ edge(X7,X8)
        | adj(X8,X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof24991])])]) ).

fof(c_0_194,negated_conjecture,
    adj(cell1,cell100),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_195,plain,
    ! [X2,X1] :
      ( epred35_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 )
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 )
        | ( X2 = cell76
          & X1 = cell86 )
        | ( X2 = cell77
          & X1 = cell87 )
        | ( X2 = cell78
          & X1 = cell88 )
        | ( X2 = cell79
          & X1 = cell89 )
        | ( X2 = cell80
          & X1 = cell90 )
        | ( X2 = cell81
          & X1 = cell91 )
        | ( X2 = cell82
          & X1 = cell92 )
        | ( X2 = cell83
          & X1 = cell93 )
        | ( X2 = cell84
          & X1 = cell94 )
        | ( X2 = cell85
          & X1 = cell95 ) ) ),
    introduced(definition) ).

fof(c_0_196,plain,
    ! [X5,X6] :
      ( ( ~ edge(X6,X5)
        | epred36_2(X5,X6) )
      & ( ~ epred36_2(X5,X6)
        | edge(X6,X5) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_192])]) ).

cnf(c_0_197,plain,
    ( edge(X1,X2)
    | edge(X2,X1)
    | ~ adj(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_198,negated_conjecture,
    adj(cell1,cell100),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

fof(c_0_199,plain,
    ! [X2,X1] :
      ( epred36_2(X1,X2)
    <=> ( epred35_2(X1,X2)
        | ( X2 = cell86
          & X1 = cell96 )
        | ( X2 = cell87
          & X1 = cell97 )
        | ( X2 = cell88
          & X1 = cell98 )
        | ( X2 = cell89
          & X1 = cell99 )
        | ( X2 = cell90
          & X1 = cell100 ) ) ),
    inference(apply_def,[status(thm)],[c_0_190,c_0_195]) ).

cnf(c_0_200,plain,
    ( epred36_2(X2,X1)
    | ~ edge(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_196]) ).

cnf(c_0_201,negated_conjecture,
    ( edge(cell100,cell1)
    | edge(cell1,cell100) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

fof(c_0_202,plain,
    ! [X2,X1] :
      ( epred34_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 )
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 )
        | ( X2 = cell76
          & X1 = cell86 )
        | ( X2 = cell77
          & X1 = cell87 )
        | ( X2 = cell78
          & X1 = cell88 )
        | ( X2 = cell79
          & X1 = cell89 )
        | ( X2 = cell80
          & X1 = cell90 ) ) ),
    introduced(definition) ).

fof(c_0_203,plain,
    ! [X79,X80] :
      ( ( X79 = cell90
        | X79 = cell89
        | X79 = cell88
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X79 = cell88
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X79 = cell88
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X79 = cell88
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X80 = cell98
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X80 = cell98
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X80 = cell98
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X80 = cell98
        | X79 = cell87
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X79 = cell88
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X79 = cell88
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X79 = cell88
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X79 = cell88
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X80 = cell98
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X80 = cell98
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X80 = cell98
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X80 = cell98
        | X80 = cell97
        | X79 = cell86
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X79 = cell88
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X79 = cell88
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X79 = cell88
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X79 = cell88
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X80 = cell98
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X80 = cell98
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X80 = cell98
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X80 = cell98
        | X79 = cell87
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X79 = cell88
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X79 = cell88
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X79 = cell88
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X79 = cell88
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X79 = cell89
        | X80 = cell98
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X79 = cell89
        | X80 = cell98
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X79 = cell90
        | X80 = cell99
        | X80 = cell98
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( X80 = cell100
        | X80 = cell99
        | X80 = cell98
        | X80 = cell97
        | X80 = cell96
        | epred35_2(X80,X79)
        | ~ epred36_2(X80,X79) )
      & ( ~ epred35_2(X80,X79)
        | epred36_2(X80,X79) )
      & ( X79 != cell86
        | X80 != cell96
        | epred36_2(X80,X79) )
      & ( X79 != cell87
        | X80 != cell97
        | epred36_2(X80,X79) )
      & ( X79 != cell88
        | X80 != cell98
        | epred36_2(X80,X79) )
      & ( X79 != cell89
        | X80 != cell99
        | epred36_2(X80,X79) )
      & ( X79 != cell90
        | X80 != cell100
        | epred36_2(X80,X79) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_199])])]) ).

cnf(c_0_204,negated_conjecture,
    ( epred36_2(cell100,cell1)
    | edge(cell100,cell1) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

fof(c_0_205,plain,
    ! [X2,X1] :
      ( epred35_2(X1,X2)
    <=> ( epred34_2(X1,X2)
        | ( X2 = cell81
          & X1 = cell91 )
        | ( X2 = cell82
          & X1 = cell92 )
        | ( X2 = cell83
          & X1 = cell93 )
        | ( X2 = cell84
          & X1 = cell94 )
        | ( X2 = cell85
          & X1 = cell95 ) ) ),
    inference(apply_def,[status(thm)],[c_0_195,c_0_202]) ).

cnf(c_0_206,plain,
    ( X1 = cell100
    | X2 = cell89
    | X2 = cell88
    | X2 = cell87
    | X2 = cell86
    | epred35_2(X1,X2)
    | ~ epred36_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_207,negated_conjecture,
    ( epred36_2(cell100,cell1)
    | epred36_2(cell1,cell100) ),
    inference(spm,[status(thm)],[c_0_200,c_0_204]) ).

cnf(c_0_208,plain,
    cell1 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29941]) ).

cnf(c_0_209,plain,
    cell89 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26025]) ).

cnf(c_0_210,plain,
    cell88 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26113]) ).

cnf(c_0_211,plain,
    cell87 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26200]) ).

cnf(c_0_212,plain,
    cell86 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26286]) ).

fof(c_0_213,plain,
    ! [X2,X1] :
      ( epred33_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 )
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 ) ) ),
    introduced(definition) ).

fof(c_0_214,plain,
    ! [X77,X78] :
      ( ( X77 = cell85
        | X77 = cell84
        | X77 = cell83
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X77 = cell83
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X77 = cell83
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X77 = cell83
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X78 = cell93
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X78 = cell93
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X78 = cell93
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X78 = cell93
        | X77 = cell82
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X77 = cell83
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X77 = cell83
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X77 = cell83
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X77 = cell83
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X78 = cell93
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X78 = cell93
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X78 = cell93
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X78 = cell93
        | X78 = cell92
        | X77 = cell81
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X77 = cell83
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X77 = cell83
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X77 = cell83
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X77 = cell83
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X78 = cell93
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X78 = cell93
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X78 = cell93
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X78 = cell93
        | X77 = cell82
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X77 = cell83
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X77 = cell83
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X77 = cell83
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X77 = cell83
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X77 = cell84
        | X78 = cell93
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X77 = cell84
        | X78 = cell93
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X77 = cell85
        | X78 = cell94
        | X78 = cell93
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( X78 = cell95
        | X78 = cell94
        | X78 = cell93
        | X78 = cell92
        | X78 = cell91
        | epred34_2(X78,X77)
        | ~ epred35_2(X78,X77) )
      & ( ~ epred34_2(X78,X77)
        | epred35_2(X78,X77) )
      & ( X77 != cell81
        | X78 != cell91
        | epred35_2(X78,X77) )
      & ( X77 != cell82
        | X78 != cell92
        | epred35_2(X78,X77) )
      & ( X77 != cell83
        | X78 != cell93
        | epred35_2(X78,X77) )
      & ( X77 != cell84
        | X78 != cell94
        | epred35_2(X78,X77) )
      & ( X77 != cell85
        | X78 != cell95
        | epred35_2(X78,X77) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_205])])]) ).

cnf(c_0_215,plain,
    ( X1 = cell90
    | X2 = cell99
    | X2 = cell98
    | X2 = cell97
    | X2 = cell96
    | epred35_2(X2,X1)
    | ~ epred36_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_216,negated_conjecture,
    ( epred36_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_206,c_0_207]),c_0_208]),c_0_209]),c_0_210]),c_0_211]),c_0_212]) ).

cnf(c_0_217,plain,
    cell90 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25935]) ).

cnf(c_0_218,plain,
    cell99 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25090]) ).

cnf(c_0_219,plain,
    cell98 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25188]) ).

cnf(c_0_220,plain,
    cell97 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25285]) ).

cnf(c_0_221,plain,
    cell96 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25381]) ).

fof(c_0_222,plain,
    ! [X2,X1] :
      ( epred34_2(X1,X2)
    <=> ( epred33_2(X1,X2)
        | ( X2 = cell76
          & X1 = cell86 )
        | ( X2 = cell77
          & X1 = cell87 )
        | ( X2 = cell78
          & X1 = cell88 )
        | ( X2 = cell79
          & X1 = cell89 )
        | ( X2 = cell80
          & X1 = cell90 ) ) ),
    inference(apply_def,[status(thm)],[c_0_202,c_0_213]) ).

cnf(c_0_223,plain,
    ( X1 = cell95
    | X2 = cell84
    | X2 = cell83
    | X2 = cell82
    | X2 = cell81
    | epred34_2(X1,X2)
    | ~ epred35_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_214]) ).

cnf(c_0_224,negated_conjecture,
    ( epred35_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_215,c_0_216]),c_0_217]),c_0_218]),c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_225,plain,
    cell95 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25475]) ).

cnf(c_0_226,plain,
    cell84 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26455]) ).

cnf(c_0_227,plain,
    cell83 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26538]) ).

cnf(c_0_228,plain,
    cell82 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26701]) ).

cnf(c_0_229,plain,
    cell81 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26620]) ).

fof(c_0_230,plain,
    ! [X2,X1] :
      ( epred32_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 )
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 ) ) ),
    introduced(definition) ).

fof(c_0_231,plain,
    ! [X75,X76] :
      ( ( X75 = cell80
        | X75 = cell79
        | X75 = cell78
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X75 = cell78
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X75 = cell78
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X75 = cell78
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X76 = cell88
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X76 = cell88
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X76 = cell88
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X76 = cell88
        | X75 = cell77
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X75 = cell78
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X75 = cell78
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X75 = cell78
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X75 = cell78
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X76 = cell88
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X76 = cell88
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X76 = cell88
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X76 = cell88
        | X76 = cell87
        | X75 = cell76
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X75 = cell78
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X75 = cell78
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X75 = cell78
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X75 = cell78
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X76 = cell88
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X76 = cell88
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X76 = cell88
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X76 = cell88
        | X75 = cell77
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X75 = cell78
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X75 = cell78
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X75 = cell78
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X75 = cell78
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X75 = cell79
        | X76 = cell88
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X75 = cell79
        | X76 = cell88
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X75 = cell80
        | X76 = cell89
        | X76 = cell88
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( X76 = cell90
        | X76 = cell89
        | X76 = cell88
        | X76 = cell87
        | X76 = cell86
        | epred33_2(X76,X75)
        | ~ epred34_2(X76,X75) )
      & ( ~ epred33_2(X76,X75)
        | epred34_2(X76,X75) )
      & ( X75 != cell76
        | X76 != cell86
        | epred34_2(X76,X75) )
      & ( X75 != cell77
        | X76 != cell87
        | epred34_2(X76,X75) )
      & ( X75 != cell78
        | X76 != cell88
        | epred34_2(X76,X75) )
      & ( X75 != cell79
        | X76 != cell89
        | epred34_2(X76,X75) )
      & ( X75 != cell80
        | X76 != cell90
        | epred34_2(X76,X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_222])])]) ).

cnf(c_0_232,plain,
    ( epred35_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_223,c_0_224]),c_0_225]),c_0_226]),c_0_227]),c_0_228]),c_0_229]) ).

cnf(c_0_233,plain,
    cell95 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25476]) ).

cnf(c_0_234,plain,
    cell84 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26454]) ).

cnf(c_0_235,plain,
    cell83 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26537]) ).

cnf(c_0_236,plain,
    cell82 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26700]) ).

cnf(c_0_237,plain,
    cell81 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26619]) ).

fof(c_0_238,plain,
    ! [X2,X1] :
      ( epred33_2(X1,X2)
    <=> ( epred32_2(X1,X2)
        | ( X2 = cell71
          & X1 = cell81 )
        | ( X2 = cell72
          & X1 = cell82 )
        | ( X2 = cell73
          & X1 = cell83 )
        | ( X2 = cell74
          & X1 = cell84 )
        | ( X2 = cell75
          & X1 = cell85 ) ) ),
    inference(apply_def,[status(thm)],[c_0_213,c_0_230]) ).

cnf(c_0_239,plain,
    ( X1 = cell90
    | X2 = cell79
    | X2 = cell78
    | X2 = cell77
    | X2 = cell76
    | epred33_2(X1,X2)
    | ~ epred34_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_240,plain,
    ( epred34_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_223,c_0_232]),c_0_233]),c_0_234]),c_0_235]),c_0_236]),c_0_237]) ).

cnf(c_0_241,plain,
    cell79 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26860]) ).

cnf(c_0_242,plain,
    cell78 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26938]) ).

cnf(c_0_243,plain,
    cell77 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27015]) ).

cnf(c_0_244,plain,
    cell76 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27091]) ).

fof(c_0_245,plain,
    ! [X2,X1] :
      ( epred31_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 )
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 ) ) ),
    introduced(definition) ).

fof(c_0_246,plain,
    ! [X73,X74] :
      ( ( X73 = cell75
        | X73 = cell74
        | X73 = cell73
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X73 = cell73
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X73 = cell73
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X73 = cell73
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X74 = cell83
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X74 = cell83
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X74 = cell83
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X74 = cell83
        | X73 = cell72
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X73 = cell73
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X73 = cell73
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X73 = cell73
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X73 = cell73
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X74 = cell83
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X74 = cell83
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X74 = cell83
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X74 = cell83
        | X74 = cell82
        | X73 = cell71
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X73 = cell73
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X73 = cell73
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X73 = cell73
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X73 = cell73
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X74 = cell83
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X74 = cell83
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X74 = cell83
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X74 = cell83
        | X73 = cell72
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X73 = cell73
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X73 = cell73
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X73 = cell73
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X73 = cell73
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X73 = cell74
        | X74 = cell83
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X73 = cell74
        | X74 = cell83
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X73 = cell75
        | X74 = cell84
        | X74 = cell83
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( X74 = cell85
        | X74 = cell84
        | X74 = cell83
        | X74 = cell82
        | X74 = cell81
        | epred32_2(X74,X73)
        | ~ epred33_2(X74,X73) )
      & ( ~ epred32_2(X74,X73)
        | epred33_2(X74,X73) )
      & ( X73 != cell71
        | X74 != cell81
        | epred33_2(X74,X73) )
      & ( X73 != cell72
        | X74 != cell82
        | epred33_2(X74,X73) )
      & ( X73 != cell73
        | X74 != cell83
        | epred33_2(X74,X73) )
      & ( X73 != cell74
        | X74 != cell84
        | epred33_2(X74,X73) )
      & ( X73 != cell75
        | X74 != cell85
        | epred33_2(X74,X73) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_238])])]) ).

cnf(c_0_247,plain,
    ( epred34_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_239,c_0_240]),c_0_217]),c_0_241]),c_0_242]),c_0_243]),c_0_244]) ).

cnf(c_0_248,plain,
    cell90 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25936]) ).

cnf(c_0_249,plain,
    cell79 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26859]) ).

cnf(c_0_250,plain,
    cell78 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26937]) ).

cnf(c_0_251,plain,
    cell77 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27014]) ).

cnf(c_0_252,plain,
    cell76 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27090]) ).

fof(c_0_253,plain,
    ! [X2,X1] :
      ( epred32_2(X1,X2)
    <=> ( epred31_2(X1,X2)
        | ( X2 = cell66
          & X1 = cell76 )
        | ( X2 = cell67
          & X1 = cell77 )
        | ( X2 = cell68
          & X1 = cell78 )
        | ( X2 = cell69
          & X1 = cell79 )
        | ( X2 = cell70
          & X1 = cell80 ) ) ),
    inference(apply_def,[status(thm)],[c_0_230,c_0_245]) ).

cnf(c_0_254,plain,
    ( X1 = cell85
    | X2 = cell74
    | X2 = cell73
    | X2 = cell72
    | X2 = cell71
    | epred32_2(X1,X2)
    | ~ epred33_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_246]) ).

cnf(c_0_255,plain,
    ( epred33_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_239,c_0_247]),c_0_248]),c_0_249]),c_0_250]),c_0_251]),c_0_252]) ).

cnf(c_0_256,plain,
    cell85 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26370]) ).

cnf(c_0_257,plain,
    cell74 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27240]) ).

cnf(c_0_258,plain,
    cell73 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27313]) ).

cnf(c_0_259,plain,
    cell72 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27456]) ).

cnf(c_0_260,plain,
    cell71 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27385]) ).

fof(c_0_261,plain,
    ! [X2,X1] :
      ( epred30_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 )
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 ) ) ),
    introduced(definition) ).

fof(c_0_262,plain,
    ! [X71,X72] :
      ( ( X71 = cell70
        | X71 = cell69
        | X71 = cell68
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X71 = cell68
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X71 = cell68
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X71 = cell68
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X72 = cell78
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X72 = cell78
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X72 = cell78
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X72 = cell78
        | X71 = cell67
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X71 = cell68
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X71 = cell68
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X71 = cell68
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X71 = cell68
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X72 = cell78
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X72 = cell78
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X72 = cell78
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X72 = cell78
        | X72 = cell77
        | X71 = cell66
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X71 = cell68
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X71 = cell68
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X71 = cell68
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X71 = cell68
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X72 = cell78
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X72 = cell78
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X72 = cell78
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X72 = cell78
        | X71 = cell67
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X71 = cell68
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X71 = cell68
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X71 = cell68
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X71 = cell68
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X71 = cell69
        | X72 = cell78
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X71 = cell69
        | X72 = cell78
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X71 = cell70
        | X72 = cell79
        | X72 = cell78
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( X72 = cell80
        | X72 = cell79
        | X72 = cell78
        | X72 = cell77
        | X72 = cell76
        | epred31_2(X72,X71)
        | ~ epred32_2(X72,X71) )
      & ( ~ epred31_2(X72,X71)
        | epred32_2(X72,X71) )
      & ( X71 != cell66
        | X72 != cell76
        | epred32_2(X72,X71) )
      & ( X71 != cell67
        | X72 != cell77
        | epred32_2(X72,X71) )
      & ( X71 != cell68
        | X72 != cell78
        | epred32_2(X72,X71) )
      & ( X71 != cell69
        | X72 != cell79
        | epred32_2(X72,X71) )
      & ( X71 != cell70
        | X72 != cell80
        | epred32_2(X72,X71) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_253])])]) ).

cnf(c_0_263,plain,
    ( epred33_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_254,c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_264,plain,
    cell85 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26371]) ).

cnf(c_0_265,plain,
    cell74 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27239]) ).

cnf(c_0_266,plain,
    cell73 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27312]) ).

cnf(c_0_267,plain,
    cell72 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27455]) ).

cnf(c_0_268,plain,
    cell71 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27384]) ).

fof(c_0_269,plain,
    ! [X2,X1] :
      ( epred31_2(X1,X2)
    <=> ( epred30_2(X1,X2)
        | ( X2 = cell61
          & X1 = cell71 )
        | ( X2 = cell62
          & X1 = cell72 )
        | ( X2 = cell63
          & X1 = cell73 )
        | ( X2 = cell64
          & X1 = cell74 )
        | ( X2 = cell65
          & X1 = cell75 ) ) ),
    inference(apply_def,[status(thm)],[c_0_245,c_0_261]) ).

cnf(c_0_270,plain,
    ( X1 = cell80
    | X2 = cell69
    | X2 = cell68
    | X2 = cell67
    | X2 = cell66
    | epred31_2(X1,X2)
    | ~ epred32_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_271,plain,
    ( epred32_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_254,c_0_263]),c_0_264]),c_0_265]),c_0_266]),c_0_267]),c_0_268]) ).

cnf(c_0_272,plain,
    cell80 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26780]) ).

cnf(c_0_273,plain,
    cell69 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27595]) ).

cnf(c_0_274,plain,
    cell68 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27663]) ).

cnf(c_0_275,plain,
    cell67 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27730]) ).

cnf(c_0_276,plain,
    cell66 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27796]) ).

fof(c_0_277,plain,
    ! [X2,X1] :
      ( epred29_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 )
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 ) ) ),
    introduced(definition) ).

fof(c_0_278,plain,
    ! [X69,X70] :
      ( ( X69 = cell65
        | X69 = cell64
        | X69 = cell63
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X69 = cell63
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X69 = cell63
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X69 = cell63
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X70 = cell73
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X70 = cell73
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X70 = cell73
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X70 = cell73
        | X69 = cell62
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X69 = cell63
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X69 = cell63
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X69 = cell63
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X69 = cell63
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X70 = cell73
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X70 = cell73
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X70 = cell73
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X70 = cell73
        | X70 = cell72
        | X69 = cell61
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X69 = cell63
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X69 = cell63
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X69 = cell63
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X69 = cell63
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X70 = cell73
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X70 = cell73
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X70 = cell73
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X70 = cell73
        | X69 = cell62
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X69 = cell63
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X69 = cell63
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X69 = cell63
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X69 = cell63
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X69 = cell64
        | X70 = cell73
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X69 = cell64
        | X70 = cell73
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X69 = cell65
        | X70 = cell74
        | X70 = cell73
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( X70 = cell75
        | X70 = cell74
        | X70 = cell73
        | X70 = cell72
        | X70 = cell71
        | epred30_2(X70,X69)
        | ~ epred31_2(X70,X69) )
      & ( ~ epred30_2(X70,X69)
        | epred31_2(X70,X69) )
      & ( X69 != cell61
        | X70 != cell71
        | epred31_2(X70,X69) )
      & ( X69 != cell62
        | X70 != cell72
        | epred31_2(X70,X69) )
      & ( X69 != cell63
        | X70 != cell73
        | epred31_2(X70,X69) )
      & ( X69 != cell64
        | X70 != cell74
        | epred31_2(X70,X69) )
      & ( X69 != cell65
        | X70 != cell75
        | epred31_2(X70,X69) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_269])])]) ).

cnf(c_0_279,plain,
    ( epred32_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_270,c_0_271]),c_0_272]),c_0_273]),c_0_274]),c_0_275]),c_0_276]) ).

cnf(c_0_280,plain,
    cell80 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof26781]) ).

cnf(c_0_281,plain,
    cell69 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27594]) ).

cnf(c_0_282,plain,
    cell68 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27662]) ).

cnf(c_0_283,plain,
    cell67 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27729]) ).

cnf(c_0_284,plain,
    cell66 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27795]) ).

fof(c_0_285,plain,
    ! [X2,X1] :
      ( epred30_2(X1,X2)
    <=> ( epred29_2(X1,X2)
        | ( X2 = cell56
          & X1 = cell66 )
        | ( X2 = cell57
          & X1 = cell67 )
        | ( X2 = cell58
          & X1 = cell68 )
        | ( X2 = cell59
          & X1 = cell69 )
        | ( X2 = cell60
          & X1 = cell70 ) ) ),
    inference(apply_def,[status(thm)],[c_0_261,c_0_277]) ).

cnf(c_0_286,plain,
    ( X1 = cell75
    | X2 = cell64
    | X2 = cell63
    | X2 = cell62
    | X2 = cell61
    | epred30_2(X1,X2)
    | ~ epred31_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_287,plain,
    ( epred31_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_270,c_0_279]),c_0_280]),c_0_281]),c_0_282]),c_0_283]),c_0_284]) ).

cnf(c_0_288,plain,
    cell75 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27165]) ).

cnf(c_0_289,plain,
    cell64 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27925]) ).

cnf(c_0_290,plain,
    cell63 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27988]) ).

cnf(c_0_291,plain,
    cell62 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28111]) ).

cnf(c_0_292,plain,
    cell61 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28050]) ).

fof(c_0_293,plain,
    ! [X2,X1] :
      ( epred28_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 )
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 ) ) ),
    introduced(definition) ).

fof(c_0_294,plain,
    ! [X67,X68] :
      ( ( X67 = cell60
        | X67 = cell59
        | X67 = cell58
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X67 = cell58
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X67 = cell58
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X67 = cell58
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X68 = cell68
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X68 = cell68
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X68 = cell68
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X68 = cell68
        | X67 = cell57
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X67 = cell58
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X67 = cell58
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X67 = cell58
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X67 = cell58
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X68 = cell68
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X68 = cell68
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X68 = cell68
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X68 = cell68
        | X68 = cell67
        | X67 = cell56
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X67 = cell58
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X67 = cell58
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X67 = cell58
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X67 = cell58
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X68 = cell68
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X68 = cell68
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X68 = cell68
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X68 = cell68
        | X67 = cell57
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X67 = cell58
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X67 = cell58
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X67 = cell58
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X67 = cell58
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X67 = cell59
        | X68 = cell68
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X67 = cell59
        | X68 = cell68
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X67 = cell60
        | X68 = cell69
        | X68 = cell68
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( X68 = cell70
        | X68 = cell69
        | X68 = cell68
        | X68 = cell67
        | X68 = cell66
        | epred29_2(X68,X67)
        | ~ epred30_2(X68,X67) )
      & ( ~ epred29_2(X68,X67)
        | epred30_2(X68,X67) )
      & ( X67 != cell56
        | X68 != cell66
        | epred30_2(X68,X67) )
      & ( X67 != cell57
        | X68 != cell67
        | epred30_2(X68,X67) )
      & ( X67 != cell58
        | X68 != cell68
        | epred30_2(X68,X67) )
      & ( X67 != cell59
        | X68 != cell69
        | epred30_2(X68,X67) )
      & ( X67 != cell60
        | X68 != cell70
        | epred30_2(X68,X67) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_285])])]) ).

cnf(c_0_295,plain,
    ( epred31_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_286,c_0_287]),c_0_288]),c_0_289]),c_0_290]),c_0_291]),c_0_292]) ).

cnf(c_0_296,plain,
    cell75 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27166]) ).

cnf(c_0_297,plain,
    cell64 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27924]) ).

cnf(c_0_298,plain,
    cell63 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27987]) ).

cnf(c_0_299,plain,
    cell62 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28110]) ).

cnf(c_0_300,plain,
    cell61 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28049]) ).

fof(c_0_301,plain,
    ! [X2,X1] :
      ( epred29_2(X1,X2)
    <=> ( epred28_2(X1,X2)
        | ( X2 = cell51
          & X1 = cell61 )
        | ( X2 = cell52
          & X1 = cell62 )
        | ( X2 = cell53
          & X1 = cell63 )
        | ( X2 = cell54
          & X1 = cell64 )
        | ( X2 = cell55
          & X1 = cell65 ) ) ),
    inference(apply_def,[status(thm)],[c_0_277,c_0_293]) ).

cnf(c_0_302,plain,
    ( X1 = cell70
    | X2 = cell59
    | X2 = cell58
    | X2 = cell57
    | X2 = cell56
    | epred29_2(X1,X2)
    | ~ epred30_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_303,plain,
    ( epred30_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_286,c_0_295]),c_0_296]),c_0_297]),c_0_298]),c_0_299]),c_0_300]) ).

cnf(c_0_304,plain,
    cell70 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27525]) ).

cnf(c_0_305,plain,
    cell59 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28230]) ).

cnf(c_0_306,plain,
    cell58 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28288]) ).

cnf(c_0_307,plain,
    cell57 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28345]) ).

cnf(c_0_308,plain,
    cell56 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28401]) ).

fof(c_0_309,plain,
    ! [X2,X1] :
      ( epred27_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 )
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 ) ) ),
    introduced(definition) ).

fof(c_0_310,plain,
    ! [X65,X66] :
      ( ( X65 = cell55
        | X65 = cell54
        | X65 = cell53
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X65 = cell53
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X65 = cell53
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X65 = cell53
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X66 = cell63
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X66 = cell63
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X66 = cell63
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X66 = cell63
        | X65 = cell52
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X65 = cell53
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X65 = cell53
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X65 = cell53
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X65 = cell53
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X66 = cell63
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X66 = cell63
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X66 = cell63
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X66 = cell63
        | X66 = cell62
        | X65 = cell51
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X65 = cell53
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X65 = cell53
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X65 = cell53
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X65 = cell53
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X66 = cell63
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X66 = cell63
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X66 = cell63
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X66 = cell63
        | X65 = cell52
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X65 = cell53
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X65 = cell53
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X65 = cell53
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X65 = cell53
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X65 = cell54
        | X66 = cell63
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X65 = cell54
        | X66 = cell63
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X65 = cell55
        | X66 = cell64
        | X66 = cell63
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( X66 = cell65
        | X66 = cell64
        | X66 = cell63
        | X66 = cell62
        | X66 = cell61
        | epred28_2(X66,X65)
        | ~ epred29_2(X66,X65) )
      & ( ~ epred28_2(X66,X65)
        | epred29_2(X66,X65) )
      & ( X65 != cell51
        | X66 != cell61
        | epred29_2(X66,X65) )
      & ( X65 != cell52
        | X66 != cell62
        | epred29_2(X66,X65) )
      & ( X65 != cell53
        | X66 != cell63
        | epred29_2(X66,X65) )
      & ( X65 != cell54
        | X66 != cell64
        | epred29_2(X66,X65) )
      & ( X65 != cell55
        | X66 != cell65
        | epred29_2(X66,X65) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_301])])]) ).

cnf(c_0_311,plain,
    ( epred30_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_302,c_0_303]),c_0_304]),c_0_305]),c_0_306]),c_0_307]),c_0_308]) ).

cnf(c_0_312,plain,
    cell70 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27526]) ).

cnf(c_0_313,plain,
    cell59 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28229]) ).

cnf(c_0_314,plain,
    cell58 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28287]) ).

cnf(c_0_315,plain,
    cell57 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28344]) ).

cnf(c_0_316,plain,
    cell56 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28400]) ).

fof(c_0_317,plain,
    ! [X2,X1] :
      ( epred28_2(X1,X2)
    <=> ( epred27_2(X1,X2)
        | ( X2 = cell46
          & X1 = cell56 )
        | ( X2 = cell47
          & X1 = cell57 )
        | ( X2 = cell48
          & X1 = cell58 )
        | ( X2 = cell49
          & X1 = cell59 )
        | ( X2 = cell50
          & X1 = cell60 ) ) ),
    inference(apply_def,[status(thm)],[c_0_293,c_0_309]) ).

cnf(c_0_318,plain,
    ( X1 = cell65
    | X2 = cell54
    | X2 = cell53
    | X2 = cell52
    | X2 = cell51
    | epred28_2(X1,X2)
    | ~ epred29_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_319,plain,
    ( epred29_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_302,c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_315]),c_0_316]) ).

cnf(c_0_320,plain,
    cell65 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof27860]) ).

cnf(c_0_321,plain,
    cell54 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28510]) ).

cnf(c_0_322,plain,
    cell53 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28563]) ).

cnf(c_0_323,plain,
    cell52 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28666]) ).

cnf(c_0_324,plain,
    cell51 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28615]) ).

fof(c_0_325,plain,
    ! [X2,X1] :
      ( epred26_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 )
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 ) ) ),
    introduced(definition) ).

fof(c_0_326,plain,
    ! [X63,X64] :
      ( ( X63 = cell50
        | X63 = cell49
        | X63 = cell48
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X63 = cell48
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X63 = cell48
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X63 = cell48
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X64 = cell58
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X64 = cell58
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X64 = cell58
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X64 = cell58
        | X63 = cell47
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X63 = cell48
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X63 = cell48
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X63 = cell48
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X63 = cell48
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X64 = cell58
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X64 = cell58
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X64 = cell58
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X64 = cell58
        | X64 = cell57
        | X63 = cell46
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X63 = cell48
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X63 = cell48
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X63 = cell48
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X63 = cell48
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X64 = cell58
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X64 = cell58
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X64 = cell58
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X64 = cell58
        | X63 = cell47
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X63 = cell48
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X63 = cell48
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X63 = cell48
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X63 = cell48
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X63 = cell49
        | X64 = cell58
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X63 = cell49
        | X64 = cell58
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X63 = cell50
        | X64 = cell59
        | X64 = cell58
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( X64 = cell60
        | X64 = cell59
        | X64 = cell58
        | X64 = cell57
        | X64 = cell56
        | epred27_2(X64,X63)
        | ~ epred28_2(X64,X63) )
      & ( ~ epred27_2(X64,X63)
        | epred28_2(X64,X63) )
      & ( X63 != cell46
        | X64 != cell56
        | epred28_2(X64,X63) )
      & ( X63 != cell47
        | X64 != cell57
        | epred28_2(X64,X63) )
      & ( X63 != cell48
        | X64 != cell58
        | epred28_2(X64,X63) )
      & ( X63 != cell49
        | X64 != cell59
        | epred28_2(X64,X63) )
      & ( X63 != cell50
        | X64 != cell60
        | epred28_2(X64,X63) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_317])])]) ).

cnf(c_0_327,plain,
    ( epred29_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_318,c_0_319]),c_0_320]),c_0_321]),c_0_322]),c_0_323]),c_0_324]) ).

cnf(c_0_328,plain,
    cell65 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof27861]) ).

cnf(c_0_329,plain,
    cell54 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28509]) ).

cnf(c_0_330,plain,
    cell53 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28562]) ).

cnf(c_0_331,plain,
    cell52 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28665]) ).

cnf(c_0_332,plain,
    cell51 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28614]) ).

fof(c_0_333,plain,
    ! [X2,X1] :
      ( epred27_2(X1,X2)
    <=> ( epred26_2(X1,X2)
        | ( X2 = cell41
          & X1 = cell51 )
        | ( X2 = cell42
          & X1 = cell52 )
        | ( X2 = cell43
          & X1 = cell53 )
        | ( X2 = cell44
          & X1 = cell54 )
        | ( X2 = cell45
          & X1 = cell55 ) ) ),
    inference(apply_def,[status(thm)],[c_0_309,c_0_325]) ).

cnf(c_0_334,plain,
    ( X1 = cell60
    | X2 = cell49
    | X2 = cell48
    | X2 = cell47
    | X2 = cell46
    | epred27_2(X1,X2)
    | ~ epred28_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_335,plain,
    ( epred28_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_318,c_0_327]),c_0_328]),c_0_329]),c_0_330]),c_0_331]),c_0_332]) ).

cnf(c_0_336,plain,
    cell60 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28170]) ).

cnf(c_0_337,plain,
    cell49 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28765]) ).

cnf(c_0_338,plain,
    cell48 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28813]) ).

cnf(c_0_339,plain,
    cell47 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28860]) ).

cnf(c_0_340,plain,
    cell46 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28906]) ).

fof(c_0_341,plain,
    ! [X2,X1] :
      ( epred25_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 )
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 ) ) ),
    introduced(definition) ).

fof(c_0_342,plain,
    ! [X61,X62] :
      ( ( X61 = cell45
        | X61 = cell44
        | X61 = cell43
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X61 = cell43
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X61 = cell43
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X61 = cell43
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X62 = cell53
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X62 = cell53
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X62 = cell53
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X62 = cell53
        | X61 = cell42
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X61 = cell43
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X61 = cell43
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X61 = cell43
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X61 = cell43
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X62 = cell53
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X62 = cell53
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X62 = cell53
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X62 = cell53
        | X62 = cell52
        | X61 = cell41
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X61 = cell43
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X61 = cell43
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X61 = cell43
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X61 = cell43
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X62 = cell53
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X62 = cell53
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X62 = cell53
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X62 = cell53
        | X61 = cell42
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X61 = cell43
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X61 = cell43
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X61 = cell43
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X61 = cell43
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X61 = cell44
        | X62 = cell53
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X61 = cell44
        | X62 = cell53
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X61 = cell45
        | X62 = cell54
        | X62 = cell53
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( X62 = cell55
        | X62 = cell54
        | X62 = cell53
        | X62 = cell52
        | X62 = cell51
        | epred26_2(X62,X61)
        | ~ epred27_2(X62,X61) )
      & ( ~ epred26_2(X62,X61)
        | epred27_2(X62,X61) )
      & ( X61 != cell41
        | X62 != cell51
        | epred27_2(X62,X61) )
      & ( X61 != cell42
        | X62 != cell52
        | epred27_2(X62,X61) )
      & ( X61 != cell43
        | X62 != cell53
        | epred27_2(X62,X61) )
      & ( X61 != cell44
        | X62 != cell54
        | epred27_2(X62,X61) )
      & ( X61 != cell45
        | X62 != cell55
        | epred27_2(X62,X61) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_333])])]) ).

cnf(c_0_343,plain,
    ( epred28_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_334,c_0_335]),c_0_336]),c_0_337]),c_0_338]),c_0_339]),c_0_340]) ).

cnf(c_0_344,plain,
    cell60 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28171]) ).

cnf(c_0_345,plain,
    cell49 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28764]) ).

cnf(c_0_346,plain,
    cell48 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28812]) ).

cnf(c_0_347,plain,
    cell47 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28859]) ).

cnf(c_0_348,plain,
    cell46 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28905]) ).

fof(c_0_349,plain,
    ! [X2,X1] :
      ( epred26_2(X1,X2)
    <=> ( epred25_2(X1,X2)
        | ( X2 = cell36
          & X1 = cell46 )
        | ( X2 = cell37
          & X1 = cell47 )
        | ( X2 = cell38
          & X1 = cell48 )
        | ( X2 = cell39
          & X1 = cell49 )
        | ( X2 = cell40
          & X1 = cell50 ) ) ),
    inference(apply_def,[status(thm)],[c_0_325,c_0_341]) ).

cnf(c_0_350,plain,
    ( X1 = cell55
    | X2 = cell44
    | X2 = cell43
    | X2 = cell42
    | X2 = cell41
    | epred26_2(X1,X2)
    | ~ epred27_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_351,plain,
    ( epred27_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_334,c_0_343]),c_0_344]),c_0_345]),c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_352,plain,
    cell55 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28455]) ).

cnf(c_0_353,plain,
    cell44 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28995]) ).

cnf(c_0_354,plain,
    cell43 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29038]) ).

cnf(c_0_355,plain,
    cell42 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29121]) ).

cnf(c_0_356,plain,
    cell41 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29080]) ).

fof(c_0_357,plain,
    ! [X2,X1] :
      ( epred24_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 )
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 ) ) ),
    introduced(definition) ).

fof(c_0_358,plain,
    ! [X59,X60] :
      ( ( X59 = cell40
        | X59 = cell39
        | X59 = cell38
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X59 = cell38
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X59 = cell38
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X59 = cell38
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X60 = cell48
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X60 = cell48
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X60 = cell48
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X60 = cell48
        | X59 = cell37
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X59 = cell38
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X59 = cell38
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X59 = cell38
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X59 = cell38
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X60 = cell48
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X60 = cell48
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X60 = cell48
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X60 = cell48
        | X60 = cell47
        | X59 = cell36
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X59 = cell38
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X59 = cell38
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X59 = cell38
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X59 = cell38
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X60 = cell48
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X60 = cell48
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X60 = cell48
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X60 = cell48
        | X59 = cell37
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X59 = cell38
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X59 = cell38
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X59 = cell38
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X59 = cell38
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X59 = cell39
        | X60 = cell48
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X59 = cell39
        | X60 = cell48
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X59 = cell40
        | X60 = cell49
        | X60 = cell48
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( X60 = cell50
        | X60 = cell49
        | X60 = cell48
        | X60 = cell47
        | X60 = cell46
        | epred25_2(X60,X59)
        | ~ epred26_2(X60,X59) )
      & ( ~ epred25_2(X60,X59)
        | epred26_2(X60,X59) )
      & ( X59 != cell36
        | X60 != cell46
        | epred26_2(X60,X59) )
      & ( X59 != cell37
        | X60 != cell47
        | epred26_2(X60,X59) )
      & ( X59 != cell38
        | X60 != cell48
        | epred26_2(X60,X59) )
      & ( X59 != cell39
        | X60 != cell49
        | epred26_2(X60,X59) )
      & ( X59 != cell40
        | X60 != cell50
        | epred26_2(X60,X59) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_349])])]) ).

cnf(c_0_359,plain,
    ( epred27_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_350,c_0_351]),c_0_352]),c_0_353]),c_0_354]),c_0_355]),c_0_356]) ).

cnf(c_0_360,plain,
    cell55 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28456]) ).

cnf(c_0_361,plain,
    cell44 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28994]) ).

cnf(c_0_362,plain,
    cell43 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29037]) ).

cnf(c_0_363,plain,
    cell42 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29120]) ).

cnf(c_0_364,plain,
    cell41 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29079]) ).

fof(c_0_365,plain,
    ! [X2,X1] :
      ( epred25_2(X1,X2)
    <=> ( epred24_2(X1,X2)
        | ( X2 = cell31
          & X1 = cell41 )
        | ( X2 = cell32
          & X1 = cell42 )
        | ( X2 = cell33
          & X1 = cell43 )
        | ( X2 = cell34
          & X1 = cell44 )
        | ( X2 = cell35
          & X1 = cell45 ) ) ),
    inference(apply_def,[status(thm)],[c_0_341,c_0_357]) ).

cnf(c_0_366,plain,
    ( X1 = cell50
    | X2 = cell39
    | X2 = cell38
    | X2 = cell37
    | X2 = cell36
    | epred25_2(X1,X2)
    | ~ epred26_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_367,plain,
    ( epred26_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_350,c_0_359]),c_0_360]),c_0_361]),c_0_362]),c_0_363]),c_0_364]) ).

cnf(c_0_368,plain,
    cell50 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28715]) ).

cnf(c_0_369,plain,
    cell39 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29200]) ).

cnf(c_0_370,plain,
    cell38 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29238]) ).

cnf(c_0_371,plain,
    cell37 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29275]) ).

cnf(c_0_372,plain,
    cell36 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29311]) ).

fof(c_0_373,plain,
    ! [X2,X1] :
      ( epred23_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 )
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 ) ) ),
    introduced(definition) ).

fof(c_0_374,plain,
    ! [X57,X58] :
      ( ( X57 = cell35
        | X57 = cell34
        | X57 = cell33
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X57 = cell33
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X57 = cell33
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X57 = cell33
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X58 = cell43
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X58 = cell43
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X58 = cell43
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X58 = cell43
        | X57 = cell32
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X57 = cell33
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X57 = cell33
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X57 = cell33
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X57 = cell33
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X58 = cell43
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X58 = cell43
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X58 = cell43
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X58 = cell43
        | X58 = cell42
        | X57 = cell31
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X57 = cell33
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X57 = cell33
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X57 = cell33
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X57 = cell33
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X58 = cell43
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X58 = cell43
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X58 = cell43
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X58 = cell43
        | X57 = cell32
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X57 = cell33
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X57 = cell33
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X57 = cell33
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X57 = cell33
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X57 = cell34
        | X58 = cell43
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X57 = cell34
        | X58 = cell43
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X57 = cell35
        | X58 = cell44
        | X58 = cell43
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( X58 = cell45
        | X58 = cell44
        | X58 = cell43
        | X58 = cell42
        | X58 = cell41
        | epred24_2(X58,X57)
        | ~ epred25_2(X58,X57) )
      & ( ~ epred24_2(X58,X57)
        | epred25_2(X58,X57) )
      & ( X57 != cell31
        | X58 != cell41
        | epred25_2(X58,X57) )
      & ( X57 != cell32
        | X58 != cell42
        | epred25_2(X58,X57) )
      & ( X57 != cell33
        | X58 != cell43
        | epred25_2(X58,X57) )
      & ( X57 != cell34
        | X58 != cell44
        | epred25_2(X58,X57) )
      & ( X57 != cell35
        | X58 != cell45
        | epred25_2(X58,X57) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_365])])]) ).

cnf(c_0_375,plain,
    ( epred26_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_366,c_0_367]),c_0_368]),c_0_369]),c_0_370]),c_0_371]),c_0_372]) ).

cnf(c_0_376,plain,
    cell50 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28716]) ).

cnf(c_0_377,plain,
    cell39 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29199]) ).

cnf(c_0_378,plain,
    cell38 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29237]) ).

cnf(c_0_379,plain,
    cell37 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29274]) ).

cnf(c_0_380,plain,
    cell36 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29310]) ).

fof(c_0_381,plain,
    ! [X2,X1] :
      ( epred24_2(X1,X2)
    <=> ( epred23_2(X1,X2)
        | ( X2 = cell26
          & X1 = cell36 )
        | ( X2 = cell27
          & X1 = cell37 )
        | ( X2 = cell28
          & X1 = cell38 )
        | ( X2 = cell29
          & X1 = cell39 )
        | ( X2 = cell30
          & X1 = cell40 ) ) ),
    inference(apply_def,[status(thm)],[c_0_357,c_0_373]) ).

cnf(c_0_382,plain,
    ( X1 = cell45
    | X2 = cell34
    | X2 = cell33
    | X2 = cell32
    | X2 = cell31
    | epred24_2(X1,X2)
    | ~ epred25_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_383,plain,
    ( epred25_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_366,c_0_375]),c_0_376]),c_0_377]),c_0_378]),c_0_379]),c_0_380]) ).

cnf(c_0_384,plain,
    cell45 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof28950]) ).

cnf(c_0_385,plain,
    cell34 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29380]) ).

cnf(c_0_386,plain,
    cell33 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29413]) ).

cnf(c_0_387,plain,
    cell32 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29476]) ).

cnf(c_0_388,plain,
    cell31 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29445]) ).

fof(c_0_389,plain,
    ! [X2,X1] :
      ( epred22_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 )
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 ) ) ),
    introduced(definition) ).

fof(c_0_390,plain,
    ! [X55,X56] :
      ( ( X55 = cell30
        | X55 = cell29
        | X55 = cell28
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X55 = cell28
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X55 = cell28
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X55 = cell28
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X56 = cell38
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X56 = cell38
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X56 = cell38
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X56 = cell38
        | X55 = cell27
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X55 = cell28
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X55 = cell28
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X55 = cell28
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X55 = cell28
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X56 = cell38
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X56 = cell38
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X56 = cell38
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X56 = cell38
        | X56 = cell37
        | X55 = cell26
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X55 = cell28
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X55 = cell28
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X55 = cell28
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X55 = cell28
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X56 = cell38
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X56 = cell38
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X56 = cell38
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X56 = cell38
        | X55 = cell27
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X55 = cell28
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X55 = cell28
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X55 = cell28
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X55 = cell28
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X55 = cell29
        | X56 = cell38
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X55 = cell29
        | X56 = cell38
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X55 = cell30
        | X56 = cell39
        | X56 = cell38
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( X56 = cell40
        | X56 = cell39
        | X56 = cell38
        | X56 = cell37
        | X56 = cell36
        | epred23_2(X56,X55)
        | ~ epred24_2(X56,X55) )
      & ( ~ epred23_2(X56,X55)
        | epred24_2(X56,X55) )
      & ( X55 != cell26
        | X56 != cell36
        | epred24_2(X56,X55) )
      & ( X55 != cell27
        | X56 != cell37
        | epred24_2(X56,X55) )
      & ( X55 != cell28
        | X56 != cell38
        | epred24_2(X56,X55) )
      & ( X55 != cell29
        | X56 != cell39
        | epred24_2(X56,X55) )
      & ( X55 != cell30
        | X56 != cell40
        | epred24_2(X56,X55) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_381])])]) ).

cnf(c_0_391,plain,
    ( epred25_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_382,c_0_383]),c_0_384]),c_0_385]),c_0_386]),c_0_387]),c_0_388]) ).

cnf(c_0_392,plain,
    cell45 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof28951]) ).

cnf(c_0_393,plain,
    cell34 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29379]) ).

cnf(c_0_394,plain,
    cell33 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29412]) ).

cnf(c_0_395,plain,
    cell32 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29475]) ).

cnf(c_0_396,plain,
    cell31 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29444]) ).

fof(c_0_397,plain,
    ! [X2,X1] :
      ( epred23_2(X1,X2)
    <=> ( epred22_2(X1,X2)
        | ( X2 = cell21
          & X1 = cell31 )
        | ( X2 = cell22
          & X1 = cell32 )
        | ( X2 = cell23
          & X1 = cell33 )
        | ( X2 = cell24
          & X1 = cell34 )
        | ( X2 = cell25
          & X1 = cell35 ) ) ),
    inference(apply_def,[status(thm)],[c_0_373,c_0_389]) ).

cnf(c_0_398,plain,
    ( X1 = cell40
    | X2 = cell29
    | X2 = cell28
    | X2 = cell27
    | X2 = cell26
    | epred23_2(X1,X2)
    | ~ epred24_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_399,plain,
    ( epred24_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_382,c_0_391]),c_0_392]),c_0_393]),c_0_394]),c_0_395]),c_0_396]) ).

cnf(c_0_400,plain,
    cell40 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29160]) ).

cnf(c_0_401,plain,
    cell29 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29535]) ).

cnf(c_0_402,plain,
    cell28 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29563]) ).

cnf(c_0_403,plain,
    cell27 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29590]) ).

cnf(c_0_404,plain,
    cell26 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29616]) ).

fof(c_0_405,plain,
    ! [X2,X1] :
      ( epred21_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 )
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 ) ) ),
    introduced(definition) ).

fof(c_0_406,plain,
    ! [X53,X54] :
      ( ( X53 = cell25
        | X53 = cell24
        | X53 = cell23
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X53 = cell23
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X53 = cell23
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X53 = cell23
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X54 = cell33
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X54 = cell33
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X54 = cell33
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X54 = cell33
        | X53 = cell22
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X53 = cell23
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X53 = cell23
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X53 = cell23
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X53 = cell23
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X54 = cell33
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X54 = cell33
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X54 = cell33
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X54 = cell33
        | X54 = cell32
        | X53 = cell21
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X53 = cell23
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X53 = cell23
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X53 = cell23
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X53 = cell23
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X54 = cell33
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X54 = cell33
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X54 = cell33
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X54 = cell33
        | X53 = cell22
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X53 = cell23
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X53 = cell23
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X53 = cell23
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X53 = cell23
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X53 = cell24
        | X54 = cell33
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X53 = cell24
        | X54 = cell33
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X53 = cell25
        | X54 = cell34
        | X54 = cell33
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( X54 = cell35
        | X54 = cell34
        | X54 = cell33
        | X54 = cell32
        | X54 = cell31
        | epred22_2(X54,X53)
        | ~ epred23_2(X54,X53) )
      & ( ~ epred22_2(X54,X53)
        | epred23_2(X54,X53) )
      & ( X53 != cell21
        | X54 != cell31
        | epred23_2(X54,X53) )
      & ( X53 != cell22
        | X54 != cell32
        | epred23_2(X54,X53) )
      & ( X53 != cell23
        | X54 != cell33
        | epred23_2(X54,X53) )
      & ( X53 != cell24
        | X54 != cell34
        | epred23_2(X54,X53) )
      & ( X53 != cell25
        | X54 != cell35
        | epred23_2(X54,X53) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_397])])]) ).

cnf(c_0_407,plain,
    ( epred24_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_398,c_0_399]),c_0_400]),c_0_401]),c_0_402]),c_0_403]),c_0_404]) ).

cnf(c_0_408,plain,
    cell40 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29161]) ).

cnf(c_0_409,plain,
    cell29 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29534]) ).

cnf(c_0_410,plain,
    cell28 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29562]) ).

cnf(c_0_411,plain,
    cell27 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29589]) ).

cnf(c_0_412,plain,
    cell26 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29615]) ).

fof(c_0_413,plain,
    ! [X2,X1] :
      ( epred22_2(X1,X2)
    <=> ( epred21_2(X1,X2)
        | ( X2 = cell16
          & X1 = cell26 )
        | ( X2 = cell17
          & X1 = cell27 )
        | ( X2 = cell18
          & X1 = cell28 )
        | ( X2 = cell19
          & X1 = cell29 )
        | ( X2 = cell20
          & X1 = cell30 ) ) ),
    inference(apply_def,[status(thm)],[c_0_389,c_0_405]) ).

cnf(c_0_414,plain,
    ( X1 = cell35
    | X2 = cell24
    | X2 = cell23
    | X2 = cell22
    | X2 = cell21
    | epred22_2(X1,X2)
    | ~ epred23_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_415,plain,
    ( epred23_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_398,c_0_407]),c_0_408]),c_0_409]),c_0_410]),c_0_411]),c_0_412]) ).

cnf(c_0_416,plain,
    cell35 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29345]) ).

cnf(c_0_417,plain,
    cell24 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29665]) ).

cnf(c_0_418,plain,
    cell23 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29688]) ).

cnf(c_0_419,plain,
    cell22 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29731]) ).

cnf(c_0_420,plain,
    cell21 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29710]) ).

fof(c_0_421,plain,
    ! [X2,X1] :
      ( epred20_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 )
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 ) ) ),
    introduced(definition) ).

fof(c_0_422,plain,
    ! [X51,X52] :
      ( ( X51 = cell20
        | X51 = cell19
        | X51 = cell18
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X51 = cell18
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X51 = cell18
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X51 = cell18
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X52 = cell28
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X52 = cell28
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X52 = cell28
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X52 = cell28
        | X51 = cell17
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X51 = cell18
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X51 = cell18
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X51 = cell18
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X51 = cell18
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X52 = cell28
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X52 = cell28
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X52 = cell28
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X52 = cell28
        | X52 = cell27
        | X51 = cell16
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X51 = cell18
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X51 = cell18
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X51 = cell18
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X51 = cell18
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X52 = cell28
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X52 = cell28
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X52 = cell28
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X52 = cell28
        | X51 = cell17
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X51 = cell18
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X51 = cell18
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X51 = cell18
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X51 = cell18
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X51 = cell19
        | X52 = cell28
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X51 = cell19
        | X52 = cell28
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X51 = cell20
        | X52 = cell29
        | X52 = cell28
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( X52 = cell30
        | X52 = cell29
        | X52 = cell28
        | X52 = cell27
        | X52 = cell26
        | epred21_2(X52,X51)
        | ~ epred22_2(X52,X51) )
      & ( ~ epred21_2(X52,X51)
        | epred22_2(X52,X51) )
      & ( X51 != cell16
        | X52 != cell26
        | epred22_2(X52,X51) )
      & ( X51 != cell17
        | X52 != cell27
        | epred22_2(X52,X51) )
      & ( X51 != cell18
        | X52 != cell28
        | epred22_2(X52,X51) )
      & ( X51 != cell19
        | X52 != cell29
        | epred22_2(X52,X51) )
      & ( X51 != cell20
        | X52 != cell30
        | epred22_2(X52,X51) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_413])])]) ).

cnf(c_0_423,plain,
    ( epred23_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_414,c_0_415]),c_0_416]),c_0_417]),c_0_418]),c_0_419]),c_0_420]) ).

cnf(c_0_424,plain,
    cell35 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29346]) ).

cnf(c_0_425,plain,
    cell24 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29664]) ).

cnf(c_0_426,plain,
    cell23 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29687]) ).

cnf(c_0_427,plain,
    cell22 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29730]) ).

cnf(c_0_428,plain,
    cell21 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29709]) ).

fof(c_0_429,plain,
    ! [X2,X1] :
      ( epred21_2(X1,X2)
    <=> ( epred20_2(X1,X2)
        | ( X2 = cell11
          & X1 = cell21 )
        | ( X2 = cell12
          & X1 = cell22 )
        | ( X2 = cell13
          & X1 = cell23 )
        | ( X2 = cell14
          & X1 = cell24 )
        | ( X2 = cell15
          & X1 = cell25 ) ) ),
    inference(apply_def,[status(thm)],[c_0_405,c_0_421]) ).

cnf(c_0_430,plain,
    ( X1 = cell30
    | X2 = cell19
    | X2 = cell18
    | X2 = cell17
    | X2 = cell16
    | epred21_2(X1,X2)
    | ~ epred22_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_431,plain,
    ( epred22_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_414,c_0_423]),c_0_424]),c_0_425]),c_0_426]),c_0_427]),c_0_428]) ).

cnf(c_0_432,plain,
    cell30 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29505]) ).

cnf(c_0_433,plain,
    cell19 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29770]) ).

cnf(c_0_434,plain,
    cell18 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29788]) ).

cnf(c_0_435,plain,
    cell17 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29805]) ).

cnf(c_0_436,plain,
    cell16 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29821]) ).

fof(c_0_437,plain,
    ! [X2,X1] :
      ( epred19_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 )
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 ) ) ),
    introduced(definition) ).

fof(c_0_438,plain,
    ! [X49,X50] :
      ( ( X49 = cell15
        | X49 = cell14
        | X49 = cell13
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X49 = cell13
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X49 = cell13
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X49 = cell13
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X50 = cell23
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X50 = cell23
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X50 = cell23
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X50 = cell23
        | X49 = cell12
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X49 = cell13
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X49 = cell13
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X49 = cell13
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X49 = cell13
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X50 = cell23
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X50 = cell23
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X50 = cell23
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X50 = cell23
        | X50 = cell22
        | X49 = cell11
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X49 = cell13
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X49 = cell13
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X49 = cell13
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X49 = cell13
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X50 = cell23
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X50 = cell23
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X50 = cell23
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X50 = cell23
        | X49 = cell12
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X49 = cell13
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X49 = cell13
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X49 = cell13
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X49 = cell13
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X49 = cell14
        | X50 = cell23
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X49 = cell14
        | X50 = cell23
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X49 = cell15
        | X50 = cell24
        | X50 = cell23
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( X50 = cell25
        | X50 = cell24
        | X50 = cell23
        | X50 = cell22
        | X50 = cell21
        | epred20_2(X50,X49)
        | ~ epred21_2(X50,X49) )
      & ( ~ epred20_2(X50,X49)
        | epred21_2(X50,X49) )
      & ( X49 != cell11
        | X50 != cell21
        | epred21_2(X50,X49) )
      & ( X49 != cell12
        | X50 != cell22
        | epred21_2(X50,X49) )
      & ( X49 != cell13
        | X50 != cell23
        | epred21_2(X50,X49) )
      & ( X49 != cell14
        | X50 != cell24
        | epred21_2(X50,X49) )
      & ( X49 != cell15
        | X50 != cell25
        | epred21_2(X50,X49) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_429])])]) ).

cnf(c_0_439,plain,
    ( epred22_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_430,c_0_431]),c_0_432]),c_0_433]),c_0_434]),c_0_435]),c_0_436]) ).

cnf(c_0_440,plain,
    cell30 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29506]) ).

cnf(c_0_441,plain,
    cell19 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29769]) ).

cnf(c_0_442,plain,
    cell18 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29787]) ).

cnf(c_0_443,plain,
    cell17 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29804]) ).

cnf(c_0_444,plain,
    cell16 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29820]) ).

fof(c_0_445,plain,
    ! [X2,X1] :
      ( epred20_2(X1,X2)
    <=> ( epred19_2(X1,X2)
        | ( X2 = cell6
          & X1 = cell16 )
        | ( X2 = cell7
          & X1 = cell17 )
        | ( X2 = cell8
          & X1 = cell18 )
        | ( X2 = cell9
          & X1 = cell19 )
        | ( X2 = cell10
          & X1 = cell20 ) ) ),
    inference(apply_def,[status(thm)],[c_0_421,c_0_437]) ).

cnf(c_0_446,plain,
    ( X1 = cell25
    | X2 = cell14
    | X2 = cell13
    | X2 = cell12
    | X2 = cell11
    | epred20_2(X1,X2)
    | ~ epred21_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_447,plain,
    ( epred21_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_430,c_0_439]),c_0_440]),c_0_441]),c_0_442]),c_0_443]),c_0_444]) ).

cnf(c_0_448,plain,
    cell25 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29640]) ).

cnf(c_0_449,plain,
    cell14 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29850]) ).

cnf(c_0_450,plain,
    cell13 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29863]) ).

cnf(c_0_451,plain,
    cell12 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29886]) ).

cnf(c_0_452,plain,
    cell11 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29875]) ).

fof(c_0_453,plain,
    ! [X2,X1] :
      ( epred18_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 )
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 ) ) ),
    introduced(definition) ).

fof(c_0_454,plain,
    ! [X47,X48] :
      ( ( X47 = cell10
        | X47 = cell9
        | X47 = cell8
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X47 = cell8
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X47 = cell8
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X47 = cell8
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X48 = cell18
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X48 = cell18
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X48 = cell18
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X48 = cell18
        | X47 = cell7
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X47 = cell8
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X47 = cell8
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X47 = cell8
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X47 = cell8
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X48 = cell18
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X48 = cell18
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X48 = cell18
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X48 = cell18
        | X48 = cell17
        | X47 = cell6
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X47 = cell8
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X47 = cell8
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X47 = cell8
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X47 = cell8
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X48 = cell18
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X48 = cell18
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X48 = cell18
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X48 = cell18
        | X47 = cell7
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X47 = cell8
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X47 = cell8
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X47 = cell8
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X47 = cell8
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X47 = cell9
        | X48 = cell18
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X47 = cell9
        | X48 = cell18
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X47 = cell10
        | X48 = cell19
        | X48 = cell18
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( X48 = cell20
        | X48 = cell19
        | X48 = cell18
        | X48 = cell17
        | X48 = cell16
        | epred19_2(X48,X47)
        | ~ epred20_2(X48,X47) )
      & ( ~ epred19_2(X48,X47)
        | epred20_2(X48,X47) )
      & ( X47 != cell6
        | X48 != cell16
        | epred20_2(X48,X47) )
      & ( X47 != cell7
        | X48 != cell17
        | epred20_2(X48,X47) )
      & ( X47 != cell8
        | X48 != cell18
        | epred20_2(X48,X47) )
      & ( X47 != cell9
        | X48 != cell19
        | epred20_2(X48,X47) )
      & ( X47 != cell10
        | X48 != cell20
        | epred20_2(X48,X47) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_445])])]) ).

cnf(c_0_455,plain,
    ( epred21_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_446,c_0_447]),c_0_448]),c_0_449]),c_0_450]),c_0_451]),c_0_452]) ).

cnf(c_0_456,plain,
    cell25 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29641]) ).

cnf(c_0_457,plain,
    cell14 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29849]) ).

cnf(c_0_458,plain,
    cell13 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29862]) ).

cnf(c_0_459,plain,
    cell12 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29885]) ).

cnf(c_0_460,plain,
    cell11 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29874]) ).

fof(c_0_461,plain,
    ! [X2,X1] :
      ( epred19_2(X1,X2)
    <=> ( epred18_2(X1,X2)
        | ( X2 = cell1
          & X1 = cell11 )
        | ( X2 = cell2
          & X1 = cell12 )
        | ( X2 = cell3
          & X1 = cell13 )
        | ( X2 = cell4
          & X1 = cell14 )
        | ( X2 = cell5
          & X1 = cell15 ) ) ),
    inference(apply_def,[status(thm)],[c_0_437,c_0_453]) ).

cnf(c_0_462,plain,
    ( X1 = cell20
    | X2 = cell9
    | X2 = cell8
    | X2 = cell7
    | X2 = cell6
    | epred19_2(X1,X2)
    | ~ epred20_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_463,plain,
    ( epred20_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_446,c_0_455]),c_0_456]),c_0_457]),c_0_458]),c_0_459]),c_0_460]) ).

cnf(c_0_464,plain,
    cell20 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29750]) ).

cnf(c_0_465,plain,
    cell9 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29905]) ).

cnf(c_0_466,plain,
    cell8 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29913]) ).

cnf(c_0_467,plain,
    cell7 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29920]) ).

cnf(c_0_468,plain,
    cell6 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29926]) ).

fof(c_0_469,plain,
    ! [X2,X1] :
      ( epred17_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 )
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 ) ) ),
    introduced(definition) ).

fof(c_0_470,plain,
    ! [X45,X46] :
      ( ( X45 = cell5
        | X45 = cell4
        | X45 = cell3
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X45 = cell3
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X45 = cell3
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X45 = cell3
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X46 = cell13
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X46 = cell13
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X46 = cell13
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X46 = cell13
        | X45 = cell2
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X45 = cell3
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X45 = cell3
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X45 = cell3
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X45 = cell3
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X46 = cell13
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X46 = cell13
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X46 = cell13
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X46 = cell13
        | X46 = cell12
        | X45 = cell1
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X45 = cell3
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X45 = cell3
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X45 = cell3
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X45 = cell3
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X46 = cell13
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X46 = cell13
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X46 = cell13
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X46 = cell13
        | X45 = cell2
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X45 = cell3
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X45 = cell3
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X45 = cell3
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X45 = cell3
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X45 = cell4
        | X46 = cell13
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X45 = cell4
        | X46 = cell13
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X45 = cell5
        | X46 = cell14
        | X46 = cell13
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( X46 = cell15
        | X46 = cell14
        | X46 = cell13
        | X46 = cell12
        | X46 = cell11
        | epred18_2(X46,X45)
        | ~ epred19_2(X46,X45) )
      & ( ~ epred18_2(X46,X45)
        | epred19_2(X46,X45) )
      & ( X45 != cell1
        | X46 != cell11
        | epred19_2(X46,X45) )
      & ( X45 != cell2
        | X46 != cell12
        | epred19_2(X46,X45) )
      & ( X45 != cell3
        | X46 != cell13
        | epred19_2(X46,X45) )
      & ( X45 != cell4
        | X46 != cell14
        | epred19_2(X46,X45) )
      & ( X45 != cell5
        | X46 != cell15
        | epred19_2(X46,X45) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_461])])]) ).

cnf(c_0_471,plain,
    ( epred20_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_462,c_0_463]),c_0_464]),c_0_465]),c_0_466]),c_0_467]),c_0_468]) ).

cnf(c_0_472,plain,
    cell20 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29751]) ).

cnf(c_0_473,plain,
    cell9 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29904]) ).

cnf(c_0_474,plain,
    cell8 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29912]) ).

cnf(c_0_475,plain,
    cell7 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29919]) ).

cnf(c_0_476,plain,
    cell6 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29925]) ).

fof(c_0_477,plain,
    ! [X2,X1] :
      ( epred18_2(X1,X2)
    <=> ( epred17_2(X1,X2)
        | ( X2 = cell95
          & X1 = cell96 )
        | ( X2 = cell96
          & X1 = cell97 )
        | ( X2 = cell97
          & X1 = cell98 )
        | ( X2 = cell98
          & X1 = cell99 )
        | ( X2 = cell99
          & X1 = cell100 ) ) ),
    inference(apply_def,[status(thm)],[c_0_453,c_0_469]) ).

cnf(c_0_478,plain,
    ( X1 = cell15
    | X2 = cell4
    | X2 = cell3
    | X2 = cell2
    | X2 = cell1
    | epred18_2(X1,X2)
    | ~ epred19_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_479,plain,
    ( epred19_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_462,c_0_471]),c_0_472]),c_0_473]),c_0_474]),c_0_475]),c_0_476]) ).

cnf(c_0_480,plain,
    cell15 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29835]) ).

cnf(c_0_481,plain,
    cell4 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29935]) ).

cnf(c_0_482,plain,
    cell3 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29938]) ).

cnf(c_0_483,plain,
    cell2 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29940]) ).

fof(c_0_484,plain,
    ! [X2,X1] :
      ( epred16_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 )
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 ) ) ),
    introduced(definition) ).

fof(c_0_485,plain,
    ! [X43,X44] :
      ( ( X43 = cell99
        | X43 = cell98
        | X43 = cell97
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X43 = cell97
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X43 = cell97
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X43 = cell97
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X44 = cell98
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X44 = cell98
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X44 = cell98
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X44 = cell98
        | X43 = cell96
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X43 = cell97
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X43 = cell97
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X43 = cell97
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X43 = cell97
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X44 = cell98
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X44 = cell98
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X44 = cell98
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X44 = cell98
        | X44 = cell97
        | X43 = cell95
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X43 = cell97
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X43 = cell97
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X43 = cell97
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X43 = cell97
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X44 = cell98
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X44 = cell98
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X44 = cell98
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X44 = cell98
        | X43 = cell96
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X43 = cell97
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X43 = cell97
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X43 = cell97
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X43 = cell97
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X43 = cell98
        | X44 = cell98
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X43 = cell98
        | X44 = cell98
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X43 = cell99
        | X44 = cell99
        | X44 = cell98
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( X44 = cell100
        | X44 = cell99
        | X44 = cell98
        | X44 = cell97
        | X44 = cell96
        | epred17_2(X44,X43)
        | ~ epred18_2(X44,X43) )
      & ( ~ epred17_2(X44,X43)
        | epred18_2(X44,X43) )
      & ( X43 != cell95
        | X44 != cell96
        | epred18_2(X44,X43) )
      & ( X43 != cell96
        | X44 != cell97
        | epred18_2(X44,X43) )
      & ( X43 != cell97
        | X44 != cell98
        | epred18_2(X44,X43) )
      & ( X43 != cell98
        | X44 != cell99
        | epred18_2(X44,X43) )
      & ( X43 != cell99
        | X44 != cell100
        | epred18_2(X44,X43) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_477])])]) ).

cnf(c_0_486,plain,
    ( X1 = cell15
    | X2 = cell4
    | X2 = cell3
    | X2 = cell2
    | X1 = cell11
    | epred18_2(X1,X2)
    | ~ epred19_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_487,plain,
    ( epred19_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_478,c_0_479]),c_0_480]),c_0_481]),c_0_482]),c_0_483]),c_0_208]) ).

cnf(c_0_488,plain,
    cell15 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof29836]) ).

cnf(c_0_489,plain,
    cell4 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29934]) ).

cnf(c_0_490,plain,
    cell3 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29937]) ).

cnf(c_0_491,plain,
    cell2 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof29939]) ).

fof(c_0_492,plain,
    ! [X2,X1] :
      ( epred17_2(X1,X2)
    <=> ( epred16_2(X1,X2)
        | ( X2 = cell89
          & X1 = cell90 )
        | ( X2 = cell91
          & X1 = cell92 )
        | ( X2 = cell92
          & X1 = cell93 )
        | ( X2 = cell93
          & X1 = cell94 )
        | ( X2 = cell94
          & X1 = cell95 ) ) ),
    inference(apply_def,[status(thm)],[c_0_469,c_0_484]) ).

cnf(c_0_493,plain,
    ( X1 = cell100
    | X2 = cell98
    | X2 = cell97
    | X2 = cell96
    | X2 = cell95
    | epred17_2(X1,X2)
    | ~ epred18_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_494,plain,
    ( epred18_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_486,c_0_487]),c_0_488]),c_0_452]),c_0_489]),c_0_490]),c_0_491]) ).

fof(c_0_495,plain,
    ! [X2,X1] :
      ( epred15_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 )
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 ) ) ),
    introduced(definition) ).

fof(c_0_496,plain,
    ! [X41,X42] :
      ( ( X41 = cell94
        | X41 = cell93
        | X41 = cell92
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X41 = cell92
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X41 = cell92
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X41 = cell92
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X42 = cell93
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X42 = cell93
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X42 = cell93
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X42 = cell93
        | X41 = cell91
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X41 = cell92
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X41 = cell92
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X41 = cell92
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X41 = cell92
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X42 = cell93
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X42 = cell93
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X42 = cell93
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X42 = cell93
        | X42 = cell92
        | X41 = cell89
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X41 = cell92
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X41 = cell92
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X41 = cell92
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X41 = cell92
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X42 = cell93
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X42 = cell93
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X42 = cell93
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X42 = cell93
        | X41 = cell91
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X41 = cell92
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X41 = cell92
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X41 = cell92
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X41 = cell92
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X41 = cell93
        | X42 = cell93
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X41 = cell93
        | X42 = cell93
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X41 = cell94
        | X42 = cell94
        | X42 = cell93
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( X42 = cell95
        | X42 = cell94
        | X42 = cell93
        | X42 = cell92
        | X42 = cell90
        | epred16_2(X42,X41)
        | ~ epred17_2(X42,X41) )
      & ( ~ epred16_2(X42,X41)
        | epred17_2(X42,X41) )
      & ( X41 != cell89
        | X42 != cell90
        | epred17_2(X42,X41) )
      & ( X41 != cell91
        | X42 != cell92
        | epred17_2(X42,X41) )
      & ( X41 != cell92
        | X42 != cell93
        | epred17_2(X42,X41) )
      & ( X41 != cell93
        | X42 != cell94
        | epred17_2(X42,X41) )
      & ( X41 != cell94
        | X42 != cell95
        | epred17_2(X42,X41) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_492])])]) ).

cnf(c_0_497,plain,
    ( X1 = cell99
    | X2 = cell99
    | X2 = cell98
    | X2 = cell97
    | X2 = cell96
    | epred17_2(X2,X1)
    | ~ epred18_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_498,plain,
    ( epred18_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_493,c_0_494]),c_0_208]),c_0_219]),c_0_220]),c_0_221]),c_0_233]) ).

cnf(c_0_499,plain,
    cell99 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25089]) ).

fof(c_0_500,plain,
    ! [X2,X1] :
      ( epred16_2(X1,X2)
    <=> ( epred15_2(X1,X2)
        | ( X2 = cell84
          & X1 = cell85 )
        | ( X2 = cell85
          & X1 = cell86 )
        | ( X2 = cell86
          & X1 = cell87 )
        | ( X2 = cell87
          & X1 = cell88 )
        | ( X2 = cell88
          & X1 = cell89 ) ) ),
    inference(apply_def,[status(thm)],[c_0_484,c_0_495]) ).

cnf(c_0_501,plain,
    ( X1 = cell95
    | X2 = cell93
    | X2 = cell92
    | X2 = cell91
    | X2 = cell89
    | epred16_2(X1,X2)
    | ~ epred17_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_502,plain,
    ( epred17_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_497,c_0_498]),c_0_499]),c_0_218]),c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_503,plain,
    cell93 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25663]) ).

cnf(c_0_504,plain,
    cell92 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25846]) ).

cnf(c_0_505,plain,
    cell91 != cell100,
    inference(split_conjunct,[status(thm)],[tlhfof25755]) ).

fof(c_0_506,plain,
    ! [X2,X1] :
      ( epred14_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 )
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 ) ) ),
    introduced(definition) ).

fof(c_0_507,plain,
    ! [X39,X40] :
      ( ( X39 = cell88
        | X39 = cell87
        | X39 = cell86
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X39 = cell86
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X39 = cell86
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X39 = cell86
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X40 = cell87
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X40 = cell87
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X40 = cell87
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X40 = cell87
        | X39 = cell85
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X39 = cell86
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X39 = cell86
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X39 = cell86
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X39 = cell86
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X40 = cell87
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X40 = cell87
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X40 = cell87
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X40 = cell87
        | X40 = cell86
        | X39 = cell84
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X39 = cell86
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X39 = cell86
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X39 = cell86
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X39 = cell86
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X40 = cell87
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X40 = cell87
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X40 = cell87
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X40 = cell87
        | X39 = cell85
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X39 = cell86
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X39 = cell86
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X39 = cell86
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X39 = cell86
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X39 = cell87
        | X40 = cell87
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X39 = cell87
        | X40 = cell87
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X39 = cell88
        | X40 = cell88
        | X40 = cell87
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( X40 = cell89
        | X40 = cell88
        | X40 = cell87
        | X40 = cell86
        | X40 = cell85
        | epred15_2(X40,X39)
        | ~ epred16_2(X40,X39) )
      & ( ~ epred15_2(X40,X39)
        | epred16_2(X40,X39) )
      & ( X39 != cell84
        | X40 != cell85
        | epred16_2(X40,X39) )
      & ( X39 != cell85
        | X40 != cell86
        | epred16_2(X40,X39) )
      & ( X39 != cell86
        | X40 != cell87
        | epred16_2(X40,X39) )
      & ( X39 != cell87
        | X40 != cell88
        | epred16_2(X40,X39) )
      & ( X39 != cell88
        | X40 != cell89
        | epred16_2(X40,X39) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_500])])]) ).

cnf(c_0_508,plain,
    ( epred17_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_501,c_0_502]),c_0_225]),c_0_503]),c_0_504]),c_0_505]),c_0_209]) ).

cnf(c_0_509,plain,
    cell93 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25662]) ).

cnf(c_0_510,plain,
    cell92 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25845]) ).

cnf(c_0_511,plain,
    cell91 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof25754]) ).

cnf(c_0_512,plain,
    cell89 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26024]) ).

fof(c_0_513,plain,
    ! [X2,X1] :
      ( epred15_2(X1,X2)
    <=> ( epred14_2(X1,X2)
        | ( X2 = cell78
          & X1 = cell79 )
        | ( X2 = cell79
          & X1 = cell80 )
        | ( X2 = cell81
          & X1 = cell82 )
        | ( X2 = cell82
          & X1 = cell83 )
        | ( X2 = cell83
          & X1 = cell84 ) ) ),
    inference(apply_def,[status(thm)],[c_0_495,c_0_506]) ).

cnf(c_0_514,plain,
    ( X1 = cell89
    | X2 = cell87
    | X2 = cell86
    | X2 = cell85
    | X2 = cell84
    | epred15_2(X1,X2)
    | ~ epred16_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_515,plain,
    ( epred16_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_501,c_0_508]),c_0_233]),c_0_509]),c_0_510]),c_0_511]),c_0_512]) ).

fof(c_0_516,plain,
    ! [X2,X1] :
      ( epred13_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 )
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 ) ) ),
    introduced(definition) ).

fof(c_0_517,plain,
    ! [X37,X38] :
      ( ( X37 = cell83
        | X37 = cell82
        | X37 = cell81
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X37 = cell81
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X37 = cell81
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X37 = cell81
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X38 = cell82
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X38 = cell82
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X38 = cell82
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X38 = cell82
        | X37 = cell79
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X37 = cell81
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X37 = cell81
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X37 = cell81
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X37 = cell81
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X38 = cell82
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X38 = cell82
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X38 = cell82
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X38 = cell82
        | X38 = cell80
        | X37 = cell78
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X37 = cell81
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X37 = cell81
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X37 = cell81
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X37 = cell81
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X38 = cell82
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X38 = cell82
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X38 = cell82
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X38 = cell82
        | X37 = cell79
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X37 = cell81
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X37 = cell81
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X37 = cell81
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X37 = cell81
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X37 = cell82
        | X38 = cell82
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X37 = cell82
        | X38 = cell82
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X37 = cell83
        | X38 = cell83
        | X38 = cell82
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( X38 = cell84
        | X38 = cell83
        | X38 = cell82
        | X38 = cell80
        | X38 = cell79
        | epred14_2(X38,X37)
        | ~ epred15_2(X38,X37) )
      & ( ~ epred14_2(X38,X37)
        | epred15_2(X38,X37) )
      & ( X37 != cell78
        | X38 != cell79
        | epred15_2(X38,X37) )
      & ( X37 != cell79
        | X38 != cell80
        | epred15_2(X38,X37) )
      & ( X37 != cell81
        | X38 != cell82
        | epred15_2(X38,X37) )
      & ( X37 != cell82
        | X38 != cell83
        | epred15_2(X38,X37) )
      & ( X37 != cell83
        | X38 != cell84
        | epred15_2(X38,X37) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_513])])]) ).

cnf(c_0_518,plain,
    ( epred16_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_514,c_0_515]),c_0_512]),c_0_211]),c_0_212]),c_0_264]),c_0_226]) ).

cnf(c_0_519,plain,
    cell87 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26199]) ).

cnf(c_0_520,plain,
    cell86 != cell1,
    inference(split_conjunct,[status(thm)],[tlhfof26285]) ).

fof(c_0_521,plain,
    ! [X2,X1] :
      ( epred14_2(X1,X2)
    <=> ( epred13_2(X1,X2)
        | ( X2 = cell73
          & X1 = cell74 )
        | ( X2 = cell74
          & X1 = cell75 )
        | ( X2 = cell75
          & X1 = cell76 )
        | ( X2 = cell76
          & X1 = cell77 )
        | ( X2 = cell77
          & X1 = cell78 ) ) ),
    inference(apply_def,[status(thm)],[c_0_506,c_0_516]) ).

cnf(c_0_522,plain,
    ( X1 = cell84
    | X2 = cell82
    | X2 = cell81
    | X2 = cell79
    | X2 = cell78
    | epred14_2(X1,X2)
    | ~ epred15_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_523,plain,
    ( epred15_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_514,c_0_518]),c_0_209]),c_0_519]),c_0_520]),c_0_256]),c_0_234]) ).

fof(c_0_524,plain,
    ! [X2,X1] :
      ( epred12_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 )
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 ) ) ),
    introduced(definition) ).

fof(c_0_525,plain,
    ! [X35,X36] :
      ( ( X35 = cell77
        | X35 = cell76
        | X35 = cell75
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X35 = cell75
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X35 = cell75
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X35 = cell75
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X36 = cell76
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X36 = cell76
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X36 = cell76
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X36 = cell76
        | X35 = cell74
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X35 = cell75
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X35 = cell75
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X35 = cell75
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X35 = cell75
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X36 = cell76
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X36 = cell76
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X36 = cell76
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X36 = cell76
        | X36 = cell75
        | X35 = cell73
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X35 = cell75
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X35 = cell75
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X35 = cell75
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X35 = cell75
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X36 = cell76
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X36 = cell76
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X36 = cell76
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X36 = cell76
        | X35 = cell74
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X35 = cell75
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X35 = cell75
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X35 = cell75
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X35 = cell75
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X35 = cell76
        | X36 = cell76
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X35 = cell76
        | X36 = cell76
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X35 = cell77
        | X36 = cell77
        | X36 = cell76
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( X36 = cell78
        | X36 = cell77
        | X36 = cell76
        | X36 = cell75
        | X36 = cell74
        | epred13_2(X36,X35)
        | ~ epred14_2(X36,X35) )
      & ( ~ epred13_2(X36,X35)
        | epred14_2(X36,X35) )
      & ( X35 != cell73
        | X36 != cell74
        | epred14_2(X36,X35) )
      & ( X35 != cell74
        | X36 != cell75
        | epred14_2(X36,X35) )
      & ( X35 != cell75
        | X36 != cell76
        | epred14_2(X36,X35) )
      & ( X35 != cell76
        | X36 != cell77
        | epred14_2(X36,X35) )
      & ( X35 != cell77
        | X36 != cell78
        | epred14_2(X36,X35) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_521])])]) ).

cnf(c_0_526,plain,
    ( epred15_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_522,c_0_523]),c_0_234]),c_0_228]),c_0_229]),c_0_241]),c_0_242]) ).

fof(c_0_527,plain,
    ! [X2,X1] :
      ( epred13_2(X1,X2)
    <=> ( epred12_2(X1,X2)
        | ( X2 = cell67
          & X1 = cell68 )
        | ( X2 = cell68
          & X1 = cell69 )
        | ( X2 = cell69
          & X1 = cell70 )
        | ( X2 = cell71
          & X1 = cell72 )
        | ( X2 = cell72
          & X1 = cell73 ) ) ),
    inference(apply_def,[status(thm)],[c_0_516,c_0_524]) ).

cnf(c_0_528,plain,
    ( X1 = cell78
    | X2 = cell76
    | X2 = cell75
    | X2 = cell74
    | X2 = cell73
    | epred13_2(X1,X2)
    | ~ epred14_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_529,plain,
    ( epred14_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_522,c_0_526]),c_0_226]),c_0_236]),c_0_237]),c_0_249]),c_0_250]) ).

fof(c_0_530,plain,
    ! [X2,X1] :
      ( epred11_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 )
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 ) ) ),
    introduced(definition) ).

fof(c_0_531,plain,
    ! [X33,X34] :
      ( ( X33 = cell72
        | X33 = cell71
        | X33 = cell69
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X33 = cell69
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X33 = cell69
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X33 = cell69
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X34 = cell70
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X34 = cell70
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X34 = cell70
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X34 = cell70
        | X33 = cell68
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X33 = cell69
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X33 = cell69
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X33 = cell69
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X33 = cell69
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X34 = cell70
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X34 = cell70
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X34 = cell70
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X34 = cell70
        | X34 = cell69
        | X33 = cell67
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X33 = cell69
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X33 = cell69
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X33 = cell69
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X33 = cell69
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X34 = cell70
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X34 = cell70
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X34 = cell70
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X34 = cell70
        | X33 = cell68
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X33 = cell69
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X33 = cell69
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X33 = cell69
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X33 = cell69
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X33 = cell71
        | X34 = cell70
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X33 = cell71
        | X34 = cell70
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X33 = cell72
        | X34 = cell72
        | X34 = cell70
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( X34 = cell73
        | X34 = cell72
        | X34 = cell70
        | X34 = cell69
        | X34 = cell68
        | epred12_2(X34,X33)
        | ~ epred13_2(X34,X33) )
      & ( ~ epred12_2(X34,X33)
        | epred13_2(X34,X33) )
      & ( X33 != cell67
        | X34 != cell68
        | epred13_2(X34,X33) )
      & ( X33 != cell68
        | X34 != cell69
        | epred13_2(X34,X33) )
      & ( X33 != cell69
        | X34 != cell70
        | epred13_2(X34,X33) )
      & ( X33 != cell71
        | X34 != cell72
        | epred13_2(X34,X33) )
      & ( X33 != cell72
        | X34 != cell73
        | epred13_2(X34,X33) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_527])])]) ).

cnf(c_0_532,plain,
    ( epred14_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_528,c_0_529]),c_0_250]),c_0_244]),c_0_296]),c_0_257]),c_0_258]) ).

fof(c_0_533,plain,
    ! [X2,X1] :
      ( epred12_2(X1,X2)
    <=> ( epred11_2(X1,X2)
        | ( X2 = cell62
          & X1 = cell63 )
        | ( X2 = cell63
          & X1 = cell64 )
        | ( X2 = cell64
          & X1 = cell65 )
        | ( X2 = cell65
          & X1 = cell66 )
        | ( X2 = cell66
          & X1 = cell67 ) ) ),
    inference(apply_def,[status(thm)],[c_0_524,c_0_530]) ).

cnf(c_0_534,plain,
    ( X1 = cell73
    | X2 = cell71
    | X2 = cell69
    | X2 = cell68
    | X2 = cell67
    | epred12_2(X1,X2)
    | ~ epred13_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_535,plain,
    ( epred13_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_528,c_0_532]),c_0_242]),c_0_252]),c_0_288]),c_0_265]),c_0_266]) ).

fof(c_0_536,plain,
    ! [X2,X1] :
      ( epred10_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 )
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 ) ) ),
    introduced(definition) ).

fof(c_0_537,plain,
    ! [X31,X32] :
      ( ( X31 = cell66
        | X31 = cell65
        | X31 = cell64
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X31 = cell64
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X31 = cell64
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X31 = cell64
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X32 = cell65
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X32 = cell65
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X32 = cell65
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X32 = cell65
        | X31 = cell63
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X31 = cell64
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X31 = cell64
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X31 = cell64
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X31 = cell64
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X32 = cell65
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X32 = cell65
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X32 = cell65
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X32 = cell65
        | X32 = cell64
        | X31 = cell62
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X31 = cell64
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X31 = cell64
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X31 = cell64
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X31 = cell64
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X32 = cell65
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X32 = cell65
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X32 = cell65
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X32 = cell65
        | X31 = cell63
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X31 = cell64
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X31 = cell64
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X31 = cell64
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X31 = cell64
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X31 = cell65
        | X32 = cell65
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X31 = cell65
        | X32 = cell65
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X31 = cell66
        | X32 = cell66
        | X32 = cell65
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( X32 = cell67
        | X32 = cell66
        | X32 = cell65
        | X32 = cell64
        | X32 = cell63
        | epred11_2(X32,X31)
        | ~ epred12_2(X32,X31) )
      & ( ~ epred11_2(X32,X31)
        | epred12_2(X32,X31) )
      & ( X31 != cell62
        | X32 != cell63
        | epred12_2(X32,X31) )
      & ( X31 != cell63
        | X32 != cell64
        | epred12_2(X32,X31) )
      & ( X31 != cell64
        | X32 != cell65
        | epred12_2(X32,X31) )
      & ( X31 != cell65
        | X32 != cell66
        | epred12_2(X32,X31) )
      & ( X31 != cell66
        | X32 != cell67
        | epred12_2(X32,X31) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_533])])]) ).

cnf(c_0_538,plain,
    ( epred13_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_534,c_0_535]),c_0_266]),c_0_260]),c_0_273]),c_0_274]),c_0_275]) ).

fof(c_0_539,plain,
    ! [X2,X1] :
      ( epred11_2(X1,X2)
    <=> ( epred10_2(X1,X2)
        | ( X2 = cell56
          & X1 = cell57 )
        | ( X2 = cell57
          & X1 = cell58 )
        | ( X2 = cell58
          & X1 = cell59 )
        | ( X2 = cell59
          & X1 = cell60 )
        | ( X2 = cell61
          & X1 = cell62 ) ) ),
    inference(apply_def,[status(thm)],[c_0_530,c_0_536]) ).

cnf(c_0_540,plain,
    ( X1 = cell67
    | X2 = cell65
    | X2 = cell64
    | X2 = cell63
    | X2 = cell62
    | epred11_2(X1,X2)
    | ~ epred12_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_541,plain,
    ( epred12_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_534,c_0_538]),c_0_258]),c_0_268]),c_0_281]),c_0_282]),c_0_283]) ).

fof(c_0_542,plain,
    ! [X2,X1] :
      ( epred9_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 )
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 ) ) ),
    introduced(definition) ).

fof(c_0_543,plain,
    ! [X29,X30] :
      ( ( X29 = cell61
        | X29 = cell59
        | X29 = cell58
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X29 = cell58
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X29 = cell58
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X29 = cell58
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X30 = cell59
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X30 = cell59
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X30 = cell59
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X30 = cell59
        | X29 = cell57
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X29 = cell58
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X29 = cell58
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X29 = cell58
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X29 = cell58
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X30 = cell59
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X30 = cell59
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X30 = cell59
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X30 = cell59
        | X30 = cell58
        | X29 = cell56
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X29 = cell58
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X29 = cell58
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X29 = cell58
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X29 = cell58
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X30 = cell59
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X30 = cell59
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X30 = cell59
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X30 = cell59
        | X29 = cell57
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X29 = cell58
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X29 = cell58
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X29 = cell58
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X29 = cell58
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X29 = cell59
        | X30 = cell59
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X29 = cell59
        | X30 = cell59
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X29 = cell61
        | X30 = cell60
        | X30 = cell59
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( X30 = cell62
        | X30 = cell60
        | X30 = cell59
        | X30 = cell58
        | X30 = cell57
        | epred10_2(X30,X29)
        | ~ epred11_2(X30,X29) )
      & ( ~ epred10_2(X30,X29)
        | epred11_2(X30,X29) )
      & ( X29 != cell56
        | X30 != cell57
        | epred11_2(X30,X29) )
      & ( X29 != cell57
        | X30 != cell58
        | epred11_2(X30,X29) )
      & ( X29 != cell58
        | X30 != cell59
        | epred11_2(X30,X29) )
      & ( X29 != cell59
        | X30 != cell60
        | epred11_2(X30,X29) )
      & ( X29 != cell61
        | X30 != cell62
        | epred11_2(X30,X29) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_539])])]) ).

cnf(c_0_544,plain,
    ( epred12_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_540,c_0_541]),c_0_283]),c_0_328]),c_0_289]),c_0_290]),c_0_291]) ).

fof(c_0_545,plain,
    ! [X2,X1] :
      ( epred10_2(X1,X2)
    <=> ( epred9_2(X1,X2)
        | ( X2 = cell51
          & X1 = cell52 )
        | ( X2 = cell52
          & X1 = cell53 )
        | ( X2 = cell53
          & X1 = cell54 )
        | ( X2 = cell54
          & X1 = cell55 )
        | ( X2 = cell55
          & X1 = cell56 ) ) ),
    inference(apply_def,[status(thm)],[c_0_536,c_0_542]) ).

cnf(c_0_546,plain,
    ( X1 = cell62
    | X2 = cell59
    | X2 = cell58
    | X2 = cell57
    | X2 = cell56
    | epred10_2(X1,X2)
    | ~ epred11_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_547,plain,
    ( epred11_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_540,c_0_544]),c_0_275]),c_0_320]),c_0_297]),c_0_298]),c_0_299]) ).

fof(c_0_548,plain,
    ! [X2,X1] :
      ( epred8_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 )
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 ) ) ),
    introduced(definition) ).

fof(c_0_549,plain,
    ! [X27,X28] :
      ( ( X27 = cell55
        | X27 = cell54
        | X27 = cell53
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X27 = cell53
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X27 = cell53
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X27 = cell53
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X28 = cell54
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X28 = cell54
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X28 = cell54
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X28 = cell54
        | X27 = cell52
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X27 = cell53
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X27 = cell53
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X27 = cell53
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X27 = cell53
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X28 = cell54
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X28 = cell54
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X28 = cell54
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X28 = cell54
        | X28 = cell53
        | X27 = cell51
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X27 = cell53
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X27 = cell53
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X27 = cell53
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X27 = cell53
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X28 = cell54
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X28 = cell54
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X28 = cell54
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X28 = cell54
        | X27 = cell52
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X27 = cell53
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X27 = cell53
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X27 = cell53
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X27 = cell53
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X27 = cell54
        | X28 = cell54
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X27 = cell54
        | X28 = cell54
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X27 = cell55
        | X28 = cell55
        | X28 = cell54
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( X28 = cell56
        | X28 = cell55
        | X28 = cell54
        | X28 = cell53
        | X28 = cell52
        | epred9_2(X28,X27)
        | ~ epred10_2(X28,X27) )
      & ( ~ epred9_2(X28,X27)
        | epred10_2(X28,X27) )
      & ( X27 != cell51
        | X28 != cell52
        | epred10_2(X28,X27) )
      & ( X27 != cell52
        | X28 != cell53
        | epred10_2(X28,X27) )
      & ( X27 != cell53
        | X28 != cell54
        | epred10_2(X28,X27) )
      & ( X27 != cell54
        | X28 != cell55
        | epred10_2(X28,X27) )
      & ( X27 != cell55
        | X28 != cell56
        | epred10_2(X28,X27) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_545])])]) ).

cnf(c_0_550,plain,
    ( epred11_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_546,c_0_547]),c_0_299]),c_0_305]),c_0_306]),c_0_307]),c_0_308]) ).

fof(c_0_551,plain,
    ! [X2,X1] :
      ( epred9_2(X1,X2)
    <=> ( epred8_2(X1,X2)
        | ( X2 = cell45
          & X1 = cell46 )
        | ( X2 = cell46
          & X1 = cell47 )
        | ( X2 = cell47
          & X1 = cell48 )
        | ( X2 = cell48
          & X1 = cell49 )
        | ( X2 = cell49
          & X1 = cell50 ) ) ),
    inference(apply_def,[status(thm)],[c_0_542,c_0_548]) ).

cnf(c_0_552,plain,
    ( X1 = cell56
    | X2 = cell54
    | X2 = cell53
    | X2 = cell52
    | X2 = cell51
    | epred9_2(X1,X2)
    | ~ epred10_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_553,plain,
    ( epred10_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_546,c_0_550]),c_0_291]),c_0_313]),c_0_314]),c_0_315]),c_0_316]) ).

fof(c_0_554,plain,
    ! [X2,X1] :
      ( epred7_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 )
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 ) ) ),
    introduced(definition) ).

fof(c_0_555,plain,
    ! [X25,X26] :
      ( ( X25 = cell49
        | X25 = cell48
        | X25 = cell47
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X25 = cell47
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X25 = cell47
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X25 = cell47
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X26 = cell48
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X26 = cell48
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X26 = cell48
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X26 = cell48
        | X25 = cell46
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X25 = cell47
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X25 = cell47
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X25 = cell47
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X25 = cell47
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X26 = cell48
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X26 = cell48
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X26 = cell48
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X26 = cell48
        | X26 = cell47
        | X25 = cell45
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X25 = cell47
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X25 = cell47
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X25 = cell47
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X25 = cell47
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X26 = cell48
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X26 = cell48
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X26 = cell48
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X26 = cell48
        | X25 = cell46
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X25 = cell47
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X25 = cell47
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X25 = cell47
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X25 = cell47
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X25 = cell48
        | X26 = cell48
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X25 = cell48
        | X26 = cell48
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X25 = cell49
        | X26 = cell49
        | X26 = cell48
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( X26 = cell50
        | X26 = cell49
        | X26 = cell48
        | X26 = cell47
        | X26 = cell46
        | epred8_2(X26,X25)
        | ~ epred9_2(X26,X25) )
      & ( ~ epred8_2(X26,X25)
        | epred9_2(X26,X25) )
      & ( X25 != cell45
        | X26 != cell46
        | epred9_2(X26,X25) )
      & ( X25 != cell46
        | X26 != cell47
        | epred9_2(X26,X25) )
      & ( X25 != cell47
        | X26 != cell48
        | epred9_2(X26,X25) )
      & ( X25 != cell48
        | X26 != cell49
        | epred9_2(X26,X25) )
      & ( X25 != cell49
        | X26 != cell50
        | epred9_2(X26,X25) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_551])])]) ).

cnf(c_0_556,plain,
    ( epred10_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_552,c_0_553]),c_0_316]),c_0_321]),c_0_322]),c_0_323]),c_0_324]) ).

fof(c_0_557,plain,
    ! [X2,X1] :
      ( epred8_2(X1,X2)
    <=> ( epred7_2(X1,X2)
        | ( X2 = cell39
          & X1 = cell40 )
        | ( X2 = cell41
          & X1 = cell42 )
        | ( X2 = cell42
          & X1 = cell43 )
        | ( X2 = cell43
          & X1 = cell44 )
        | ( X2 = cell44
          & X1 = cell45 ) ) ),
    inference(apply_def,[status(thm)],[c_0_548,c_0_554]) ).

cnf(c_0_558,plain,
    ( X1 = cell50
    | X2 = cell48
    | X2 = cell47
    | X2 = cell46
    | X2 = cell45
    | epred8_2(X1,X2)
    | ~ epred9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_559,plain,
    ( epred9_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_552,c_0_556]),c_0_308]),c_0_329]),c_0_330]),c_0_331]),c_0_332]) ).

fof(c_0_560,plain,
    ! [X2,X1] :
      ( epred6_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 )
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 ) ) ),
    introduced(definition) ).

fof(c_0_561,plain,
    ! [X23,X24] :
      ( ( X23 = cell44
        | X23 = cell43
        | X23 = cell42
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X23 = cell42
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X23 = cell42
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X23 = cell42
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X24 = cell43
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X24 = cell43
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X24 = cell43
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X24 = cell43
        | X23 = cell41
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X23 = cell42
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X23 = cell42
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X23 = cell42
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X23 = cell42
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X24 = cell43
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X24 = cell43
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X24 = cell43
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X24 = cell43
        | X24 = cell42
        | X23 = cell39
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X23 = cell42
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X23 = cell42
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X23 = cell42
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X23 = cell42
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X24 = cell43
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X24 = cell43
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X24 = cell43
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X24 = cell43
        | X23 = cell41
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X23 = cell42
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X23 = cell42
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X23 = cell42
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X23 = cell42
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X23 = cell43
        | X24 = cell43
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X23 = cell43
        | X24 = cell43
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X23 = cell44
        | X24 = cell44
        | X24 = cell43
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( X24 = cell45
        | X24 = cell44
        | X24 = cell43
        | X24 = cell42
        | X24 = cell40
        | epred7_2(X24,X23)
        | ~ epred8_2(X24,X23) )
      & ( ~ epred7_2(X24,X23)
        | epred8_2(X24,X23) )
      & ( X23 != cell39
        | X24 != cell40
        | epred8_2(X24,X23) )
      & ( X23 != cell41
        | X24 != cell42
        | epred8_2(X24,X23) )
      & ( X23 != cell42
        | X24 != cell43
        | epred8_2(X24,X23) )
      & ( X23 != cell43
        | X24 != cell44
        | epred8_2(X24,X23) )
      & ( X23 != cell44
        | X24 != cell45
        | epred8_2(X24,X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_557])])]) ).

cnf(c_0_562,plain,
    ( epred9_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_558,c_0_559]),c_0_368]),c_0_338]),c_0_339]),c_0_340]),c_0_392]) ).

fof(c_0_563,plain,
    ! [X2,X1] :
      ( epred7_2(X1,X2)
    <=> ( epred6_2(X1,X2)
        | ( X2 = cell34
          & X1 = cell35 )
        | ( X2 = cell35
          & X1 = cell36 )
        | ( X2 = cell36
          & X1 = cell37 )
        | ( X2 = cell37
          & X1 = cell38 )
        | ( X2 = cell38
          & X1 = cell39 ) ) ),
    inference(apply_def,[status(thm)],[c_0_554,c_0_560]) ).

cnf(c_0_564,plain,
    ( X1 = cell45
    | X2 = cell43
    | X2 = cell42
    | X2 = cell41
    | X2 = cell39
    | epred7_2(X1,X2)
    | ~ epred8_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_565,plain,
    ( epred8_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_558,c_0_562]),c_0_376]),c_0_346]),c_0_347]),c_0_348]),c_0_384]) ).

fof(c_0_566,plain,
    ! [X2,X1] :
      ( epred5_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 )
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 ) ) ),
    introduced(definition) ).

fof(c_0_567,plain,
    ! [X21,X22] :
      ( ( X21 = cell38
        | X21 = cell37
        | X21 = cell36
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X21 = cell36
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X21 = cell36
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X21 = cell36
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X22 = cell37
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X22 = cell37
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X22 = cell37
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X22 = cell37
        | X21 = cell35
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X21 = cell36
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X21 = cell36
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X21 = cell36
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X21 = cell36
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X22 = cell37
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X22 = cell37
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X22 = cell37
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X22 = cell37
        | X22 = cell36
        | X21 = cell34
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X21 = cell36
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X21 = cell36
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X21 = cell36
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X21 = cell36
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X22 = cell37
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X22 = cell37
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X22 = cell37
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X22 = cell37
        | X21 = cell35
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X21 = cell36
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X21 = cell36
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X21 = cell36
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X21 = cell36
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X21 = cell37
        | X22 = cell37
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X21 = cell37
        | X22 = cell37
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X21 = cell38
        | X22 = cell38
        | X22 = cell37
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( X22 = cell39
        | X22 = cell38
        | X22 = cell37
        | X22 = cell36
        | X22 = cell35
        | epred6_2(X22,X21)
        | ~ epred7_2(X22,X21) )
      & ( ~ epred6_2(X22,X21)
        | epred7_2(X22,X21) )
      & ( X21 != cell34
        | X22 != cell35
        | epred7_2(X22,X21) )
      & ( X21 != cell35
        | X22 != cell36
        | epred7_2(X22,X21) )
      & ( X21 != cell36
        | X22 != cell37
        | epred7_2(X22,X21) )
      & ( X21 != cell37
        | X22 != cell38
        | epred7_2(X22,X21) )
      & ( X21 != cell38
        | X22 != cell39
        | epred7_2(X22,X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_563])])]) ).

cnf(c_0_568,plain,
    ( epred8_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_564,c_0_565]),c_0_384]),c_0_354]),c_0_355]),c_0_356]),c_0_369]) ).

fof(c_0_569,plain,
    ! [X2,X1] :
      ( epred6_2(X1,X2)
    <=> ( epred5_2(X1,X2)
        | ( X2 = cell28
          & X1 = cell29 )
        | ( X2 = cell29
          & X1 = cell30 )
        | ( X2 = cell31
          & X1 = cell32 )
        | ( X2 = cell32
          & X1 = cell33 )
        | ( X2 = cell33
          & X1 = cell34 ) ) ),
    inference(apply_def,[status(thm)],[c_0_560,c_0_566]) ).

cnf(c_0_570,plain,
    ( X1 = cell39
    | X2 = cell37
    | X2 = cell36
    | X2 = cell35
    | X2 = cell34
    | epred6_2(X1,X2)
    | ~ epred7_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_571,plain,
    ( epred7_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_564,c_0_568]),c_0_392]),c_0_362]),c_0_363]),c_0_364]),c_0_377]) ).

fof(c_0_572,plain,
    ! [X2,X1] :
      ( epred4_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 )
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 ) ) ),
    introduced(definition) ).

fof(c_0_573,plain,
    ! [X19,X20] :
      ( ( X19 = cell33
        | X19 = cell32
        | X19 = cell31
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X19 = cell31
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X19 = cell31
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X19 = cell31
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X20 = cell32
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X20 = cell32
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X20 = cell32
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X20 = cell32
        | X19 = cell29
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X19 = cell31
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X19 = cell31
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X19 = cell31
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X19 = cell31
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X20 = cell32
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X20 = cell32
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X20 = cell32
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X20 = cell32
        | X20 = cell30
        | X19 = cell28
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X19 = cell31
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X19 = cell31
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X19 = cell31
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X19 = cell31
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X20 = cell32
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X20 = cell32
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X20 = cell32
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X20 = cell32
        | X19 = cell29
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X19 = cell31
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X19 = cell31
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X19 = cell31
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X19 = cell31
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X19 = cell32
        | X20 = cell32
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X19 = cell32
        | X20 = cell32
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X19 = cell33
        | X20 = cell33
        | X20 = cell32
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( X20 = cell34
        | X20 = cell33
        | X20 = cell32
        | X20 = cell30
        | X20 = cell29
        | epred5_2(X20,X19)
        | ~ epred6_2(X20,X19) )
      & ( ~ epred5_2(X20,X19)
        | epred6_2(X20,X19) )
      & ( X19 != cell28
        | X20 != cell29
        | epred6_2(X20,X19) )
      & ( X19 != cell29
        | X20 != cell30
        | epred6_2(X20,X19) )
      & ( X19 != cell31
        | X20 != cell32
        | epred6_2(X20,X19) )
      & ( X19 != cell32
        | X20 != cell33
        | epred6_2(X20,X19) )
      & ( X19 != cell33
        | X20 != cell34
        | epred6_2(X20,X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_569])])]) ).

cnf(c_0_574,plain,
    ( epred7_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_570,c_0_571]),c_0_377]),c_0_371]),c_0_372]),c_0_424]),c_0_385]) ).

fof(c_0_575,plain,
    ! [X2,X1] :
      ( epred5_2(X1,X2)
    <=> ( epred4_2(X1,X2)
        | ( X2 = cell23
          & X1 = cell24 )
        | ( X2 = cell24
          & X1 = cell25 )
        | ( X2 = cell25
          & X1 = cell26 )
        | ( X2 = cell26
          & X1 = cell27 )
        | ( X2 = cell27
          & X1 = cell28 ) ) ),
    inference(apply_def,[status(thm)],[c_0_566,c_0_572]) ).

cnf(c_0_576,plain,
    ( X1 = cell34
    | X2 = cell32
    | X2 = cell31
    | X2 = cell29
    | X2 = cell28
    | epred5_2(X1,X2)
    | ~ epred6_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_577,plain,
    ( epred6_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_570,c_0_574]),c_0_369]),c_0_379]),c_0_380]),c_0_416]),c_0_393]) ).

fof(c_0_578,plain,
    ! [X2,X1] :
      ( epred3_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 )
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 ) ) ),
    introduced(definition) ).

fof(c_0_579,plain,
    ! [X17,X18] :
      ( ( X17 = cell27
        | X17 = cell26
        | X17 = cell25
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X17 = cell25
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X17 = cell25
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X17 = cell25
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X18 = cell26
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X18 = cell26
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X18 = cell26
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X18 = cell26
        | X17 = cell24
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X17 = cell25
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X17 = cell25
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X17 = cell25
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X17 = cell25
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X18 = cell26
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X18 = cell26
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X18 = cell26
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X18 = cell26
        | X18 = cell25
        | X17 = cell23
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X17 = cell25
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X17 = cell25
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X17 = cell25
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X17 = cell25
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X18 = cell26
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X18 = cell26
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X18 = cell26
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X18 = cell26
        | X17 = cell24
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X17 = cell25
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X17 = cell25
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X17 = cell25
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X17 = cell25
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X17 = cell26
        | X18 = cell26
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X17 = cell26
        | X18 = cell26
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X17 = cell27
        | X18 = cell27
        | X18 = cell26
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( X18 = cell28
        | X18 = cell27
        | X18 = cell26
        | X18 = cell25
        | X18 = cell24
        | epred4_2(X18,X17)
        | ~ epred5_2(X18,X17) )
      & ( ~ epred4_2(X18,X17)
        | epred5_2(X18,X17) )
      & ( X17 != cell23
        | X18 != cell24
        | epred5_2(X18,X17) )
      & ( X17 != cell24
        | X18 != cell25
        | epred5_2(X18,X17) )
      & ( X17 != cell25
        | X18 != cell26
        | epred5_2(X18,X17) )
      & ( X17 != cell26
        | X18 != cell27
        | epred5_2(X18,X17) )
      & ( X17 != cell27
        | X18 != cell28
        | epred5_2(X18,X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_575])])]) ).

cnf(c_0_580,plain,
    ( epred6_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_576,c_0_577]),c_0_393]),c_0_387]),c_0_388]),c_0_401]),c_0_402]) ).

fof(c_0_581,plain,
    ! [X2,X1] :
      ( epred4_2(X1,X2)
    <=> ( epred3_2(X1,X2)
        | ( X2 = cell17
          & X1 = cell18 )
        | ( X2 = cell18
          & X1 = cell19 )
        | ( X2 = cell19
          & X1 = cell20 )
        | ( X2 = cell21
          & X1 = cell22 )
        | ( X2 = cell22
          & X1 = cell23 ) ) ),
    inference(apply_def,[status(thm)],[c_0_572,c_0_578]) ).

cnf(c_0_582,plain,
    ( X1 = cell28
    | X2 = cell26
    | X2 = cell25
    | X2 = cell24
    | X2 = cell23
    | epred4_2(X1,X2)
    | ~ epred5_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_583,plain,
    ( epred5_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_576,c_0_580]),c_0_385]),c_0_395]),c_0_396]),c_0_409]),c_0_410]) ).

fof(c_0_584,plain,
    ! [X2,X1] :
      ( epred2_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 )
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 ) ) ),
    introduced(definition) ).

fof(c_0_585,plain,
    ! [X15,X16] :
      ( ( X15 = cell22
        | X15 = cell21
        | X15 = cell19
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X15 = cell19
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X15 = cell19
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X15 = cell19
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X16 = cell20
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X16 = cell20
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X16 = cell20
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X16 = cell20
        | X15 = cell18
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X15 = cell19
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X15 = cell19
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X15 = cell19
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X15 = cell19
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X16 = cell20
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X16 = cell20
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X16 = cell20
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X16 = cell20
        | X16 = cell19
        | X15 = cell17
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X15 = cell19
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X15 = cell19
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X15 = cell19
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X15 = cell19
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X16 = cell20
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X16 = cell20
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X16 = cell20
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X16 = cell20
        | X15 = cell18
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X15 = cell19
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X15 = cell19
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X15 = cell19
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X15 = cell19
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X15 = cell21
        | X16 = cell20
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X15 = cell21
        | X16 = cell20
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X15 = cell22
        | X16 = cell22
        | X16 = cell20
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( X16 = cell23
        | X16 = cell22
        | X16 = cell20
        | X16 = cell19
        | X16 = cell18
        | epred3_2(X16,X15)
        | ~ epred4_2(X16,X15) )
      & ( ~ epred3_2(X16,X15)
        | epred4_2(X16,X15) )
      & ( X15 != cell17
        | X16 != cell18
        | epred4_2(X16,X15) )
      & ( X15 != cell18
        | X16 != cell19
        | epred4_2(X16,X15) )
      & ( X15 != cell19
        | X16 != cell20
        | epred4_2(X16,X15) )
      & ( X15 != cell21
        | X16 != cell22
        | epred4_2(X16,X15) )
      & ( X15 != cell22
        | X16 != cell23
        | epred4_2(X16,X15) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_581])])]) ).

cnf(c_0_586,plain,
    ( epred5_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_582,c_0_583]),c_0_410]),c_0_404]),c_0_456]),c_0_417]),c_0_418]) ).

fof(c_0_587,plain,
    ! [X2,X1] :
      ( epred3_2(X1,X2)
    <=> ( epred2_2(X1,X2)
        | ( X2 = cell12
          & X1 = cell13 )
        | ( X2 = cell13
          & X1 = cell14 )
        | ( X2 = cell14
          & X1 = cell15 )
        | ( X2 = cell15
          & X1 = cell16 )
        | ( X2 = cell16
          & X1 = cell17 ) ) ),
    inference(apply_def,[status(thm)],[c_0_578,c_0_584]) ).

cnf(c_0_588,plain,
    ( X1 = cell23
    | X2 = cell21
    | X2 = cell19
    | X2 = cell18
    | X2 = cell17
    | epred3_2(X1,X2)
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_589,plain,
    ( epred4_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_582,c_0_586]),c_0_402]),c_0_412]),c_0_448]),c_0_425]),c_0_426]) ).

fof(c_0_590,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( ( X2 = cell1
          & X1 = cell2 )
        | ( X2 = cell2
          & X1 = cell3 )
        | ( X2 = cell3
          & X1 = cell4 )
        | ( X2 = cell4
          & X1 = cell5 )
        | ( X2 = cell5
          & X1 = cell6 ) ) ),
    introduced(definition) ).

fof(c_0_591,plain,
    ! [X13,X14] :
      ( ( X13 = cell16
        | X13 = cell15
        | X13 = cell14
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X13 = cell14
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X13 = cell14
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X13 = cell14
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X14 = cell15
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X14 = cell15
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X14 = cell15
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X14 = cell15
        | X13 = cell13
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X13 = cell14
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X13 = cell14
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X13 = cell14
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X13 = cell14
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X14 = cell15
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X14 = cell15
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X14 = cell15
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X14 = cell15
        | X14 = cell14
        | X13 = cell12
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X13 = cell14
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X13 = cell14
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X13 = cell14
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X13 = cell14
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X14 = cell15
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X14 = cell15
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X14 = cell15
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X14 = cell15
        | X13 = cell13
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X13 = cell14
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X13 = cell14
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X13 = cell14
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X13 = cell14
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X13 = cell15
        | X14 = cell15
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X13 = cell15
        | X14 = cell15
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X13 = cell16
        | X14 = cell16
        | X14 = cell15
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( X14 = cell17
        | X14 = cell16
        | X14 = cell15
        | X14 = cell14
        | X14 = cell13
        | epred2_2(X14,X13)
        | ~ epred3_2(X14,X13) )
      & ( ~ epred2_2(X14,X13)
        | epred3_2(X14,X13) )
      & ( X13 != cell12
        | X14 != cell13
        | epred3_2(X14,X13) )
      & ( X13 != cell13
        | X14 != cell14
        | epred3_2(X14,X13) )
      & ( X13 != cell14
        | X14 != cell15
        | epred3_2(X14,X13) )
      & ( X13 != cell15
        | X14 != cell16
        | epred3_2(X14,X13) )
      & ( X13 != cell16
        | X14 != cell17
        | epred3_2(X14,X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_587])])]) ).

cnf(c_0_592,plain,
    ( epred4_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_588,c_0_589]),c_0_426]),c_0_420]),c_0_433]),c_0_434]),c_0_435]) ).

fof(c_0_593,plain,
    ! [X2,X1] :
      ( epred2_2(X1,X2)
    <=> ( epred1_2(X1,X2)
        | ( X2 = cell6
          & X1 = cell7 )
        | ( X2 = cell7
          & X1 = cell8 )
        | ( X2 = cell8
          & X1 = cell9 )
        | ( X2 = cell9
          & X1 = cell10 )
        | ( X2 = cell11
          & X1 = cell12 ) ) ),
    inference(apply_def,[status(thm)],[c_0_584,c_0_590]) ).

cnf(c_0_594,plain,
    ( X1 = cell17
    | X2 = cell15
    | X2 = cell14
    | X2 = cell13
    | X2 = cell12
    | epred2_2(X1,X2)
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_595,plain,
    ( epred3_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_588,c_0_592]),c_0_418]),c_0_428]),c_0_441]),c_0_442]),c_0_443]) ).

fof(c_0_596,plain,
    ! [X11,X12] :
      ( ( X11 = cell11
        | X11 = cell9
        | X11 = cell8
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X11 = cell8
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X11 = cell8
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X11 = cell8
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X12 = cell9
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X12 = cell9
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X12 = cell9
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X12 = cell9
        | X11 = cell7
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X11 = cell8
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X11 = cell8
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X11 = cell8
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X11 = cell8
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X12 = cell9
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X12 = cell9
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X12 = cell9
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X12 = cell9
        | X12 = cell8
        | X11 = cell6
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X11 = cell8
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X11 = cell8
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X11 = cell8
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X11 = cell8
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X12 = cell9
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X12 = cell9
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X12 = cell9
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X12 = cell9
        | X11 = cell7
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X11 = cell8
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X11 = cell8
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X11 = cell8
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X11 = cell8
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X11 = cell9
        | X12 = cell9
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X11 = cell9
        | X12 = cell9
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X11 = cell11
        | X12 = cell10
        | X12 = cell9
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( X12 = cell12
        | X12 = cell10
        | X12 = cell9
        | X12 = cell8
        | X12 = cell7
        | epred1_2(X12,X11)
        | ~ epred2_2(X12,X11) )
      & ( ~ epred1_2(X12,X11)
        | epred2_2(X12,X11) )
      & ( X11 != cell6
        | X12 != cell7
        | epred2_2(X12,X11) )
      & ( X11 != cell7
        | X12 != cell8
        | epred2_2(X12,X11) )
      & ( X11 != cell8
        | X12 != cell9
        | epred2_2(X12,X11) )
      & ( X11 != cell9
        | X12 != cell10
        | epred2_2(X12,X11) )
      & ( X11 != cell11
        | X12 != cell12
        | epred2_2(X12,X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_593])])]) ).

cnf(c_0_597,plain,
    ( epred3_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_594,c_0_595]),c_0_443]),c_0_488]),c_0_449]),c_0_450]),c_0_451]) ).

fof(c_0_598,plain,
    ! [X9,X10] :
      ( ( X9 = cell5
        | X9 = cell4
        | X9 = cell3
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X9 = cell3
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X9 = cell3
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X9 = cell3
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X10 = cell4
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X10 = cell4
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X10 = cell4
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X10 = cell4
        | X9 = cell2
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X9 = cell3
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X9 = cell3
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X9 = cell3
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X9 = cell3
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X10 = cell4
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X10 = cell4
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X10 = cell4
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X10 = cell4
        | X10 = cell3
        | X9 = cell1
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X9 = cell3
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X9 = cell3
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X9 = cell3
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X9 = cell3
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X10 = cell4
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X10 = cell4
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X10 = cell4
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X10 = cell4
        | X9 = cell2
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X9 = cell3
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X9 = cell3
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X9 = cell3
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X9 = cell3
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X9 = cell4
        | X10 = cell4
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X9 = cell4
        | X10 = cell4
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 = cell5
        | X10 = cell5
        | X10 = cell4
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X10 = cell6
        | X10 = cell5
        | X10 = cell4
        | X10 = cell3
        | X10 = cell2
        | ~ epred1_2(X10,X9) )
      & ( X9 != cell1
        | X10 != cell2
        | epred1_2(X10,X9) )
      & ( X9 != cell2
        | X10 != cell3
        | epred1_2(X10,X9) )
      & ( X9 != cell3
        | X10 != cell4
        | epred1_2(X10,X9) )
      & ( X9 != cell4
        | X10 != cell5
        | epred1_2(X10,X9) )
      & ( X9 != cell5
        | X10 != cell6
        | epred1_2(X10,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_590])])]) ).

cnf(c_0_599,plain,
    ( X1 = cell12
    | X2 = cell9
    | X2 = cell8
    | X2 = cell7
    | X2 = cell6
    | epred1_2(X1,X2)
    | ~ epred2_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_600,plain,
    ( epred2_2(cell1,cell100)
    | 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(spm,[status(thm)],[c_0_594,c_0_597]),c_0_435]),c_0_480]),c_0_457]),c_0_458]),c_0_459]) ).

cnf(c_0_601,plain,
    ( X1 = cell6
    | X2 = cell4
    | X2 = cell3
    | X2 = cell2
    | X2 = cell1
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_602,plain,
    ( epred2_2(cell100,cell1)
    | epred1_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_600]),c_0_459]),c_0_465]),c_0_466]),c_0_467]),c_0_468]) ).

cnf(c_0_603,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(spm,[status(thm)],[c_0_601,c_0_602]),c_0_476]),c_0_481]),c_0_482]),c_0_483]),c_0_208]) ).

cnf(c_0_604,plain,
    ( X1 = cell6
    | X2 = cell4
    | X2 = cell3
    | X2 = cell2
    | X1 = cell2
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_605,plain,
    epred1_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_603]),c_0_451]),c_0_473]),c_0_474]),c_0_475]),c_0_476]) ).

cnf(c_0_606,plain,
    $false,
    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_604,c_0_605]),c_0_468]),c_0_483]),c_0_489]),c_0_490]),c_0_491]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ074+1 : TPTP v8.1.0. Released v3.5.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 00:19:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.51  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.51  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.51  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.77/3.04  # ENIGMATIC: Solved by autoschedule:
% 10.77/3.04  # No SInE strategy applied
% 10.77/3.04  # Trying AutoSched0 for 150 seconds
% 10.77/3.04  # AutoSched0-Mode selected heuristic G_____0012_C18_F1_SE_CS_SP_S5PRR_RG_S04AN
% 10.77/3.04  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.77/3.04  #
% 10.77/3.04  # Preprocessing time       : 0.069 s
% 10.77/3.04  
% 10.77/3.04  # Proof found!
% 10.77/3.04  # SZS status Theorem
% 10.77/3.04  # SZS output start CNFRefutation
% See solution above
% 10.77/3.04  # Training examples: 0 positive, 0 negative
% 10.77/3.04  
% 10.77/3.04  # -------------------------------------------------
% 10.77/3.04  # User time                : 0.397 s
% 10.77/3.04  # System time              : 0.013 s
% 10.77/3.04  # Total time               : 0.410 s
% 10.77/3.04  # Maximum resident set size: 7120 pages
% 10.77/3.04  
%------------------------------------------------------------------------------