TSTP Solution File: PUZ075+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ075+1 : TPTP v5.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:55:58 EST 2010
% Result : Theorem 1.98s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 39
% Syntax : Number of formulae : 258 ( 41 unt; 0 def)
% Number of atoms : 17449 (14512 equ)
% Maximal formula atoms : 361 ( 67 avg)
% Number of connectives : 19557 (2366 ~;11418 |;5699 &)
% ( 74 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 25 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 : 434 ( 0 sgn 362 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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('/tmp/tmp_BmFzl/sel_PUZ075+1.p_1',tlhfof24987) ).
fof(2,conjecture,
adj(cell12,cell13),
file('/tmp/tmp_BmFzl/sel_PUZ075+1.p_1',tlhfof24989) ).
fof(3,axiom,
! [X3,X4] :
( adj(X4,X3)
<=> ( edge(X4,X3)
| edge(X3,X4) ) ),
file('/tmp/tmp_BmFzl/sel_PUZ075+1.p_1',tlhfof24988) ).
fof(4,negated_conjecture,
~ adj(cell12,cell13),
inference(assume_negation,[status(cth)],[2]) ).
fof(5,negated_conjecture,
~ adj(cell12,cell13),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(6,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(7,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(8,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(9,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(10,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(11,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(12,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(13,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(14,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(15,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(16,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(17,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(18,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(19,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(20,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(21,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(22,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(23,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(24,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(25,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(26,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(27,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(28,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(29,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(30,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(31,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(32,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(33,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(34,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(35,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(36,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(37,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(38,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(39,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(40,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(41,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(42,plain,
! [X1,X2] :
( edge(X2,X1)
<=> epred36_2(X1,X2) ),
inference(apply_def,[status(esa)],[1,41,theory(equality)]) ).
fof(43,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(esa)],[7,6,theory(equality)]) ).
fof(44,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(esa)],[8,43,theory(equality)]) ).
fof(45,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(esa)],[9,44,theory(equality)]) ).
fof(46,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(esa)],[10,45,theory(equality)]) ).
fof(47,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(esa)],[11,46,theory(equality)]) ).
fof(48,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(esa)],[12,47,theory(equality)]) ).
fof(49,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(esa)],[13,48,theory(equality)]) ).
fof(50,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(esa)],[14,49,theory(equality)]) ).
fof(51,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(esa)],[15,50,theory(equality)]) ).
fof(52,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(esa)],[16,51,theory(equality)]) ).
fof(53,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(esa)],[17,52,theory(equality)]) ).
fof(54,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(esa)],[18,53,theory(equality)]) ).
fof(55,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(esa)],[19,54,theory(equality)]) ).
fof(56,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(esa)],[20,55,theory(equality)]) ).
fof(57,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(esa)],[21,56,theory(equality)]) ).
fof(58,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(esa)],[22,57,theory(equality)]) ).
fof(59,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(esa)],[23,58,theory(equality)]) ).
fof(60,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(esa)],[24,59,theory(equality)]) ).
fof(61,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(esa)],[25,60,theory(equality)]) ).
fof(62,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(esa)],[26,61,theory(equality)]) ).
fof(63,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(esa)],[27,62,theory(equality)]) ).
fof(64,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(esa)],[28,63,theory(equality)]) ).
fof(65,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(esa)],[29,64,theory(equality)]) ).
fof(66,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(esa)],[30,65,theory(equality)]) ).
fof(67,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(esa)],[31,66,theory(equality)]) ).
fof(68,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(esa)],[32,67,theory(equality)]) ).
fof(69,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(esa)],[33,68,theory(equality)]) ).
fof(70,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(esa)],[34,69,theory(equality)]) ).
fof(71,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(esa)],[35,70,theory(equality)]) ).
fof(72,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(esa)],[36,71,theory(equality)]) ).
fof(73,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(esa)],[37,72,theory(equality)]) ).
fof(74,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(esa)],[38,73,theory(equality)]) ).
fof(75,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(esa)],[39,74,theory(equality)]) ).
fof(76,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(esa)],[40,75,theory(equality)]) ).
fof(77,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(esa)],[41,76,theory(equality)]) ).
fof(78,plain,
! [X1,X2] :
( ( ~ edge(X2,X1)
| epred36_2(X1,X2) )
& ( ~ epred36_2(X1,X2)
| edge(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(79,plain,
! [X3,X4] :
( ( ~ edge(X4,X3)
| epred36_2(X3,X4) )
& ( ~ epred36_2(X3,X4)
| edge(X4,X3) ) ),
inference(variable_rename,[status(thm)],[78]) ).
cnf(80,plain,
( edge(X1,X2)
| ~ epred36_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(82,negated_conjecture,
~ adj(cell12,cell13),
inference(split_conjunct,[status(thm)],[5]) ).
fof(83,plain,
! [X3,X4] :
( ( ~ adj(X4,X3)
| edge(X4,X3)
| edge(X3,X4) )
& ( ( ~ edge(X4,X3)
& ~ edge(X3,X4) )
| adj(X4,X3) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(84,plain,
! [X5,X6] :
( ( ~ adj(X6,X5)
| edge(X6,X5)
| edge(X5,X6) )
& ( ( ~ edge(X6,X5)
& ~ edge(X5,X6) )
| adj(X6,X5) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X5,X6] :
( ( ~ adj(X6,X5)
| edge(X6,X5)
| edge(X5,X6) )
& ( ~ edge(X6,X5)
| adj(X6,X5) )
& ( ~ edge(X5,X6)
| adj(X6,X5) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(87,plain,
( adj(X1,X2)
| ~ edge(X1,X2) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(170,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 ) )
& ( ( ~ epred2_2(X1,X2)
& ( X2 != cell12
| X1 != cell13 )
& ( X2 != cell13
| X1 != cell14 )
& ( X2 != cell14
| X1 != cell15 )
& ( X2 != cell15
| X1 != cell16 )
& ( X2 != cell16
| X1 != cell17 ) )
| epred3_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(171,plain,
! [X3,X4] :
( ( ~ epred3_2(X4,X3)
| epred2_2(X4,X3)
| ( X3 = cell12
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell17 ) )
& ( ( ~ epred2_2(X4,X3)
& ( X3 != cell12
| X4 != cell13 )
& ( X3 != cell13
| X4 != cell14 )
& ( X3 != cell14
| X4 != cell15 )
& ( X3 != cell15
| X4 != cell16 )
& ( X3 != cell16
| X4 != cell17 ) )
| epred3_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[170]) ).
fof(172,plain,
! [X3,X4] :
( ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( ~ epred2_2(X4,X3)
| epred3_2(X4,X3) )
& ( X3 != cell12
| X4 != cell13
| epred3_2(X4,X3) )
& ( X3 != cell13
| X4 != cell14
| epred3_2(X4,X3) )
& ( X3 != cell14
| X4 != cell15
| epred3_2(X4,X3) )
& ( X3 != cell15
| X4 != cell16
| epred3_2(X4,X3) )
& ( X3 != cell16
| X4 != cell17
| epred3_2(X4,X3) ) ),
inference(distribute,[status(thm)],[171]) ).
cnf(177,plain,
( epred3_2(X1,X2)
| X1 != cell13
| X2 != cell12 ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(211,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 ) )
& ( ( ~ epred3_2(X1,X2)
& ( X2 != cell17
| X1 != cell18 )
& ( X2 != cell18
| X1 != cell19 )
& ( X2 != cell19
| X1 != cell20 )
& ( X2 != cell21
| X1 != cell22 )
& ( X2 != cell22
| X1 != cell23 ) )
| epred4_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(212,plain,
! [X3,X4] :
( ( ~ epred4_2(X4,X3)
| epred3_2(X4,X3)
| ( X3 = cell17
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell20 )
| ( X3 = cell21
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell23 ) )
& ( ( ~ epred3_2(X4,X3)
& ( X3 != cell17
| X4 != cell18 )
& ( X3 != cell18
| X4 != cell19 )
& ( X3 != cell19
| X4 != cell20 )
& ( X3 != cell21
| X4 != cell22 )
& ( X3 != cell22
| X4 != cell23 ) )
| epred4_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[211]) ).
fof(213,plain,
! [X3,X4] :
( ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( ~ epred3_2(X4,X3)
| epred4_2(X4,X3) )
& ( X3 != cell17
| X4 != cell18
| epred4_2(X4,X3) )
& ( X3 != cell18
| X4 != cell19
| epred4_2(X4,X3) )
& ( X3 != cell19
| X4 != cell20
| epred4_2(X4,X3) )
& ( X3 != cell21
| X4 != cell22
| epred4_2(X4,X3) )
& ( X3 != cell22
| X4 != cell23
| epred4_2(X4,X3) ) ),
inference(distribute,[status(thm)],[212]) ).
cnf(219,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[213]) ).
fof(252,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 ) )
& ( ( ~ epred4_2(X1,X2)
& ( X2 != cell23
| X1 != cell24 )
& ( X2 != cell24
| X1 != cell25 )
& ( X2 != cell25
| X1 != cell26 )
& ( X2 != cell26
| X1 != cell27 )
& ( X2 != cell27
| X1 != cell28 ) )
| epred5_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(253,plain,
! [X3,X4] :
( ( ~ epred5_2(X4,X3)
| epred4_2(X4,X3)
| ( X3 = cell23
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell28 ) )
& ( ( ~ epred4_2(X4,X3)
& ( X3 != cell23
| X4 != cell24 )
& ( X3 != cell24
| X4 != cell25 )
& ( X3 != cell25
| X4 != cell26 )
& ( X3 != cell26
| X4 != cell27 )
& ( X3 != cell27
| X4 != cell28 ) )
| epred5_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[252]) ).
fof(254,plain,
! [X3,X4] :
( ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( ~ epred4_2(X4,X3)
| epred5_2(X4,X3) )
& ( X3 != cell23
| X4 != cell24
| epred5_2(X4,X3) )
& ( X3 != cell24
| X4 != cell25
| epred5_2(X4,X3) )
& ( X3 != cell25
| X4 != cell26
| epred5_2(X4,X3) )
& ( X3 != cell26
| X4 != cell27
| epred5_2(X4,X3) )
& ( X3 != cell27
| X4 != cell28
| epred5_2(X4,X3) ) ),
inference(distribute,[status(thm)],[253]) ).
cnf(260,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[254]) ).
fof(293,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 ) )
& ( ( ~ epred5_2(X1,X2)
& ( X2 != cell28
| X1 != cell29 )
& ( X2 != cell29
| X1 != cell30 )
& ( X2 != cell31
| X1 != cell32 )
& ( X2 != cell32
| X1 != cell33 )
& ( X2 != cell33
| X1 != cell34 ) )
| epred6_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(294,plain,
! [X3,X4] :
( ( ~ epred6_2(X4,X3)
| epred5_2(X4,X3)
| ( X3 = cell28
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell30 )
| ( X3 = cell31
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell34 ) )
& ( ( ~ epred5_2(X4,X3)
& ( X3 != cell28
| X4 != cell29 )
& ( X3 != cell29
| X4 != cell30 )
& ( X3 != cell31
| X4 != cell32 )
& ( X3 != cell32
| X4 != cell33 )
& ( X3 != cell33
| X4 != cell34 ) )
| epred6_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[293]) ).
fof(295,plain,
! [X3,X4] :
( ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( ~ epred5_2(X4,X3)
| epred6_2(X4,X3) )
& ( X3 != cell28
| X4 != cell29
| epred6_2(X4,X3) )
& ( X3 != cell29
| X4 != cell30
| epred6_2(X4,X3) )
& ( X3 != cell31
| X4 != cell32
| epred6_2(X4,X3) )
& ( X3 != cell32
| X4 != cell33
| epred6_2(X4,X3) )
& ( X3 != cell33
| X4 != cell34
| epred6_2(X4,X3) ) ),
inference(distribute,[status(thm)],[294]) ).
cnf(301,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(334,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 ) )
& ( ( ~ epred6_2(X1,X2)
& ( X2 != cell34
| X1 != cell35 )
& ( X2 != cell35
| X1 != cell36 )
& ( X2 != cell36
| X1 != cell37 )
& ( X2 != cell37
| X1 != cell38 )
& ( X2 != cell38
| X1 != cell39 ) )
| epred7_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(335,plain,
! [X3,X4] :
( ( ~ epred7_2(X4,X3)
| epred6_2(X4,X3)
| ( X3 = cell34
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell39 ) )
& ( ( ~ epred6_2(X4,X3)
& ( X3 != cell34
| X4 != cell35 )
& ( X3 != cell35
| X4 != cell36 )
& ( X3 != cell36
| X4 != cell37 )
& ( X3 != cell37
| X4 != cell38 )
& ( X3 != cell38
| X4 != cell39 ) )
| epred7_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[334]) ).
fof(336,plain,
! [X3,X4] :
( ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( ~ epred6_2(X4,X3)
| epred7_2(X4,X3) )
& ( X3 != cell34
| X4 != cell35
| epred7_2(X4,X3) )
& ( X3 != cell35
| X4 != cell36
| epred7_2(X4,X3) )
& ( X3 != cell36
| X4 != cell37
| epred7_2(X4,X3) )
& ( X3 != cell37
| X4 != cell38
| epred7_2(X4,X3) )
& ( X3 != cell38
| X4 != cell39
| epred7_2(X4,X3) ) ),
inference(distribute,[status(thm)],[335]) ).
cnf(342,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[336]) ).
fof(375,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 ) )
& ( ( ~ epred7_2(X1,X2)
& ( X2 != cell39
| X1 != cell40 )
& ( X2 != cell41
| X1 != cell42 )
& ( X2 != cell42
| X1 != cell43 )
& ( X2 != cell43
| X1 != cell44 )
& ( X2 != cell44
| X1 != cell45 ) )
| epred8_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(376,plain,
! [X3,X4] :
( ( ~ epred8_2(X4,X3)
| epred7_2(X4,X3)
| ( X3 = cell39
& X4 = cell40 )
| ( X3 = cell41
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell45 ) )
& ( ( ~ epred7_2(X4,X3)
& ( X3 != cell39
| X4 != cell40 )
& ( X3 != cell41
| X4 != cell42 )
& ( X3 != cell42
| X4 != cell43 )
& ( X3 != cell43
| X4 != cell44 )
& ( X3 != cell44
| X4 != cell45 ) )
| epred8_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[375]) ).
fof(377,plain,
! [X3,X4] :
( ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( ~ epred7_2(X4,X3)
| epred8_2(X4,X3) )
& ( X3 != cell39
| X4 != cell40
| epred8_2(X4,X3) )
& ( X3 != cell41
| X4 != cell42
| epred8_2(X4,X3) )
& ( X3 != cell42
| X4 != cell43
| epred8_2(X4,X3) )
& ( X3 != cell43
| X4 != cell44
| epred8_2(X4,X3) )
& ( X3 != cell44
| X4 != cell45
| epred8_2(X4,X3) ) ),
inference(distribute,[status(thm)],[376]) ).
cnf(383,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[377]) ).
fof(416,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 ) )
& ( ( ~ epred8_2(X1,X2)
& ( X2 != cell45
| X1 != cell46 )
& ( X2 != cell46
| X1 != cell47 )
& ( X2 != cell47
| X1 != cell48 )
& ( X2 != cell48
| X1 != cell49 )
& ( X2 != cell49
| X1 != cell50 ) )
| epred9_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(417,plain,
! [X3,X4] :
( ( ~ epred9_2(X4,X3)
| epred8_2(X4,X3)
| ( X3 = cell45
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell50 ) )
& ( ( ~ epred8_2(X4,X3)
& ( X3 != cell45
| X4 != cell46 )
& ( X3 != cell46
| X4 != cell47 )
& ( X3 != cell47
| X4 != cell48 )
& ( X3 != cell48
| X4 != cell49 )
& ( X3 != cell49
| X4 != cell50 ) )
| epred9_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[416]) ).
fof(418,plain,
! [X3,X4] :
( ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( ~ epred8_2(X4,X3)
| epred9_2(X4,X3) )
& ( X3 != cell45
| X4 != cell46
| epred9_2(X4,X3) )
& ( X3 != cell46
| X4 != cell47
| epred9_2(X4,X3) )
& ( X3 != cell47
| X4 != cell48
| epred9_2(X4,X3) )
& ( X3 != cell48
| X4 != cell49
| epred9_2(X4,X3) )
& ( X3 != cell49
| X4 != cell50
| epred9_2(X4,X3) ) ),
inference(distribute,[status(thm)],[417]) ).
cnf(424,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[418]) ).
fof(457,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 ) )
& ( ( ~ epred9_2(X1,X2)
& ( X2 != cell51
| X1 != cell52 )
& ( X2 != cell52
| X1 != cell53 )
& ( X2 != cell53
| X1 != cell54 )
& ( X2 != cell54
| X1 != cell55 )
& ( X2 != cell55
| X1 != cell56 ) )
| epred10_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(458,plain,
! [X3,X4] :
( ( ~ epred10_2(X4,X3)
| epred9_2(X4,X3)
| ( X3 = cell51
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell56 ) )
& ( ( ~ epred9_2(X4,X3)
& ( X3 != cell51
| X4 != cell52 )
& ( X3 != cell52
| X4 != cell53 )
& ( X3 != cell53
| X4 != cell54 )
& ( X3 != cell54
| X4 != cell55 )
& ( X3 != cell55
| X4 != cell56 ) )
| epred10_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[457]) ).
fof(459,plain,
! [X3,X4] :
( ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( ~ epred9_2(X4,X3)
| epred10_2(X4,X3) )
& ( X3 != cell51
| X4 != cell52
| epred10_2(X4,X3) )
& ( X3 != cell52
| X4 != cell53
| epred10_2(X4,X3) )
& ( X3 != cell53
| X4 != cell54
| epred10_2(X4,X3) )
& ( X3 != cell54
| X4 != cell55
| epred10_2(X4,X3) )
& ( X3 != cell55
| X4 != cell56
| epred10_2(X4,X3) ) ),
inference(distribute,[status(thm)],[458]) ).
cnf(465,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[459]) ).
fof(498,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 ) )
& ( ( ~ epred10_2(X1,X2)
& ( X2 != cell56
| X1 != cell57 )
& ( X2 != cell57
| X1 != cell58 )
& ( X2 != cell58
| X1 != cell59 )
& ( X2 != cell59
| X1 != cell60 )
& ( X2 != cell61
| X1 != cell62 ) )
| epred11_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(499,plain,
! [X3,X4] :
( ( ~ epred11_2(X4,X3)
| epred10_2(X4,X3)
| ( X3 = cell56
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell60 )
| ( X3 = cell61
& X4 = cell62 ) )
& ( ( ~ epred10_2(X4,X3)
& ( X3 != cell56
| X4 != cell57 )
& ( X3 != cell57
| X4 != cell58 )
& ( X3 != cell58
| X4 != cell59 )
& ( X3 != cell59
| X4 != cell60 )
& ( X3 != cell61
| X4 != cell62 ) )
| epred11_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[498]) ).
fof(500,plain,
! [X3,X4] :
( ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( ~ epred10_2(X4,X3)
| epred11_2(X4,X3) )
& ( X3 != cell56
| X4 != cell57
| epred11_2(X4,X3) )
& ( X3 != cell57
| X4 != cell58
| epred11_2(X4,X3) )
& ( X3 != cell58
| X4 != cell59
| epred11_2(X4,X3) )
& ( X3 != cell59
| X4 != cell60
| epred11_2(X4,X3) )
& ( X3 != cell61
| X4 != cell62
| epred11_2(X4,X3) ) ),
inference(distribute,[status(thm)],[499]) ).
cnf(506,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[500]) ).
fof(539,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 ) )
& ( ( ~ epred11_2(X1,X2)
& ( X2 != cell62
| X1 != cell63 )
& ( X2 != cell63
| X1 != cell64 )
& ( X2 != cell64
| X1 != cell65 )
& ( X2 != cell65
| X1 != cell66 )
& ( X2 != cell66
| X1 != cell67 ) )
| epred12_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(540,plain,
! [X3,X4] :
( ( ~ epred12_2(X4,X3)
| epred11_2(X4,X3)
| ( X3 = cell62
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell67 ) )
& ( ( ~ epred11_2(X4,X3)
& ( X3 != cell62
| X4 != cell63 )
& ( X3 != cell63
| X4 != cell64 )
& ( X3 != cell64
| X4 != cell65 )
& ( X3 != cell65
| X4 != cell66 )
& ( X3 != cell66
| X4 != cell67 ) )
| epred12_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[539]) ).
fof(541,plain,
! [X3,X4] :
( ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( ~ epred11_2(X4,X3)
| epred12_2(X4,X3) )
& ( X3 != cell62
| X4 != cell63
| epred12_2(X4,X3) )
& ( X3 != cell63
| X4 != cell64
| epred12_2(X4,X3) )
& ( X3 != cell64
| X4 != cell65
| epred12_2(X4,X3) )
& ( X3 != cell65
| X4 != cell66
| epred12_2(X4,X3) )
& ( X3 != cell66
| X4 != cell67
| epred12_2(X4,X3) ) ),
inference(distribute,[status(thm)],[540]) ).
cnf(547,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[541]) ).
fof(580,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 ) )
& ( ( ~ epred12_2(X1,X2)
& ( X2 != cell67
| X1 != cell68 )
& ( X2 != cell68
| X1 != cell69 )
& ( X2 != cell69
| X1 != cell70 )
& ( X2 != cell71
| X1 != cell72 )
& ( X2 != cell72
| X1 != cell73 ) )
| epred13_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(581,plain,
! [X3,X4] :
( ( ~ epred13_2(X4,X3)
| epred12_2(X4,X3)
| ( X3 = cell67
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell70 )
| ( X3 = cell71
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell73 ) )
& ( ( ~ epred12_2(X4,X3)
& ( X3 != cell67
| X4 != cell68 )
& ( X3 != cell68
| X4 != cell69 )
& ( X3 != cell69
| X4 != cell70 )
& ( X3 != cell71
| X4 != cell72 )
& ( X3 != cell72
| X4 != cell73 ) )
| epred13_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[580]) ).
fof(582,plain,
! [X3,X4] :
( ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( ~ epred12_2(X4,X3)
| epred13_2(X4,X3) )
& ( X3 != cell67
| X4 != cell68
| epred13_2(X4,X3) )
& ( X3 != cell68
| X4 != cell69
| epred13_2(X4,X3) )
& ( X3 != cell69
| X4 != cell70
| epred13_2(X4,X3) )
& ( X3 != cell71
| X4 != cell72
| epred13_2(X4,X3) )
& ( X3 != cell72
| X4 != cell73
| epred13_2(X4,X3) ) ),
inference(distribute,[status(thm)],[581]) ).
cnf(588,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[582]) ).
fof(621,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 ) )
& ( ( ~ epred13_2(X1,X2)
& ( X2 != cell73
| X1 != cell74 )
& ( X2 != cell74
| X1 != cell75 )
& ( X2 != cell75
| X1 != cell76 )
& ( X2 != cell76
| X1 != cell77 )
& ( X2 != cell77
| X1 != cell78 ) )
| epred14_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(622,plain,
! [X3,X4] :
( ( ~ epred14_2(X4,X3)
| epred13_2(X4,X3)
| ( X3 = cell73
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell78 ) )
& ( ( ~ epred13_2(X4,X3)
& ( X3 != cell73
| X4 != cell74 )
& ( X3 != cell74
| X4 != cell75 )
& ( X3 != cell75
| X4 != cell76 )
& ( X3 != cell76
| X4 != cell77 )
& ( X3 != cell77
| X4 != cell78 ) )
| epred14_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[621]) ).
fof(623,plain,
! [X3,X4] :
( ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( ~ epred13_2(X4,X3)
| epred14_2(X4,X3) )
& ( X3 != cell73
| X4 != cell74
| epred14_2(X4,X3) )
& ( X3 != cell74
| X4 != cell75
| epred14_2(X4,X3) )
& ( X3 != cell75
| X4 != cell76
| epred14_2(X4,X3) )
& ( X3 != cell76
| X4 != cell77
| epred14_2(X4,X3) )
& ( X3 != cell77
| X4 != cell78
| epred14_2(X4,X3) ) ),
inference(distribute,[status(thm)],[622]) ).
cnf(629,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[623]) ).
fof(662,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 ) )
& ( ( ~ epred14_2(X1,X2)
& ( X2 != cell78
| X1 != cell79 )
& ( X2 != cell79
| X1 != cell80 )
& ( X2 != cell81
| X1 != cell82 )
& ( X2 != cell82
| X1 != cell83 )
& ( X2 != cell83
| X1 != cell84 ) )
| epred15_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(663,plain,
! [X3,X4] :
( ( ~ epred15_2(X4,X3)
| epred14_2(X4,X3)
| ( X3 = cell78
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell80 )
| ( X3 = cell81
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell84 ) )
& ( ( ~ epred14_2(X4,X3)
& ( X3 != cell78
| X4 != cell79 )
& ( X3 != cell79
| X4 != cell80 )
& ( X3 != cell81
| X4 != cell82 )
& ( X3 != cell82
| X4 != cell83 )
& ( X3 != cell83
| X4 != cell84 ) )
| epred15_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[662]) ).
fof(664,plain,
! [X3,X4] :
( ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( ~ epred14_2(X4,X3)
| epred15_2(X4,X3) )
& ( X3 != cell78
| X4 != cell79
| epred15_2(X4,X3) )
& ( X3 != cell79
| X4 != cell80
| epred15_2(X4,X3) )
& ( X3 != cell81
| X4 != cell82
| epred15_2(X4,X3) )
& ( X3 != cell82
| X4 != cell83
| epred15_2(X4,X3) )
& ( X3 != cell83
| X4 != cell84
| epred15_2(X4,X3) ) ),
inference(distribute,[status(thm)],[663]) ).
cnf(670,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[664]) ).
fof(703,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 ) )
& ( ( ~ epred15_2(X1,X2)
& ( X2 != cell84
| X1 != cell85 )
& ( X2 != cell85
| X1 != cell86 )
& ( X2 != cell86
| X1 != cell87 )
& ( X2 != cell87
| X1 != cell88 )
& ( X2 != cell88
| X1 != cell89 ) )
| epred16_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(704,plain,
! [X3,X4] :
( ( ~ epred16_2(X4,X3)
| epred15_2(X4,X3)
| ( X3 = cell84
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell89 ) )
& ( ( ~ epred15_2(X4,X3)
& ( X3 != cell84
| X4 != cell85 )
& ( X3 != cell85
| X4 != cell86 )
& ( X3 != cell86
| X4 != cell87 )
& ( X3 != cell87
| X4 != cell88 )
& ( X3 != cell88
| X4 != cell89 ) )
| epred16_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[703]) ).
fof(705,plain,
! [X3,X4] :
( ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( ~ epred15_2(X4,X3)
| epred16_2(X4,X3) )
& ( X3 != cell84
| X4 != cell85
| epred16_2(X4,X3) )
& ( X3 != cell85
| X4 != cell86
| epred16_2(X4,X3) )
& ( X3 != cell86
| X4 != cell87
| epred16_2(X4,X3) )
& ( X3 != cell87
| X4 != cell88
| epred16_2(X4,X3) )
& ( X3 != cell88
| X4 != cell89
| epred16_2(X4,X3) ) ),
inference(distribute,[status(thm)],[704]) ).
cnf(711,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[705]) ).
fof(744,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 ) )
& ( ( ~ epred16_2(X1,X2)
& ( X2 != cell89
| X1 != cell90 )
& ( X2 != cell91
| X1 != cell92 )
& ( X2 != cell92
| X1 != cell93 )
& ( X2 != cell93
| X1 != cell94 )
& ( X2 != cell94
| X1 != cell95 ) )
| epred17_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(745,plain,
! [X3,X4] :
( ( ~ epred17_2(X4,X3)
| epred16_2(X4,X3)
| ( X3 = cell89
& X4 = cell90 )
| ( X3 = cell91
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell95 ) )
& ( ( ~ epred16_2(X4,X3)
& ( X3 != cell89
| X4 != cell90 )
& ( X3 != cell91
| X4 != cell92 )
& ( X3 != cell92
| X4 != cell93 )
& ( X3 != cell93
| X4 != cell94 )
& ( X3 != cell94
| X4 != cell95 ) )
| epred17_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[744]) ).
fof(746,plain,
! [X3,X4] :
( ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( ~ epred16_2(X4,X3)
| epred17_2(X4,X3) )
& ( X3 != cell89
| X4 != cell90
| epred17_2(X4,X3) )
& ( X3 != cell91
| X4 != cell92
| epred17_2(X4,X3) )
& ( X3 != cell92
| X4 != cell93
| epred17_2(X4,X3) )
& ( X3 != cell93
| X4 != cell94
| epred17_2(X4,X3) )
& ( X3 != cell94
| X4 != cell95
| epred17_2(X4,X3) ) ),
inference(distribute,[status(thm)],[745]) ).
cnf(752,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[746]) ).
fof(785,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 ) )
& ( ( ~ epred17_2(X1,X2)
& ( X2 != cell95
| X1 != cell96 )
& ( X2 != cell96
| X1 != cell97 )
& ( X2 != cell97
| X1 != cell98 )
& ( X2 != cell98
| X1 != cell99 )
& ( X2 != cell99
| X1 != cell100 ) )
| epred18_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(786,plain,
! [X3,X4] :
( ( ~ epred18_2(X4,X3)
| epred17_2(X4,X3)
| ( X3 = cell95
& X4 = cell96 )
| ( X3 = cell96
& X4 = cell97 )
| ( X3 = cell97
& X4 = cell98 )
| ( X3 = cell98
& X4 = cell99 )
| ( X3 = cell99
& X4 = cell100 ) )
& ( ( ~ epred17_2(X4,X3)
& ( X3 != cell95
| X4 != cell96 )
& ( X3 != cell96
| X4 != cell97 )
& ( X3 != cell97
| X4 != cell98 )
& ( X3 != cell98
| X4 != cell99 )
& ( X3 != cell99
| X4 != cell100 ) )
| epred18_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[785]) ).
fof(787,plain,
! [X3,X4] :
( ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( ~ epred17_2(X4,X3)
| epred18_2(X4,X3) )
& ( X3 != cell95
| X4 != cell96
| epred18_2(X4,X3) )
& ( X3 != cell96
| X4 != cell97
| epred18_2(X4,X3) )
& ( X3 != cell97
| X4 != cell98
| epred18_2(X4,X3) )
& ( X3 != cell98
| X4 != cell99
| epred18_2(X4,X3) )
& ( X3 != cell99
| X4 != cell100
| epred18_2(X4,X3) ) ),
inference(distribute,[status(thm)],[786]) ).
cnf(793,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[787]) ).
fof(826,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 ) )
& ( ( ~ epred18_2(X1,X2)
& ( X2 != cell1
| X1 != cell11 )
& ( X2 != cell2
| X1 != cell12 )
& ( X2 != cell3
| X1 != cell13 )
& ( X2 != cell4
| X1 != cell14 )
& ( X2 != cell5
| X1 != cell15 ) )
| epred19_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(827,plain,
! [X3,X4] :
( ( ~ epred19_2(X4,X3)
| epred18_2(X4,X3)
| ( X3 = cell1
& X4 = cell11 )
| ( X3 = cell2
& X4 = cell12 )
| ( X3 = cell3
& X4 = cell13 )
| ( X3 = cell4
& X4 = cell14 )
| ( X3 = cell5
& X4 = cell15 ) )
& ( ( ~ epred18_2(X4,X3)
& ( X3 != cell1
| X4 != cell11 )
& ( X3 != cell2
| X4 != cell12 )
& ( X3 != cell3
| X4 != cell13 )
& ( X3 != cell4
| X4 != cell14 )
& ( X3 != cell5
| X4 != cell15 ) )
| epred19_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[826]) ).
fof(828,plain,
! [X3,X4] :
( ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( ~ epred18_2(X4,X3)
| epred19_2(X4,X3) )
& ( X3 != cell1
| X4 != cell11
| epred19_2(X4,X3) )
& ( X3 != cell2
| X4 != cell12
| epred19_2(X4,X3) )
& ( X3 != cell3
| X4 != cell13
| epred19_2(X4,X3) )
& ( X3 != cell4
| X4 != cell14
| epred19_2(X4,X3) )
& ( X3 != cell5
| X4 != cell15
| epred19_2(X4,X3) ) ),
inference(distribute,[status(thm)],[827]) ).
cnf(834,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[828]) ).
fof(867,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 ) )
& ( ( ~ epred19_2(X1,X2)
& ( X2 != cell6
| X1 != cell16 )
& ( X2 != cell7
| X1 != cell17 )
& ( X2 != cell8
| X1 != cell18 )
& ( X2 != cell9
| X1 != cell19 )
& ( X2 != cell10
| X1 != cell20 ) )
| epred20_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(868,plain,
! [X3,X4] :
( ( ~ epred20_2(X4,X3)
| epred19_2(X4,X3)
| ( X3 = cell6
& X4 = cell16 )
| ( X3 = cell7
& X4 = cell17 )
| ( X3 = cell8
& X4 = cell18 )
| ( X3 = cell9
& X4 = cell19 )
| ( X3 = cell10
& X4 = cell20 ) )
& ( ( ~ epred19_2(X4,X3)
& ( X3 != cell6
| X4 != cell16 )
& ( X3 != cell7
| X4 != cell17 )
& ( X3 != cell8
| X4 != cell18 )
& ( X3 != cell9
| X4 != cell19 )
& ( X3 != cell10
| X4 != cell20 ) )
| epred20_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[867]) ).
fof(869,plain,
! [X3,X4] :
( ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( ~ epred19_2(X4,X3)
| epred20_2(X4,X3) )
& ( X3 != cell6
| X4 != cell16
| epred20_2(X4,X3) )
& ( X3 != cell7
| X4 != cell17
| epred20_2(X4,X3) )
& ( X3 != cell8
| X4 != cell18
| epred20_2(X4,X3) )
& ( X3 != cell9
| X4 != cell19
| epred20_2(X4,X3) )
& ( X3 != cell10
| X4 != cell20
| epred20_2(X4,X3) ) ),
inference(distribute,[status(thm)],[868]) ).
cnf(875,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[869]) ).
fof(908,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 ) )
& ( ( ~ epred20_2(X1,X2)
& ( X2 != cell11
| X1 != cell21 )
& ( X2 != cell12
| X1 != cell22 )
& ( X2 != cell13
| X1 != cell23 )
& ( X2 != cell14
| X1 != cell24 )
& ( X2 != cell15
| X1 != cell25 ) )
| epred21_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(909,plain,
! [X3,X4] :
( ( ~ epred21_2(X4,X3)
| epred20_2(X4,X3)
| ( X3 = cell11
& X4 = cell21 )
| ( X3 = cell12
& X4 = cell22 )
| ( X3 = cell13
& X4 = cell23 )
| ( X3 = cell14
& X4 = cell24 )
| ( X3 = cell15
& X4 = cell25 ) )
& ( ( ~ epred20_2(X4,X3)
& ( X3 != cell11
| X4 != cell21 )
& ( X3 != cell12
| X4 != cell22 )
& ( X3 != cell13
| X4 != cell23 )
& ( X3 != cell14
| X4 != cell24 )
& ( X3 != cell15
| X4 != cell25 ) )
| epred21_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[908]) ).
fof(910,plain,
! [X3,X4] :
( ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( ~ epred20_2(X4,X3)
| epred21_2(X4,X3) )
& ( X3 != cell11
| X4 != cell21
| epred21_2(X4,X3) )
& ( X3 != cell12
| X4 != cell22
| epred21_2(X4,X3) )
& ( X3 != cell13
| X4 != cell23
| epred21_2(X4,X3) )
& ( X3 != cell14
| X4 != cell24
| epred21_2(X4,X3) )
& ( X3 != cell15
| X4 != cell25
| epred21_2(X4,X3) ) ),
inference(distribute,[status(thm)],[909]) ).
cnf(916,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[910]) ).
fof(949,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 ) )
& ( ( ~ epred21_2(X1,X2)
& ( X2 != cell16
| X1 != cell26 )
& ( X2 != cell17
| X1 != cell27 )
& ( X2 != cell18
| X1 != cell28 )
& ( X2 != cell19
| X1 != cell29 )
& ( X2 != cell20
| X1 != cell30 ) )
| epred22_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(950,plain,
! [X3,X4] :
( ( ~ epred22_2(X4,X3)
| epred21_2(X4,X3)
| ( X3 = cell16
& X4 = cell26 )
| ( X3 = cell17
& X4 = cell27 )
| ( X3 = cell18
& X4 = cell28 )
| ( X3 = cell19
& X4 = cell29 )
| ( X3 = cell20
& X4 = cell30 ) )
& ( ( ~ epred21_2(X4,X3)
& ( X3 != cell16
| X4 != cell26 )
& ( X3 != cell17
| X4 != cell27 )
& ( X3 != cell18
| X4 != cell28 )
& ( X3 != cell19
| X4 != cell29 )
& ( X3 != cell20
| X4 != cell30 ) )
| epred22_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[949]) ).
fof(951,plain,
! [X3,X4] :
( ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( ~ epred21_2(X4,X3)
| epred22_2(X4,X3) )
& ( X3 != cell16
| X4 != cell26
| epred22_2(X4,X3) )
& ( X3 != cell17
| X4 != cell27
| epred22_2(X4,X3) )
& ( X3 != cell18
| X4 != cell28
| epred22_2(X4,X3) )
& ( X3 != cell19
| X4 != cell29
| epred22_2(X4,X3) )
& ( X3 != cell20
| X4 != cell30
| epred22_2(X4,X3) ) ),
inference(distribute,[status(thm)],[950]) ).
cnf(957,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[951]) ).
fof(990,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 ) )
& ( ( ~ epred22_2(X1,X2)
& ( X2 != cell21
| X1 != cell31 )
& ( X2 != cell22
| X1 != cell32 )
& ( X2 != cell23
| X1 != cell33 )
& ( X2 != cell24
| X1 != cell34 )
& ( X2 != cell25
| X1 != cell35 ) )
| epred23_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(991,plain,
! [X3,X4] :
( ( ~ epred23_2(X4,X3)
| epred22_2(X4,X3)
| ( X3 = cell21
& X4 = cell31 )
| ( X3 = cell22
& X4 = cell32 )
| ( X3 = cell23
& X4 = cell33 )
| ( X3 = cell24
& X4 = cell34 )
| ( X3 = cell25
& X4 = cell35 ) )
& ( ( ~ epred22_2(X4,X3)
& ( X3 != cell21
| X4 != cell31 )
& ( X3 != cell22
| X4 != cell32 )
& ( X3 != cell23
| X4 != cell33 )
& ( X3 != cell24
| X4 != cell34 )
& ( X3 != cell25
| X4 != cell35 ) )
| epred23_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[990]) ).
fof(992,plain,
! [X3,X4] :
( ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( ~ epred22_2(X4,X3)
| epred23_2(X4,X3) )
& ( X3 != cell21
| X4 != cell31
| epred23_2(X4,X3) )
& ( X3 != cell22
| X4 != cell32
| epred23_2(X4,X3) )
& ( X3 != cell23
| X4 != cell33
| epred23_2(X4,X3) )
& ( X3 != cell24
| X4 != cell34
| epred23_2(X4,X3) )
& ( X3 != cell25
| X4 != cell35
| epred23_2(X4,X3) ) ),
inference(distribute,[status(thm)],[991]) ).
cnf(998,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[992]) ).
fof(1031,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 ) )
& ( ( ~ epred23_2(X1,X2)
& ( X2 != cell26
| X1 != cell36 )
& ( X2 != cell27
| X1 != cell37 )
& ( X2 != cell28
| X1 != cell38 )
& ( X2 != cell29
| X1 != cell39 )
& ( X2 != cell30
| X1 != cell40 ) )
| epred24_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(1032,plain,
! [X3,X4] :
( ( ~ epred24_2(X4,X3)
| epred23_2(X4,X3)
| ( X3 = cell26
& X4 = cell36 )
| ( X3 = cell27
& X4 = cell37 )
| ( X3 = cell28
& X4 = cell38 )
| ( X3 = cell29
& X4 = cell39 )
| ( X3 = cell30
& X4 = cell40 ) )
& ( ( ~ epred23_2(X4,X3)
& ( X3 != cell26
| X4 != cell36 )
& ( X3 != cell27
| X4 != cell37 )
& ( X3 != cell28
| X4 != cell38 )
& ( X3 != cell29
| X4 != cell39 )
& ( X3 != cell30
| X4 != cell40 ) )
| epred24_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1031]) ).
fof(1033,plain,
! [X3,X4] :
( ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( ~ epred23_2(X4,X3)
| epred24_2(X4,X3) )
& ( X3 != cell26
| X4 != cell36
| epred24_2(X4,X3) )
& ( X3 != cell27
| X4 != cell37
| epred24_2(X4,X3) )
& ( X3 != cell28
| X4 != cell38
| epred24_2(X4,X3) )
& ( X3 != cell29
| X4 != cell39
| epred24_2(X4,X3) )
& ( X3 != cell30
| X4 != cell40
| epred24_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1032]) ).
cnf(1039,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1033]) ).
fof(1072,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 ) )
& ( ( ~ epred24_2(X1,X2)
& ( X2 != cell31
| X1 != cell41 )
& ( X2 != cell32
| X1 != cell42 )
& ( X2 != cell33
| X1 != cell43 )
& ( X2 != cell34
| X1 != cell44 )
& ( X2 != cell35
| X1 != cell45 ) )
| epred25_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(1073,plain,
! [X3,X4] :
( ( ~ epred25_2(X4,X3)
| epred24_2(X4,X3)
| ( X3 = cell31
& X4 = cell41 )
| ( X3 = cell32
& X4 = cell42 )
| ( X3 = cell33
& X4 = cell43 )
| ( X3 = cell34
& X4 = cell44 )
| ( X3 = cell35
& X4 = cell45 ) )
& ( ( ~ epred24_2(X4,X3)
& ( X3 != cell31
| X4 != cell41 )
& ( X3 != cell32
| X4 != cell42 )
& ( X3 != cell33
| X4 != cell43 )
& ( X3 != cell34
| X4 != cell44 )
& ( X3 != cell35
| X4 != cell45 ) )
| epred25_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1072]) ).
fof(1074,plain,
! [X3,X4] :
( ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( ~ epred24_2(X4,X3)
| epred25_2(X4,X3) )
& ( X3 != cell31
| X4 != cell41
| epred25_2(X4,X3) )
& ( X3 != cell32
| X4 != cell42
| epred25_2(X4,X3) )
& ( X3 != cell33
| X4 != cell43
| epred25_2(X4,X3) )
& ( X3 != cell34
| X4 != cell44
| epred25_2(X4,X3) )
& ( X3 != cell35
| X4 != cell45
| epred25_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1073]) ).
cnf(1080,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1074]) ).
fof(1113,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 ) )
& ( ( ~ epred25_2(X1,X2)
& ( X2 != cell36
| X1 != cell46 )
& ( X2 != cell37
| X1 != cell47 )
& ( X2 != cell38
| X1 != cell48 )
& ( X2 != cell39
| X1 != cell49 )
& ( X2 != cell40
| X1 != cell50 ) )
| epred26_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(1114,plain,
! [X3,X4] :
( ( ~ epred26_2(X4,X3)
| epred25_2(X4,X3)
| ( X3 = cell36
& X4 = cell46 )
| ( X3 = cell37
& X4 = cell47 )
| ( X3 = cell38
& X4 = cell48 )
| ( X3 = cell39
& X4 = cell49 )
| ( X3 = cell40
& X4 = cell50 ) )
& ( ( ~ epred25_2(X4,X3)
& ( X3 != cell36
| X4 != cell46 )
& ( X3 != cell37
| X4 != cell47 )
& ( X3 != cell38
| X4 != cell48 )
& ( X3 != cell39
| X4 != cell49 )
& ( X3 != cell40
| X4 != cell50 ) )
| epred26_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1113]) ).
fof(1115,plain,
! [X3,X4] :
( ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( ~ epred25_2(X4,X3)
| epred26_2(X4,X3) )
& ( X3 != cell36
| X4 != cell46
| epred26_2(X4,X3) )
& ( X3 != cell37
| X4 != cell47
| epred26_2(X4,X3) )
& ( X3 != cell38
| X4 != cell48
| epred26_2(X4,X3) )
& ( X3 != cell39
| X4 != cell49
| epred26_2(X4,X3) )
& ( X3 != cell40
| X4 != cell50
| epred26_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1114]) ).
cnf(1121,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1115]) ).
fof(1154,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 ) )
& ( ( ~ epred26_2(X1,X2)
& ( X2 != cell41
| X1 != cell51 )
& ( X2 != cell42
| X1 != cell52 )
& ( X2 != cell43
| X1 != cell53 )
& ( X2 != cell44
| X1 != cell54 )
& ( X2 != cell45
| X1 != cell55 ) )
| epred27_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(1155,plain,
! [X3,X4] :
( ( ~ epred27_2(X4,X3)
| epred26_2(X4,X3)
| ( X3 = cell41
& X4 = cell51 )
| ( X3 = cell42
& X4 = cell52 )
| ( X3 = cell43
& X4 = cell53 )
| ( X3 = cell44
& X4 = cell54 )
| ( X3 = cell45
& X4 = cell55 ) )
& ( ( ~ epred26_2(X4,X3)
& ( X3 != cell41
| X4 != cell51 )
& ( X3 != cell42
| X4 != cell52 )
& ( X3 != cell43
| X4 != cell53 )
& ( X3 != cell44
| X4 != cell54 )
& ( X3 != cell45
| X4 != cell55 ) )
| epred27_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1154]) ).
fof(1156,plain,
! [X3,X4] :
( ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( ~ epred26_2(X4,X3)
| epred27_2(X4,X3) )
& ( X3 != cell41
| X4 != cell51
| epred27_2(X4,X3) )
& ( X3 != cell42
| X4 != cell52
| epred27_2(X4,X3) )
& ( X3 != cell43
| X4 != cell53
| epred27_2(X4,X3) )
& ( X3 != cell44
| X4 != cell54
| epred27_2(X4,X3) )
& ( X3 != cell45
| X4 != cell55
| epred27_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1155]) ).
cnf(1162,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1156]) ).
fof(1195,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 ) )
& ( ( ~ epred27_2(X1,X2)
& ( X2 != cell46
| X1 != cell56 )
& ( X2 != cell47
| X1 != cell57 )
& ( X2 != cell48
| X1 != cell58 )
& ( X2 != cell49
| X1 != cell59 )
& ( X2 != cell50
| X1 != cell60 ) )
| epred28_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(1196,plain,
! [X3,X4] :
( ( ~ epred28_2(X4,X3)
| epred27_2(X4,X3)
| ( X3 = cell46
& X4 = cell56 )
| ( X3 = cell47
& X4 = cell57 )
| ( X3 = cell48
& X4 = cell58 )
| ( X3 = cell49
& X4 = cell59 )
| ( X3 = cell50
& X4 = cell60 ) )
& ( ( ~ epred27_2(X4,X3)
& ( X3 != cell46
| X4 != cell56 )
& ( X3 != cell47
| X4 != cell57 )
& ( X3 != cell48
| X4 != cell58 )
& ( X3 != cell49
| X4 != cell59 )
& ( X3 != cell50
| X4 != cell60 ) )
| epred28_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1195]) ).
fof(1197,plain,
! [X3,X4] :
( ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( ~ epred27_2(X4,X3)
| epred28_2(X4,X3) )
& ( X3 != cell46
| X4 != cell56
| epred28_2(X4,X3) )
& ( X3 != cell47
| X4 != cell57
| epred28_2(X4,X3) )
& ( X3 != cell48
| X4 != cell58
| epred28_2(X4,X3) )
& ( X3 != cell49
| X4 != cell59
| epred28_2(X4,X3) )
& ( X3 != cell50
| X4 != cell60
| epred28_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1196]) ).
cnf(1203,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1197]) ).
fof(1236,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 ) )
& ( ( ~ epred28_2(X1,X2)
& ( X2 != cell51
| X1 != cell61 )
& ( X2 != cell52
| X1 != cell62 )
& ( X2 != cell53
| X1 != cell63 )
& ( X2 != cell54
| X1 != cell64 )
& ( X2 != cell55
| X1 != cell65 ) )
| epred29_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(1237,plain,
! [X3,X4] :
( ( ~ epred29_2(X4,X3)
| epred28_2(X4,X3)
| ( X3 = cell51
& X4 = cell61 )
| ( X3 = cell52
& X4 = cell62 )
| ( X3 = cell53
& X4 = cell63 )
| ( X3 = cell54
& X4 = cell64 )
| ( X3 = cell55
& X4 = cell65 ) )
& ( ( ~ epred28_2(X4,X3)
& ( X3 != cell51
| X4 != cell61 )
& ( X3 != cell52
| X4 != cell62 )
& ( X3 != cell53
| X4 != cell63 )
& ( X3 != cell54
| X4 != cell64 )
& ( X3 != cell55
| X4 != cell65 ) )
| epred29_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1236]) ).
fof(1238,plain,
! [X3,X4] :
( ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( ~ epred28_2(X4,X3)
| epred29_2(X4,X3) )
& ( X3 != cell51
| X4 != cell61
| epred29_2(X4,X3) )
& ( X3 != cell52
| X4 != cell62
| epred29_2(X4,X3) )
& ( X3 != cell53
| X4 != cell63
| epred29_2(X4,X3) )
& ( X3 != cell54
| X4 != cell64
| epred29_2(X4,X3) )
& ( X3 != cell55
| X4 != cell65
| epred29_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1237]) ).
cnf(1244,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1238]) ).
fof(1277,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 ) )
& ( ( ~ epred29_2(X1,X2)
& ( X2 != cell56
| X1 != cell66 )
& ( X2 != cell57
| X1 != cell67 )
& ( X2 != cell58
| X1 != cell68 )
& ( X2 != cell59
| X1 != cell69 )
& ( X2 != cell60
| X1 != cell70 ) )
| epred30_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(1278,plain,
! [X3,X4] :
( ( ~ epred30_2(X4,X3)
| epred29_2(X4,X3)
| ( X3 = cell56
& X4 = cell66 )
| ( X3 = cell57
& X4 = cell67 )
| ( X3 = cell58
& X4 = cell68 )
| ( X3 = cell59
& X4 = cell69 )
| ( X3 = cell60
& X4 = cell70 ) )
& ( ( ~ epred29_2(X4,X3)
& ( X3 != cell56
| X4 != cell66 )
& ( X3 != cell57
| X4 != cell67 )
& ( X3 != cell58
| X4 != cell68 )
& ( X3 != cell59
| X4 != cell69 )
& ( X3 != cell60
| X4 != cell70 ) )
| epred30_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1277]) ).
fof(1279,plain,
! [X3,X4] :
( ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( ~ epred29_2(X4,X3)
| epred30_2(X4,X3) )
& ( X3 != cell56
| X4 != cell66
| epred30_2(X4,X3) )
& ( X3 != cell57
| X4 != cell67
| epred30_2(X4,X3) )
& ( X3 != cell58
| X4 != cell68
| epred30_2(X4,X3) )
& ( X3 != cell59
| X4 != cell69
| epred30_2(X4,X3) )
& ( X3 != cell60
| X4 != cell70
| epred30_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1278]) ).
cnf(1285,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1279]) ).
fof(1318,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 ) )
& ( ( ~ epred30_2(X1,X2)
& ( X2 != cell61
| X1 != cell71 )
& ( X2 != cell62
| X1 != cell72 )
& ( X2 != cell63
| X1 != cell73 )
& ( X2 != cell64
| X1 != cell74 )
& ( X2 != cell65
| X1 != cell75 ) )
| epred31_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(1319,plain,
! [X3,X4] :
( ( ~ epred31_2(X4,X3)
| epred30_2(X4,X3)
| ( X3 = cell61
& X4 = cell71 )
| ( X3 = cell62
& X4 = cell72 )
| ( X3 = cell63
& X4 = cell73 )
| ( X3 = cell64
& X4 = cell74 )
| ( X3 = cell65
& X4 = cell75 ) )
& ( ( ~ epred30_2(X4,X3)
& ( X3 != cell61
| X4 != cell71 )
& ( X3 != cell62
| X4 != cell72 )
& ( X3 != cell63
| X4 != cell73 )
& ( X3 != cell64
| X4 != cell74 )
& ( X3 != cell65
| X4 != cell75 ) )
| epred31_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1318]) ).
fof(1320,plain,
! [X3,X4] :
( ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( ~ epred30_2(X4,X3)
| epred31_2(X4,X3) )
& ( X3 != cell61
| X4 != cell71
| epred31_2(X4,X3) )
& ( X3 != cell62
| X4 != cell72
| epred31_2(X4,X3) )
& ( X3 != cell63
| X4 != cell73
| epred31_2(X4,X3) )
& ( X3 != cell64
| X4 != cell74
| epred31_2(X4,X3) )
& ( X3 != cell65
| X4 != cell75
| epred31_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1319]) ).
cnf(1326,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1320]) ).
fof(1359,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 ) )
& ( ( ~ epred31_2(X1,X2)
& ( X2 != cell66
| X1 != cell76 )
& ( X2 != cell67
| X1 != cell77 )
& ( X2 != cell68
| X1 != cell78 )
& ( X2 != cell69
| X1 != cell79 )
& ( X2 != cell70
| X1 != cell80 ) )
| epred32_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(1360,plain,
! [X3,X4] :
( ( ~ epred32_2(X4,X3)
| epred31_2(X4,X3)
| ( X3 = cell66
& X4 = cell76 )
| ( X3 = cell67
& X4 = cell77 )
| ( X3 = cell68
& X4 = cell78 )
| ( X3 = cell69
& X4 = cell79 )
| ( X3 = cell70
& X4 = cell80 ) )
& ( ( ~ epred31_2(X4,X3)
& ( X3 != cell66
| X4 != cell76 )
& ( X3 != cell67
| X4 != cell77 )
& ( X3 != cell68
| X4 != cell78 )
& ( X3 != cell69
| X4 != cell79 )
& ( X3 != cell70
| X4 != cell80 ) )
| epred32_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1359]) ).
fof(1361,plain,
! [X3,X4] :
( ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( ~ epred31_2(X4,X3)
| epred32_2(X4,X3) )
& ( X3 != cell66
| X4 != cell76
| epred32_2(X4,X3) )
& ( X3 != cell67
| X4 != cell77
| epred32_2(X4,X3) )
& ( X3 != cell68
| X4 != cell78
| epred32_2(X4,X3) )
& ( X3 != cell69
| X4 != cell79
| epred32_2(X4,X3) )
& ( X3 != cell70
| X4 != cell80
| epred32_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1360]) ).
cnf(1367,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1361]) ).
fof(1400,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 ) )
& ( ( ~ epred32_2(X1,X2)
& ( X2 != cell71
| X1 != cell81 )
& ( X2 != cell72
| X1 != cell82 )
& ( X2 != cell73
| X1 != cell83 )
& ( X2 != cell74
| X1 != cell84 )
& ( X2 != cell75
| X1 != cell85 ) )
| epred33_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(1401,plain,
! [X3,X4] :
( ( ~ epred33_2(X4,X3)
| epred32_2(X4,X3)
| ( X3 = cell71
& X4 = cell81 )
| ( X3 = cell72
& X4 = cell82 )
| ( X3 = cell73
& X4 = cell83 )
| ( X3 = cell74
& X4 = cell84 )
| ( X3 = cell75
& X4 = cell85 ) )
& ( ( ~ epred32_2(X4,X3)
& ( X3 != cell71
| X4 != cell81 )
& ( X3 != cell72
| X4 != cell82 )
& ( X3 != cell73
| X4 != cell83 )
& ( X3 != cell74
| X4 != cell84 )
& ( X3 != cell75
| X4 != cell85 ) )
| epred33_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1400]) ).
fof(1402,plain,
! [X3,X4] :
( ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( ~ epred32_2(X4,X3)
| epred33_2(X4,X3) )
& ( X3 != cell71
| X4 != cell81
| epred33_2(X4,X3) )
& ( X3 != cell72
| X4 != cell82
| epred33_2(X4,X3) )
& ( X3 != cell73
| X4 != cell83
| epred33_2(X4,X3) )
& ( X3 != cell74
| X4 != cell84
| epred33_2(X4,X3) )
& ( X3 != cell75
| X4 != cell85
| epred33_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1401]) ).
cnf(1408,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1402]) ).
fof(1441,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 ) )
& ( ( ~ epred33_2(X1,X2)
& ( X2 != cell76
| X1 != cell86 )
& ( X2 != cell77
| X1 != cell87 )
& ( X2 != cell78
| X1 != cell88 )
& ( X2 != cell79
| X1 != cell89 )
& ( X2 != cell80
| X1 != cell90 ) )
| epred34_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(1442,plain,
! [X3,X4] :
( ( ~ epred34_2(X4,X3)
| epred33_2(X4,X3)
| ( X3 = cell76
& X4 = cell86 )
| ( X3 = cell77
& X4 = cell87 )
| ( X3 = cell78
& X4 = cell88 )
| ( X3 = cell79
& X4 = cell89 )
| ( X3 = cell80
& X4 = cell90 ) )
& ( ( ~ epred33_2(X4,X3)
& ( X3 != cell76
| X4 != cell86 )
& ( X3 != cell77
| X4 != cell87 )
& ( X3 != cell78
| X4 != cell88 )
& ( X3 != cell79
| X4 != cell89 )
& ( X3 != cell80
| X4 != cell90 ) )
| epred34_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1441]) ).
fof(1443,plain,
! [X3,X4] :
( ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( ~ epred33_2(X4,X3)
| epred34_2(X4,X3) )
& ( X3 != cell76
| X4 != cell86
| epred34_2(X4,X3) )
& ( X3 != cell77
| X4 != cell87
| epred34_2(X4,X3) )
& ( X3 != cell78
| X4 != cell88
| epred34_2(X4,X3) )
& ( X3 != cell79
| X4 != cell89
| epred34_2(X4,X3) )
& ( X3 != cell80
| X4 != cell90
| epred34_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1442]) ).
cnf(1449,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1443]) ).
fof(1482,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 ) )
& ( ( ~ epred34_2(X1,X2)
& ( X2 != cell81
| X1 != cell91 )
& ( X2 != cell82
| X1 != cell92 )
& ( X2 != cell83
| X1 != cell93 )
& ( X2 != cell84
| X1 != cell94 )
& ( X2 != cell85
| X1 != cell95 ) )
| epred35_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[76]) ).
fof(1483,plain,
! [X3,X4] :
( ( ~ epred35_2(X4,X3)
| epred34_2(X4,X3)
| ( X3 = cell81
& X4 = cell91 )
| ( X3 = cell82
& X4 = cell92 )
| ( X3 = cell83
& X4 = cell93 )
| ( X3 = cell84
& X4 = cell94 )
| ( X3 = cell85
& X4 = cell95 ) )
& ( ( ~ epred34_2(X4,X3)
& ( X3 != cell81
| X4 != cell91 )
& ( X3 != cell82
| X4 != cell92 )
& ( X3 != cell83
| X4 != cell93 )
& ( X3 != cell84
| X4 != cell94 )
& ( X3 != cell85
| X4 != cell95 ) )
| epred35_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1482]) ).
fof(1484,plain,
! [X3,X4] :
( ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( ~ epred34_2(X4,X3)
| epred35_2(X4,X3) )
& ( X3 != cell81
| X4 != cell91
| epred35_2(X4,X3) )
& ( X3 != cell82
| X4 != cell92
| epred35_2(X4,X3) )
& ( X3 != cell83
| X4 != cell93
| epred35_2(X4,X3) )
& ( X3 != cell84
| X4 != cell94
| epred35_2(X4,X3) )
& ( X3 != cell85
| X4 != cell95
| epred35_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1483]) ).
cnf(1490,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1484]) ).
fof(1523,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 ) )
& ( ( ~ epred35_2(X1,X2)
& ( X2 != cell86
| X1 != cell96 )
& ( X2 != cell87
| X1 != cell97 )
& ( X2 != cell88
| X1 != cell98 )
& ( X2 != cell89
| X1 != cell99 )
& ( X2 != cell90
| X1 != cell100 ) )
| epred36_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[77]) ).
fof(1524,plain,
! [X3,X4] :
( ( ~ epred36_2(X4,X3)
| epred35_2(X4,X3)
| ( X3 = cell86
& X4 = cell96 )
| ( X3 = cell87
& X4 = cell97 )
| ( X3 = cell88
& X4 = cell98 )
| ( X3 = cell89
& X4 = cell99 )
| ( X3 = cell90
& X4 = cell100 ) )
& ( ( ~ epred35_2(X4,X3)
& ( X3 != cell86
| X4 != cell96 )
& ( X3 != cell87
| X4 != cell97 )
& ( X3 != cell88
| X4 != cell98 )
& ( X3 != cell89
| X4 != cell99 )
& ( X3 != cell90
| X4 != cell100 ) )
| epred36_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[1523]) ).
fof(1525,plain,
! [X3,X4] :
( ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( ~ epred35_2(X4,X3)
| epred36_2(X4,X3) )
& ( X3 != cell86
| X4 != cell96
| epred36_2(X4,X3) )
& ( X3 != cell87
| X4 != cell97
| epred36_2(X4,X3) )
& ( X3 != cell88
| X4 != cell98
| epred36_2(X4,X3) )
& ( X3 != cell89
| X4 != cell99
| epred36_2(X4,X3) )
& ( X3 != cell90
| X4 != cell100
| epred36_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1524]) ).
cnf(1531,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[1525]) ).
cnf(1565,negated_conjecture,
~ edge(cell12,cell13),
inference(spm,[status(thm)],[82,87,theory(equality)]) ).
cnf(9319,negated_conjecture,
~ epred36_2(cell13,cell12),
inference(spm,[status(thm)],[1565,80,theory(equality)]) ).
cnf(9326,plain,
~ epred35_2(cell13,cell12),
inference(spm,[status(thm)],[9319,1531,theory(equality)]) ).
cnf(9338,plain,
~ epred34_2(cell13,cell12),
inference(spm,[status(thm)],[9326,1490,theory(equality)]) ).
cnf(9360,plain,
~ epred33_2(cell13,cell12),
inference(spm,[status(thm)],[9338,1449,theory(equality)]) ).
cnf(9372,plain,
~ epred32_2(cell13,cell12),
inference(spm,[status(thm)],[9360,1408,theory(equality)]) ).
cnf(9414,plain,
~ epred31_2(cell13,cell12),
inference(spm,[status(thm)],[9372,1367,theory(equality)]) ).
cnf(9436,plain,
~ epred30_2(cell13,cell12),
inference(spm,[status(thm)],[9414,1326,theory(equality)]) ).
cnf(9448,plain,
~ epred29_2(cell13,cell12),
inference(spm,[status(thm)],[9436,1285,theory(equality)]) ).
cnf(9500,plain,
~ epred28_2(cell13,cell12),
inference(spm,[status(thm)],[9448,1244,theory(equality)]) ).
cnf(9512,plain,
~ epred27_2(cell13,cell12),
inference(spm,[status(thm)],[9500,1203,theory(equality)]) ).
cnf(9554,plain,
~ epred26_2(cell13,cell12),
inference(spm,[status(thm)],[9512,1162,theory(equality)]) ).
cnf(9576,plain,
~ epred25_2(cell13,cell12),
inference(spm,[status(thm)],[9554,1121,theory(equality)]) ).
cnf(9588,plain,
~ epred24_2(cell13,cell12),
inference(spm,[status(thm)],[9576,1080,theory(equality)]) ).
cnf(9640,plain,
~ epred23_2(cell13,cell12),
inference(spm,[status(thm)],[9588,1039,theory(equality)]) ).
cnf(9652,plain,
~ epred22_2(cell13,cell12),
inference(spm,[status(thm)],[9640,998,theory(equality)]) ).
cnf(9694,plain,
~ epred21_2(cell13,cell12),
inference(spm,[status(thm)],[9652,957,theory(equality)]) ).
cnf(9718,plain,
~ epred20_2(cell13,cell12),
inference(spm,[status(thm)],[9694,916,theory(equality)]) ).
cnf(9768,plain,
~ epred19_2(cell13,cell12),
inference(spm,[status(thm)],[9718,875,theory(equality)]) ).
cnf(9812,plain,
~ epred18_2(cell13,cell12),
inference(spm,[status(thm)],[9768,834,theory(equality)]) ).
cnf(9872,plain,
~ epred17_2(cell13,cell12),
inference(spm,[status(thm)],[9812,793,theory(equality)]) ).
cnf(9884,plain,
~ epred16_2(cell13,cell12),
inference(spm,[status(thm)],[9872,752,theory(equality)]) ).
cnf(9926,plain,
~ epred15_2(cell13,cell12),
inference(spm,[status(thm)],[9884,711,theory(equality)]) ).
cnf(9948,plain,
~ epred14_2(cell13,cell12),
inference(spm,[status(thm)],[9926,670,theory(equality)]) ).
cnf(9960,plain,
~ epred13_2(cell13,cell12),
inference(spm,[status(thm)],[9948,629,theory(equality)]) ).
cnf(10012,plain,
~ epred12_2(cell13,cell12),
inference(spm,[status(thm)],[9960,588,theory(equality)]) ).
cnf(10024,plain,
~ epred11_2(cell13,cell12),
inference(spm,[status(thm)],[10012,547,theory(equality)]) ).
cnf(10066,plain,
~ epred10_2(cell13,cell12),
inference(spm,[status(thm)],[10024,506,theory(equality)]) ).
cnf(10088,plain,
~ epred9_2(cell13,cell12),
inference(spm,[status(thm)],[10066,465,theory(equality)]) ).
cnf(10100,plain,
~ epred8_2(cell13,cell12),
inference(spm,[status(thm)],[10088,424,theory(equality)]) ).
cnf(10152,plain,
~ epred7_2(cell13,cell12),
inference(spm,[status(thm)],[10100,383,theory(equality)]) ).
cnf(10164,plain,
~ epred6_2(cell13,cell12),
inference(spm,[status(thm)],[10152,342,theory(equality)]) ).
cnf(10206,plain,
~ epred5_2(cell13,cell12),
inference(spm,[status(thm)],[10164,301,theory(equality)]) ).
cnf(10228,plain,
~ epred4_2(cell13,cell12),
inference(spm,[status(thm)],[10206,260,theory(equality)]) ).
cnf(10240,plain,
~ epred3_2(cell13,cell12),
inference(spm,[status(thm)],[10228,219,theory(equality)]) ).
cnf(10292,plain,
$false,
inference(spm,[status(thm)],[10240,177,theory(equality)]) ).
cnf(10298,plain,
$false,
10292,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ075+1.p
% --creating new selector for []
% -running prover on /tmp/tmp_BmFzl/sel_PUZ075+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ075+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ075+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ075+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------