TSTP Solution File: PUZ075+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ075+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:10:49 EDT 2022
% Result : Theorem 0.16s 1.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 38
% Syntax : Number of formulae : 184 ( 40 unt; 0 def)
% Number of atoms : 15777 (13132 equ)
% Maximal formula atoms : 361 ( 85 avg)
% Number of connectives : 17135 (1542 ~;10585 |;4936 &)
% ( 72 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 31 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-2 aty)
% Number of functors : 100 ( 100 usr; 100 con; 0-0 aty)
% Number of variables : 360 ( 72 sgn 288 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tlhfof24989,conjecture,
adj(cell12,cell13),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tlhfof24989) ).
fof(tlhfof24988,axiom,
! [X3,X4] :
( adj(X4,X3)
<=> ( edge(X4,X3)
| edge(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tlhfof24988) ).
fof(tlhfof24987,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tlhfof24987) ).
fof(c_0_3,negated_conjecture,
~ adj(cell12,cell13),
inference(assume_negation,[status(cth)],[tlhfof24989]) ).
fof(c_0_4,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
~ adj(cell12,cell13),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_6,plain,
! [X5,X6,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof24988])])])])]) ).
fof(c_0_7,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> epred36_2(X1,X2) ),
inference(apply_def,[status(thm)],[tlhfof24987,c_0_4]) ).
fof(c_0_8,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) ).
cnf(c_0_9,negated_conjecture,
~ adj(cell12,cell13),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( adj(X1,X2)
| ~ edge(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X3,X4,X3,X4] :
( ( ~ edge(X4,X3)
| epred36_2(X3,X4) )
& ( ~ epred36_2(X3,X4)
| edge(X4,X3) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_12,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( epred35_2(X1,X2)
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_4,c_0_8]) ).
fof(c_0_13,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) ).
cnf(c_0_14,negated_conjecture,
~ edge(cell12,cell13),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( edge(X1,X2)
| ~ epred36_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_17,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( epred34_2(X1,X2)
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_8,c_0_13]) ).
fof(c_0_18,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) ).
cnf(c_0_19,negated_conjecture,
~ epred36_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_22,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( epred33_2(X1,X2)
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
inference(apply_def,[status(thm)],[c_0_13,c_0_18]) ).
fof(c_0_23,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) ).
cnf(c_0_24,plain,
~ epred35_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).
fof(c_0_27,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( epred32_2(X1,X2)
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
inference(apply_def,[status(thm)],[c_0_18,c_0_23]) ).
fof(c_0_28,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) ).
cnf(c_0_29,plain,
~ epred34_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
fof(c_0_32,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( epred31_2(X1,X2)
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
inference(apply_def,[status(thm)],[c_0_23,c_0_28]) ).
fof(c_0_33,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) ).
cnf(c_0_34,plain,
~ epred33_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).
fof(c_0_37,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( epred30_2(X1,X2)
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
inference(apply_def,[status(thm)],[c_0_28,c_0_33]) ).
fof(c_0_38,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) ).
cnf(c_0_39,plain,
~ epred32_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
fof(c_0_42,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( epred29_2(X1,X2)
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
inference(apply_def,[status(thm)],[c_0_33,c_0_38]) ).
fof(c_0_43,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) ).
cnf(c_0_44,plain,
~ epred31_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])]) ).
fof(c_0_47,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( epred28_2(X1,X2)
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
inference(apply_def,[status(thm)],[c_0_38,c_0_43]) ).
fof(c_0_48,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) ).
cnf(c_0_49,plain,
~ epred30_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_51,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])]) ).
fof(c_0_52,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( epred27_2(X1,X2)
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
inference(apply_def,[status(thm)],[c_0_43,c_0_48]) ).
fof(c_0_53,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) ).
cnf(c_0_54,plain,
~ epred29_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])]) ).
fof(c_0_57,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( epred26_2(X1,X2)
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
inference(apply_def,[status(thm)],[c_0_48,c_0_53]) ).
fof(c_0_58,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) ).
cnf(c_0_59,plain,
~ epred28_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_61,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).
fof(c_0_62,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( epred25_2(X1,X2)
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_53,c_0_58]) ).
fof(c_0_63,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) ).
cnf(c_0_64,plain,
~ epred27_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_66,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])]) ).
fof(c_0_67,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( epred24_2(X1,X2)
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_58,c_0_63]) ).
fof(c_0_68,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) ).
cnf(c_0_69,plain,
~ epred26_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_71,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])]) ).
fof(c_0_72,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( epred23_2(X1,X2)
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
inference(apply_def,[status(thm)],[c_0_63,c_0_68]) ).
fof(c_0_73,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) ).
cnf(c_0_74,plain,
~ epred25_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_76,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])]) ).
fof(c_0_77,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( epred22_2(X1,X2)
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
inference(apply_def,[status(thm)],[c_0_68,c_0_73]) ).
fof(c_0_78,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) ).
cnf(c_0_79,plain,
~ epred24_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_81,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])]) ).
fof(c_0_82,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( epred21_2(X1,X2)
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
inference(apply_def,[status(thm)],[c_0_73,c_0_78]) ).
fof(c_0_83,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) ).
cnf(c_0_84,plain,
~ epred23_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_86,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])])]) ).
fof(c_0_87,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( epred20_2(X1,X2)
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
inference(apply_def,[status(thm)],[c_0_78,c_0_83]) ).
fof(c_0_88,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) ).
cnf(c_0_89,plain,
~ epred22_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_91,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])])]) ).
fof(c_0_92,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( epred19_2(X1,X2)
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
inference(apply_def,[status(thm)],[c_0_83,c_0_88]) ).
fof(c_0_93,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) ).
cnf(c_0_94,plain,
~ epred21_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_96,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])])]) ).
fof(c_0_97,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( epred18_2(X1,X2)
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
inference(apply_def,[status(thm)],[c_0_88,c_0_93]) ).
fof(c_0_98,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) ).
cnf(c_0_99,plain,
~ epred20_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_101,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])])]) ).
fof(c_0_102,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( epred17_2(X1,X2)
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_93,c_0_98]) ).
fof(c_0_103,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) ).
cnf(c_0_104,plain,
~ epred19_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_106,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])])]) ).
fof(c_0_107,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( epred16_2(X1,X2)
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_98,c_0_103]) ).
fof(c_0_108,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) ).
cnf(c_0_109,plain,
~ epred18_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
fof(c_0_111,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])])]) ).
fof(c_0_112,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( epred15_2(X1,X2)
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) ) ),
inference(apply_def,[status(thm)],[c_0_103,c_0_108]) ).
fof(c_0_113,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) ).
cnf(c_0_114,plain,
~ epred17_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_116,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])])]) ).
fof(c_0_117,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( epred14_2(X1,X2)
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) ) ),
inference(apply_def,[status(thm)],[c_0_108,c_0_113]) ).
fof(c_0_118,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) ).
cnf(c_0_119,plain,
~ epred16_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_121,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])])])])]) ).
fof(c_0_122,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( epred13_2(X1,X2)
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) ) ),
inference(apply_def,[status(thm)],[c_0_113,c_0_118]) ).
fof(c_0_123,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) ).
cnf(c_0_124,plain,
~ epred15_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
fof(c_0_126,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])])]) ).
fof(c_0_127,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( epred12_2(X1,X2)
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) ) ),
inference(apply_def,[status(thm)],[c_0_118,c_0_123]) ).
fof(c_0_128,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) ).
cnf(c_0_129,plain,
~ epred14_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
fof(c_0_131,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])])])]) ).
fof(c_0_132,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( epred11_2(X1,X2)
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) ) ),
inference(apply_def,[status(thm)],[c_0_123,c_0_128]) ).
fof(c_0_133,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) ).
cnf(c_0_134,plain,
~ epred13_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
fof(c_0_136,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])])])]) ).
fof(c_0_137,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( epred10_2(X1,X2)
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) ) ),
inference(apply_def,[status(thm)],[c_0_128,c_0_133]) ).
fof(c_0_138,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) ).
cnf(c_0_139,plain,
~ epred12_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
fof(c_0_141,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])])]) ).
fof(c_0_142,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( epred9_2(X1,X2)
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) ) ),
inference(apply_def,[status(thm)],[c_0_133,c_0_138]) ).
fof(c_0_143,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) ).
cnf(c_0_144,plain,
~ epred11_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
fof(c_0_146,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])])])]) ).
fof(c_0_147,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( epred8_2(X1,X2)
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_138,c_0_143]) ).
fof(c_0_148,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) ).
cnf(c_0_149,plain,
~ epred10_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
fof(c_0_151,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])])])]) ).
fof(c_0_152,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( epred7_2(X1,X2)
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_143,c_0_148]) ).
fof(c_0_153,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) ).
cnf(c_0_154,plain,
~ epred9_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
fof(c_0_156,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])])])]) ).
fof(c_0_157,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( epred6_2(X1,X2)
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) ) ),
inference(apply_def,[status(thm)],[c_0_148,c_0_153]) ).
fof(c_0_158,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) ).
cnf(c_0_159,plain,
~ epred8_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
fof(c_0_161,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])])])]) ).
fof(c_0_162,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( epred5_2(X1,X2)
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) ) ),
inference(apply_def,[status(thm)],[c_0_153,c_0_158]) ).
fof(c_0_163,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) ).
cnf(c_0_164,plain,
~ epred7_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
fof(c_0_166,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_162])])])])]) ).
fof(c_0_167,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( epred4_2(X1,X2)
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) ) ),
inference(apply_def,[status(thm)],[c_0_158,c_0_163]) ).
fof(c_0_168,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) ).
cnf(c_0_169,plain,
~ epred6_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_170,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
fof(c_0_171,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])])])]) ).
fof(c_0_172,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( epred3_2(X1,X2)
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) ) ),
inference(apply_def,[status(thm)],[c_0_163,c_0_168]) ).
fof(c_0_173,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) ).
cnf(c_0_174,plain,
~ epred5_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
fof(c_0_176,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])])])]) ).
fof(c_0_177,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( epred2_2(X1,X2)
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) ) ),
inference(apply_def,[status(thm)],[c_0_168,c_0_173]) ).
cnf(c_0_178,plain,
~ epred4_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
fof(c_0_180,plain,
! [X3,X4,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)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_177])])])])]) ).
cnf(c_0_181,plain,
~ epred3_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,plain,
( epred3_2(X1,X2)
| X1 != cell13
| X2 != cell12 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_183,plain,
$false,
inference(spm,[status(thm)],[c_0_181,c_0_182]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : PUZ075+1 : TPTP v8.1.0. Released v3.5.0.
% 0.04/0.09 % Command : run_ET %s %d
% 0.08/0.28 % Computer : n028.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sat May 28 20:31:17 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.16/1.34 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.16/1.34 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.16/1.34 # Preprocessing time : 0.013 s
% 0.16/1.34
% 0.16/1.34 # Failure: Out of unprocessed clauses!
% 0.16/1.34 # OLD status GaveUp
% 0.16/1.34 # Parsed axioms : 3
% 0.16/1.34 # Removed by relevancy pruning/SinE : 1
% 0.16/1.34 # Initial clauses : 4
% 0.16/1.34 # Removed in clause preprocessing : 0
% 0.16/1.34 # Initial clauses in saturation : 4
% 0.16/1.34 # Processed clauses : 6
% 0.16/1.34 # ...of these trivial : 0
% 0.16/1.34 # ...subsumed : 0
% 0.16/1.34 # ...remaining for further processing : 6
% 0.16/1.34 # Other redundant clauses eliminated : 0
% 0.16/1.34 # Clauses deleted for lack of memory : 0
% 0.16/1.34 # Backward-subsumed : 0
% 0.16/1.34 # Backward-rewritten : 0
% 0.16/1.34 # Generated clauses : 4
% 0.16/1.34 # ...of the previous two non-trivial : 2
% 0.16/1.34 # Contextual simplify-reflections : 0
% 0.16/1.34 # Paramodulations : 4
% 0.16/1.34 # Factorizations : 0
% 0.16/1.34 # Equation resolutions : 0
% 0.16/1.34 # Current number of processed clauses : 6
% 0.16/1.34 # Positive orientable unit clauses : 0
% 0.16/1.34 # Positive unorientable unit clauses: 0
% 0.16/1.34 # Negative unit clauses : 3
% 0.16/1.34 # Non-unit-clauses : 3
% 0.16/1.34 # Current number of unprocessed clauses: 0
% 0.16/1.34 # ...number of literals in the above : 0
% 0.16/1.34 # Current number of archived formulas : 0
% 0.16/1.34 # Current number of archived clauses : 0
% 0.16/1.34 # Clause-clause subsumption calls (NU) : 2
% 0.16/1.34 # Rec. Clause-clause subsumption calls : 2
% 0.16/1.34 # Non-unit clause-clause subsumptions : 0
% 0.16/1.34 # Unit Clause-clause subsumption calls : 1
% 0.16/1.34 # Rewrite failures with RHS unbound : 0
% 0.16/1.34 # BW rewrite match attempts : 0
% 0.16/1.34 # BW rewrite match successes : 0
% 0.16/1.34 # Condensation attempts : 0
% 0.16/1.34 # Condensation successes : 0
% 0.16/1.34 # Termbank termtop insertions : 1276
% 0.16/1.34
% 0.16/1.34 # -------------------------------------------------
% 0.16/1.34 # User time : 0.011 s
% 0.16/1.34 # System time : 0.002 s
% 0.16/1.34 # Total time : 0.013 s
% 0.16/1.34 # Maximum resident set size: 2956 pages
% 0.16/1.34 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.16/1.34 # Preprocessing time : 0.048 s
% 0.16/1.34
% 0.16/1.34 # Proof found!
% 0.16/1.34 # SZS status Theorem
% 0.16/1.34 # SZS output start CNFRefutation
% See solution above
% 0.16/1.34 # Proof object total steps : 184
% 0.16/1.34 # Proof object clause steps : 73
% 0.16/1.34 # Proof object formula steps : 111
% 0.16/1.34 # Proof object conjectures : 6
% 0.16/1.34 # Proof object clause conjectures : 3
% 0.16/1.34 # Proof object formula conjectures : 3
% 0.16/1.34 # Proof object initial clauses used : 37
% 0.16/1.34 # Proof object initial formulas used : 3
% 0.16/1.34 # Proof object generating inferences : 36
% 0.16/1.34 # Proof object simplifying inferences : 0
% 0.16/1.34 # Training examples: 0 positive, 0 negative
% 0.16/1.34 # Parsed axioms : 3
% 0.16/1.34 # Removed by relevancy pruning/SinE : 0
% 0.16/1.34 # Initial clauses : 1373
% 0.16/1.34 # Removed in clause preprocessing : 0
% 0.16/1.34 # Initial clauses in saturation : 1373
% 0.16/1.34 # Processed clauses : 1504
% 0.16/1.34 # ...of these trivial : 0
% 0.16/1.34 # ...subsumed : 0
% 0.16/1.34 # ...remaining for further processing : 1504
% 0.16/1.34 # Other redundant clauses eliminated : 0
% 0.16/1.34 # Clauses deleted for lack of memory : 0
% 0.16/1.34 # Backward-subsumed : 0
% 0.16/1.34 # Backward-rewritten : 0
% 0.16/1.34 # Generated clauses : 8354
% 0.16/1.34 # ...of the previous two non-trivial : 1435
% 0.16/1.34 # Contextual simplify-reflections : 0
% 0.16/1.34 # Paramodulations : 8354
% 0.16/1.34 # Factorizations : 0
% 0.16/1.34 # Equation resolutions : 0
% 0.16/1.34 # Current number of processed clauses : 1504
% 0.16/1.34 # Positive orientable unit clauses : 0
% 0.16/1.34 # Positive unorientable unit clauses: 0
% 0.16/1.34 # Negative unit clauses : 75
% 0.16/1.34 # Non-unit-clauses : 1429
% 0.16/1.34 # Current number of unprocessed clauses: 1304
% 0.16/1.34 # ...number of literals in the above : 11650
% 0.16/1.34 # Current number of archived formulas : 0
% 0.16/1.34 # Current number of archived clauses : 0
% 0.16/1.34 # Clause-clause subsumption calls (NU) : 731215
% 0.16/1.34 # Rec. Clause-clause subsumption calls : 12239
% 0.16/1.34 # Non-unit clause-clause subsumptions : 0
% 0.16/1.34 # Unit Clause-clause subsumption calls : 89415
% 0.16/1.34 # Rewrite failures with RHS unbound : 0
% 0.16/1.34 # BW rewrite match attempts : 0
% 0.16/1.34 # BW rewrite match successes : 0
% 0.16/1.34 # Condensation attempts : 0
% 0.16/1.34 # Condensation successes : 0
% 0.16/1.34 # Termbank termtop insertions : 130364
% 0.16/1.34
% 0.16/1.34 # -------------------------------------------------
% 0.16/1.34 # User time : 0.278 s
% 0.16/1.34 # System time : 0.006 s
% 0.16/1.34 # Total time : 0.284 s
% 0.16/1.34 # Maximum resident set size: 9080 pages
%------------------------------------------------------------------------------