%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ077+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:50 PM UTC 2026
% Result : Theorem 151.09s 22.47s
% Output : CNFRefutation 151.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 47
% Syntax : Number of formulae : 288 ( 49 unt; 0 def)
% Number of atoms : 13937 (10106 equ)
% Maximal formula atoms : 309 ( 48 avg)
% Number of connectives : 15559 (1910 ~;9835 |;3728 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 104 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 1 prp; 0-2 aty)
% Number of functors : 131 ( 131 usr; 100 con; 0-2 aty)
% Number of variables : 791 ( 0 sgn 295 !; 217 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tlhfof34976,axiom,
! [X3,X4] :
( north(X4,X3)
<=> ( ( X3 = cell100
& X4 = cell99 )
| ( X3 = cell99
& X4 = cell98 )
| ( X3 = cell98
& X4 = cell97 )
| ( X3 = cell97
& X4 = cell96 )
| ( X3 = cell96
& X4 = cell95 )
| ( X3 = cell95
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell91 )
| ( X3 = cell90
& X4 = cell89 )
| ( X3 = cell89
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell84 )
| ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34976) ).
fof(tlhfof34975,axiom,
! [X1,X2] :
( west(X2,X1)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34975) ).
fof(tlhfof34980,axiom,
! [X81,X82] :
( westof(X82,X81)
<=> ( ? [X83] :
( duewest(X83,X81)
& vert(X82,X83) )
| duewest(X82,X81) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34980) ).
fof(tlhfof34979,axiom,
! [X81,X82] :
( vert(X82,X81)
<=> ( duenorth(X81,X82)
| duenorth(X82,X81) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34979) ).
fof(tlhfof34978,axiom,
! [X43,X44] :
( duenorth(X44,X43)
<=> ( ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X80,X43)
& north(X79,X80)
& north(X78,X79)
& north(X77,X78)
& north(X76,X77)
& north(X75,X76)
& north(X74,X75)
& north(X73,X74)
& north(X44,X73) )
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X72,X43)
& north(X71,X72)
& north(X70,X71)
& north(X69,X70)
& north(X68,X69)
& north(X67,X68)
& north(X66,X67)
& north(X44,X66) )
| ? [X60,X61,X62,X63,X64,X65] :
( north(X65,X43)
& north(X64,X65)
& north(X63,X64)
& north(X62,X63)
& north(X61,X62)
& north(X60,X61)
& north(X44,X60) )
| ? [X55,X56,X57,X58,X59] :
( north(X59,X43)
& north(X58,X59)
& north(X57,X58)
& north(X56,X57)
& north(X55,X56)
& north(X44,X55) )
| ? [X51,X52,X53,X54] :
( north(X54,X43)
& north(X53,X54)
& north(X52,X53)
& north(X51,X52)
& north(X44,X51) )
| ? [X48,X49,X50] :
( north(X50,X43)
& north(X49,X50)
& north(X48,X49)
& north(X44,X48) )
| ? [X46,X47] :
( north(X47,X43)
& north(X46,X47)
& north(X44,X46) )
| ? [X45] :
( north(X45,X43)
& north(X44,X45) )
| north(X44,X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34978) ).
fof(tlhfof34981,conjecture,
westof(cell1,cell100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34981) ).
fof(tlhfof34977,axiom,
! [X5,X6] :
( duewest(X6,X5)
<=> ( ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X42,X5)
& west(X41,X42)
& west(X40,X41)
& west(X39,X40)
& west(X38,X39)
& west(X37,X38)
& west(X36,X37)
& west(X35,X36)
& west(X6,X35) )
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X34,X5)
& west(X33,X34)
& west(X32,X33)
& west(X31,X32)
& west(X30,X31)
& west(X29,X30)
& west(X28,X29)
& west(X6,X28) )
| ? [X22,X23,X24,X25,X26,X27] :
( west(X27,X5)
& west(X26,X27)
& west(X25,X26)
& west(X24,X25)
& west(X23,X24)
& west(X22,X23)
& west(X6,X22) )
| ? [X17,X18,X19,X20,X21] :
( west(X21,X5)
& west(X20,X21)
& west(X19,X20)
& west(X18,X19)
& west(X17,X18)
& west(X6,X17) )
| ? [X13,X14,X15,X16] :
( west(X16,X5)
& west(X15,X16)
& west(X14,X15)
& west(X13,X14)
& west(X6,X13) )
| ? [X10,X11,X12] :
( west(X12,X5)
& west(X11,X12)
& west(X10,X11)
& west(X6,X10) )
| ? [X8,X9] :
( west(X9,X5)
& west(X8,X9)
& west(X6,X8) )
| ? [X7] :
( west(X7,X5)
& west(X6,X7) )
| west(X6,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34977) ).
fof(c_0_7,plain,
! [X4,X3] :
( epred36_2(X3,X4)
<=> ( ( X3 = cell100
& X4 = cell99 )
| ( X3 = cell99
& X4 = cell98 )
| ( X3 = cell98
& X4 = cell97 )
| ( X3 = cell97
& X4 = cell96 )
| ( X3 = cell96
& X4 = cell95 )
| ( X3 = cell95
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell91 )
| ( X3 = cell90
& X4 = cell89 )
| ( X3 = cell89
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell84 )
| ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
! [X4,X3] :
( epred35_2(X3,X4)
<=> ( ( X3 = cell95
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell91 )
| ( X3 = cell90
& X4 = cell89 )
| ( X3 = cell89
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell84 )
| ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_9,axiom,
! [X3,X4] :
( north(X4,X3)
<=> epred36_2(X3,X4) ),
inference(apply_def,[status(thm)],[tlhfof34976,c_0_7]) ).
fof(c_0_10,plain,
! [X4,X3] :
( epred36_2(X3,X4)
<=> ( ( X3 = cell100
& X4 = cell99 )
| ( X3 = cell99
& X4 = cell98 )
| ( X3 = cell98
& X4 = cell97 )
| ( X3 = cell97
& X4 = cell96 )
| ( X3 = cell96
& X4 = cell95 )
| epred35_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_11,plain,
! [X4,X3] :
( epred34_2(X3,X4)
<=> ( ( X3 = cell89
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell84 )
| ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_12,plain,
! [X86,X87] :
( ( north(X87,X86)
| ~ epred36_2(X86,X87) )
& ( epred36_2(X86,X87)
| ~ north(X87,X86) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X170,X171] :
( ( epred36_2(X171,X170)
| X171 != cell100
| X170 != cell99 )
& ( epred36_2(X171,X170)
| X171 != cell99
| X170 != cell98 )
& ( epred36_2(X171,X170)
| X171 != cell98
| X170 != cell97 )
& ( epred36_2(X171,X170)
| X171 != cell97
| X170 != cell96 )
& ( epred36_2(X171,X170)
| X171 != cell96
| X170 != cell95 )
& ( epred36_2(X171,X170)
| ~ epred35_2(X171,X170) )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X171 = cell98
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X171 = cell98
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X171 = cell98
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X171 = cell98
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X170 = cell97
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X170 = cell97
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X170 = cell97
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X171 = cell97
| X170 = cell97
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X171 = cell98
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X171 = cell98
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X171 = cell98
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X171 = cell98
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X170 = cell97
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X170 = cell97
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X170 = cell97
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X171 = cell96
| X170 = cell96
| X170 = cell97
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X171 = cell98
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X171 = cell98
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X171 = cell98
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X171 = cell98
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X170 = cell97
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X170 = cell97
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X170 = cell97
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X171 = cell97
| X170 = cell97
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X171 = cell98
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X171 = cell98
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X171 = cell98
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X171 = cell98
| X170 = cell98
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X170 = cell97
| X171 = cell99
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X170 = cell97
| X171 = cell99
| X170 = cell99 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X170 = cell97
| X170 = cell98
| X171 = cell100 )
& ( ~ epred36_2(X171,X170)
| epred35_2(X171,X170)
| X170 = cell95
| X170 = cell96
| X170 = cell97
| X170 = cell98
| X170 = cell99 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_14,plain,
! [X4,X3] :
( epred35_2(X3,X4)
<=> ( ( X3 = cell95
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell91 )
| ( X3 = cell90
& X4 = cell89 )
| epred34_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_8,c_0_11]) ).
fof(c_0_15,plain,
! [X4,X3] :
( epred33_2(X3,X4)
<=> ( ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_16,plain,
( ~ epred36_2(X1,X2)
| north(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ epred35_2(X1,X2)
| epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X168,X169] :
( ( epred35_2(X169,X168)
| X169 != cell95
| X168 != cell94 )
& ( epred35_2(X169,X168)
| X169 != cell94
| X168 != cell93 )
& ( epred35_2(X169,X168)
| X169 != cell93
| X168 != cell92 )
& ( epred35_2(X169,X168)
| X169 != cell92
| X168 != cell91 )
& ( epred35_2(X169,X168)
| X169 != cell90
| X168 != cell89 )
& ( epred35_2(X169,X168)
| ~ epred34_2(X169,X168) )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X169 = cell93
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X169 = cell93
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X169 = cell93
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X169 = cell93
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X168 = cell92
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X168 = cell92
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X168 = cell92
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X169 = cell92
| X168 = cell92
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X169 = cell93
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X169 = cell93
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X169 = cell93
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X169 = cell93
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X168 = cell92
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X168 = cell92
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X168 = cell92
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X169 = cell90
| X168 = cell91
| X168 = cell92
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X169 = cell93
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X169 = cell93
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X169 = cell93
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X169 = cell93
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X168 = cell92
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X168 = cell92
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X168 = cell92
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X169 = cell92
| X168 = cell92
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X169 = cell93
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X169 = cell93
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X169 = cell93
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X169 = cell93
| X168 = cell93
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X168 = cell92
| X169 = cell94
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X168 = cell92
| X169 = cell94
| X168 = cell94 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X168 = cell92
| X168 = cell93
| X169 = cell95 )
& ( ~ epred35_2(X169,X168)
| epred34_2(X169,X168)
| X168 = cell89
| X168 = cell91
| X168 = cell92
| X168 = cell93
| X168 = cell94 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_19,plain,
! [X4,X3] :
( epred34_2(X3,X4)
<=> ( ( X3 = cell89
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell84 )
| epred33_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_11,c_0_15]) ).
fof(c_0_20,plain,
! [X4,X3] :
( epred32_2(X3,X4)
<=> ( ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_21,plain,
( ~ epred35_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ epred34_2(X1,X2)
| epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X166,X167] :
( ( epred34_2(X167,X166)
| X167 != cell89
| X166 != cell88 )
& ( epred34_2(X167,X166)
| X167 != cell88
| X166 != cell87 )
& ( epred34_2(X167,X166)
| X167 != cell87
| X166 != cell86 )
& ( epred34_2(X167,X166)
| X167 != cell86
| X166 != cell85 )
& ( epred34_2(X167,X166)
| X167 != cell85
| X166 != cell84 )
& ( epred34_2(X167,X166)
| ~ epred33_2(X167,X166) )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X167 = cell87
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X167 = cell87
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X167 = cell87
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X167 = cell87
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X166 = cell86
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X166 = cell86
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X166 = cell86
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X167 = cell86
| X166 = cell86
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X167 = cell87
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X167 = cell87
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X167 = cell87
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X167 = cell87
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X166 = cell86
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X166 = cell86
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X166 = cell86
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X167 = cell85
| X166 = cell85
| X166 = cell86
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X167 = cell87
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X167 = cell87
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X167 = cell87
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X167 = cell87
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X166 = cell86
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X166 = cell86
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X166 = cell86
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X167 = cell86
| X166 = cell86
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X167 = cell87
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X167 = cell87
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X167 = cell87
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X167 = cell87
| X166 = cell87
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X166 = cell86
| X167 = cell88
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X166 = cell86
| X167 = cell88
| X166 = cell88 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X166 = cell86
| X166 = cell87
| X167 = cell89 )
& ( ~ epred34_2(X167,X166)
| epred33_2(X167,X166)
| X166 = cell84
| X166 = cell85
| X166 = cell86
| X166 = cell87
| X166 = cell88 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_24,plain,
! [X4,X3] :
( epred33_2(X3,X4)
<=> ( ( X3 = cell84
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell81 )
| ( X3 = cell80
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell78 )
| epred32_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_20]) ).
fof(c_0_25,plain,
! [X4,X3] :
( epred31_2(X3,X4)
<=> ( ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_26,plain,
( ~ epred34_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( ~ epred33_2(X1,X2)
| epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X164,X165] :
( ( epred33_2(X165,X164)
| X165 != cell84
| X164 != cell83 )
& ( epred33_2(X165,X164)
| X165 != cell83
| X164 != cell82 )
& ( epred33_2(X165,X164)
| X165 != cell82
| X164 != cell81 )
& ( epred33_2(X165,X164)
| X165 != cell80
| X164 != cell79 )
& ( epred33_2(X165,X164)
| X165 != cell79
| X164 != cell78 )
& ( epred33_2(X165,X164)
| ~ epred32_2(X165,X164) )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X165 = cell82
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X165 = cell82
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X165 = cell82
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X165 = cell82
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X164 = cell81
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X164 = cell81
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X164 = cell81
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X165 = cell80
| X164 = cell81
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X165 = cell82
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X165 = cell82
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X165 = cell82
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X165 = cell82
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X164 = cell81
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X164 = cell81
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X164 = cell81
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X165 = cell79
| X164 = cell79
| X164 = cell81
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X165 = cell82
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X165 = cell82
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X165 = cell82
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X165 = cell82
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X164 = cell81
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X164 = cell81
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X164 = cell81
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X165 = cell80
| X164 = cell81
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X165 = cell82
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X165 = cell82
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X165 = cell82
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X165 = cell82
| X164 = cell82
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X164 = cell81
| X165 = cell83
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X164 = cell81
| X165 = cell83
| X164 = cell83 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X164 = cell81
| X164 = cell82
| X165 = cell84 )
& ( ~ epred33_2(X165,X164)
| epred32_2(X165,X164)
| X164 = cell78
| X164 = cell79
| X164 = cell81
| X164 = cell82
| X164 = cell83 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_29,plain,
! [X4,X3] :
( epred32_2(X3,X4)
<=> ( ( X3 = cell78
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell73 )
| epred31_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_20,c_0_25]) ).
fof(c_0_30,plain,
! [X4,X3] :
( epred30_2(X3,X4)
<=> ( ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_31,plain,
( ~ epred33_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ epred32_2(X1,X2)
| epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X162,X163] :
( ( epred32_2(X163,X162)
| X163 != cell78
| X162 != cell77 )
& ( epred32_2(X163,X162)
| X163 != cell77
| X162 != cell76 )
& ( epred32_2(X163,X162)
| X163 != cell76
| X162 != cell75 )
& ( epred32_2(X163,X162)
| X163 != cell75
| X162 != cell74 )
& ( epred32_2(X163,X162)
| X163 != cell74
| X162 != cell73 )
& ( epred32_2(X163,X162)
| ~ epred31_2(X163,X162) )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X163 = cell76
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X163 = cell76
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X163 = cell76
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X163 = cell76
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X162 = cell75
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X162 = cell75
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X162 = cell75
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X163 = cell75
| X162 = cell75
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X163 = cell76
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X163 = cell76
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X163 = cell76
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X163 = cell76
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X162 = cell75
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X162 = cell75
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X162 = cell75
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X163 = cell74
| X162 = cell74
| X162 = cell75
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X163 = cell76
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X163 = cell76
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X163 = cell76
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X163 = cell76
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X162 = cell75
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X162 = cell75
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X162 = cell75
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X163 = cell75
| X162 = cell75
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X163 = cell76
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X163 = cell76
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X163 = cell76
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X163 = cell76
| X162 = cell76
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X162 = cell75
| X163 = cell77
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X162 = cell75
| X163 = cell77
| X162 = cell77 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X162 = cell75
| X162 = cell76
| X163 = cell78 )
& ( ~ epred32_2(X163,X162)
| epred31_2(X163,X162)
| X162 = cell73
| X162 = cell74
| X162 = cell75
| X162 = cell76
| X162 = cell77 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_34,plain,
! [X4,X3] :
( epred31_2(X3,X4)
<=> ( ( X3 = cell73
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell71 )
| ( X3 = cell70
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell67 )
| epred30_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_30]) ).
fof(c_0_35,plain,
! [X4,X3] :
( epred29_2(X3,X4)
<=> ( ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_36,plain,
( ~ epred32_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( ~ epred31_2(X1,X2)
| epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X160,X161] :
( ( epred31_2(X161,X160)
| X161 != cell73
| X160 != cell72 )
& ( epred31_2(X161,X160)
| X161 != cell72
| X160 != cell71 )
& ( epred31_2(X161,X160)
| X161 != cell70
| X160 != cell69 )
& ( epred31_2(X161,X160)
| X161 != cell69
| X160 != cell68 )
& ( epred31_2(X161,X160)
| X161 != cell68
| X160 != cell67 )
& ( epred31_2(X161,X160)
| ~ epred30_2(X161,X160) )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X161 = cell70
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X161 = cell70
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X161 = cell70
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X161 = cell70
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X160 = cell69
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X160 = cell69
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X160 = cell69
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X161 = cell69
| X160 = cell69
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X161 = cell70
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X161 = cell70
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X161 = cell70
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X161 = cell70
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X160 = cell69
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X160 = cell69
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X160 = cell69
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X161 = cell68
| X160 = cell68
| X160 = cell69
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X161 = cell70
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X161 = cell70
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X161 = cell70
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X161 = cell70
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X160 = cell69
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X160 = cell69
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X160 = cell69
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X161 = cell69
| X160 = cell69
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X161 = cell70
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X161 = cell70
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X161 = cell70
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X161 = cell70
| X160 = cell71
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X160 = cell69
| X161 = cell72
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X160 = cell69
| X161 = cell72
| X160 = cell72 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X160 = cell69
| X160 = cell71
| X161 = cell73 )
& ( ~ epred31_2(X161,X160)
| epred30_2(X161,X160)
| X160 = cell67
| X160 = cell68
| X160 = cell69
| X160 = cell71
| X160 = cell72 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_39,plain,
! [X4,X3] :
( epred30_2(X3,X4)
<=> ( ( X3 = cell67
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell62 )
| epred29_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_30,c_0_35]) ).
fof(c_0_40,plain,
! [X4,X3] :
( epred28_2(X3,X4)
<=> ( ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_41,plain,
( ~ epred31_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( ~ epred30_2(X1,X2)
| epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X158,X159] :
( ( epred30_2(X159,X158)
| X159 != cell67
| X158 != cell66 )
& ( epred30_2(X159,X158)
| X159 != cell66
| X158 != cell65 )
& ( epred30_2(X159,X158)
| X159 != cell65
| X158 != cell64 )
& ( epred30_2(X159,X158)
| X159 != cell64
| X158 != cell63 )
& ( epred30_2(X159,X158)
| X159 != cell63
| X158 != cell62 )
& ( epred30_2(X159,X158)
| ~ epred29_2(X159,X158) )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X159 = cell65
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X159 = cell65
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X159 = cell65
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X159 = cell65
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X158 = cell64
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X158 = cell64
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X158 = cell64
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X159 = cell64
| X158 = cell64
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X159 = cell65
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X159 = cell65
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X159 = cell65
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X159 = cell65
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X158 = cell64
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X158 = cell64
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X158 = cell64
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X159 = cell63
| X158 = cell63
| X158 = cell64
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X159 = cell65
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X159 = cell65
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X159 = cell65
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X159 = cell65
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X158 = cell64
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X158 = cell64
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X158 = cell64
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X159 = cell64
| X158 = cell64
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X159 = cell65
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X159 = cell65
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X159 = cell65
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X159 = cell65
| X158 = cell65
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X158 = cell64
| X159 = cell66
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X158 = cell64
| X159 = cell66
| X158 = cell66 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X158 = cell64
| X158 = cell65
| X159 = cell67 )
& ( ~ epred30_2(X159,X158)
| epred29_2(X159,X158)
| X158 = cell62
| X158 = cell63
| X158 = cell64
| X158 = cell65
| X158 = cell66 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_44,plain,
! [X4,X3] :
( epred29_2(X3,X4)
<=> ( ( X3 = cell62
& X4 = cell61 )
| ( X3 = cell60
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell56 )
| epred28_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_35,c_0_40]) ).
fof(c_0_45,plain,
! [X4,X3] :
( epred27_2(X3,X4)
<=> ( ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_46,plain,
( ~ epred30_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
( ~ epred29_2(X1,X2)
| epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X156,X157] :
( ( epred29_2(X157,X156)
| X157 != cell62
| X156 != cell61 )
& ( epred29_2(X157,X156)
| X157 != cell60
| X156 != cell59 )
& ( epred29_2(X157,X156)
| X157 != cell59
| X156 != cell58 )
& ( epred29_2(X157,X156)
| X157 != cell58
| X156 != cell57 )
& ( epred29_2(X157,X156)
| X157 != cell57
| X156 != cell56 )
& ( epred29_2(X157,X156)
| ~ epred28_2(X157,X156) )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X157 = cell59
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X157 = cell59
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X157 = cell59
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X157 = cell59
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X156 = cell58
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X156 = cell58
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X156 = cell58
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X157 = cell58
| X156 = cell58
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X157 = cell59
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X157 = cell59
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X157 = cell59
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X157 = cell59
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X156 = cell58
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X156 = cell58
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X156 = cell58
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X157 = cell57
| X156 = cell57
| X156 = cell58
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X157 = cell59
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X157 = cell59
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X157 = cell59
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X157 = cell59
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X156 = cell58
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X156 = cell58
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X156 = cell58
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X157 = cell58
| X156 = cell58
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X157 = cell59
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X157 = cell59
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X157 = cell59
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X157 = cell59
| X156 = cell59
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X156 = cell58
| X157 = cell60
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X156 = cell58
| X157 = cell60
| X156 = cell61 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X156 = cell58
| X156 = cell59
| X157 = cell62 )
& ( ~ epred29_2(X157,X156)
| epred28_2(X157,X156)
| X156 = cell56
| X156 = cell57
| X156 = cell58
| X156 = cell59
| X156 = cell61 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_49,plain,
! [X4,X3] :
( epred28_2(X3,X4)
<=> ( ( X3 = cell56
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell51 )
| epred27_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_40,c_0_45]) ).
fof(c_0_50,plain,
! [X4,X3] :
( epred26_2(X3,X4)
<=> ( ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_51,plain,
( ~ epred29_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( ~ epred28_2(X1,X2)
| epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_53,plain,
! [X154,X155] :
( ( epred28_2(X155,X154)
| X155 != cell56
| X154 != cell55 )
& ( epred28_2(X155,X154)
| X155 != cell55
| X154 != cell54 )
& ( epred28_2(X155,X154)
| X155 != cell54
| X154 != cell53 )
& ( epred28_2(X155,X154)
| X155 != cell53
| X154 != cell52 )
& ( epred28_2(X155,X154)
| X155 != cell52
| X154 != cell51 )
& ( epred28_2(X155,X154)
| ~ epred27_2(X155,X154) )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X155 = cell54
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X155 = cell54
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X155 = cell54
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X155 = cell54
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X154 = cell53
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X154 = cell53
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X154 = cell53
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X155 = cell53
| X154 = cell53
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X155 = cell54
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X155 = cell54
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X155 = cell54
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X155 = cell54
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X154 = cell53
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X154 = cell53
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X154 = cell53
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X155 = cell52
| X154 = cell52
| X154 = cell53
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X155 = cell54
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X155 = cell54
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X155 = cell54
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X155 = cell54
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X154 = cell53
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X154 = cell53
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X154 = cell53
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X155 = cell53
| X154 = cell53
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X155 = cell54
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X155 = cell54
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X155 = cell54
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X155 = cell54
| X154 = cell54
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X154 = cell53
| X155 = cell55
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X154 = cell53
| X155 = cell55
| X154 = cell55 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X154 = cell53
| X154 = cell54
| X155 = cell56 )
& ( ~ epred28_2(X155,X154)
| epred27_2(X155,X154)
| X154 = cell51
| X154 = cell52
| X154 = cell53
| X154 = cell54
| X154 = cell55 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_54,plain,
! [X4,X3] :
( epred27_2(X3,X4)
<=> ( ( X3 = cell50
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell45 )
| epred26_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_45,c_0_50]) ).
fof(c_0_55,plain,
! [X4,X3] :
( epred25_2(X3,X4)
<=> ( ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_56,plain,
( ~ epred28_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( ~ epred27_2(X1,X2)
| epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_58,plain,
! [X152,X153] :
( ( epred27_2(X153,X152)
| X153 != cell50
| X152 != cell49 )
& ( epred27_2(X153,X152)
| X153 != cell49
| X152 != cell48 )
& ( epred27_2(X153,X152)
| X153 != cell48
| X152 != cell47 )
& ( epred27_2(X153,X152)
| X153 != cell47
| X152 != cell46 )
& ( epred27_2(X153,X152)
| X153 != cell46
| X152 != cell45 )
& ( epred27_2(X153,X152)
| ~ epred26_2(X153,X152) )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X153 = cell48
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X153 = cell48
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X153 = cell48
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X153 = cell48
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X152 = cell47
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X152 = cell47
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X152 = cell47
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X153 = cell47
| X152 = cell47
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X153 = cell48
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X153 = cell48
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X153 = cell48
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X153 = cell48
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X152 = cell47
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X152 = cell47
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X152 = cell47
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X153 = cell46
| X152 = cell46
| X152 = cell47
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X153 = cell48
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X153 = cell48
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X153 = cell48
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X153 = cell48
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X152 = cell47
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X152 = cell47
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X152 = cell47
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X153 = cell47
| X152 = cell47
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X153 = cell48
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X153 = cell48
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X153 = cell48
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X153 = cell48
| X152 = cell48
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X152 = cell47
| X153 = cell49
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X152 = cell47
| X153 = cell49
| X152 = cell49 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X152 = cell47
| X152 = cell48
| X153 = cell50 )
& ( ~ epred27_2(X153,X152)
| epred26_2(X153,X152)
| X152 = cell45
| X152 = cell46
| X152 = cell47
| X152 = cell48
| X152 = cell49 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).
fof(c_0_59,plain,
! [X4,X3] :
( epred26_2(X3,X4)
<=> ( ( X3 = cell45
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell41 )
| ( X3 = cell40
& X4 = cell39 )
| epred25_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_50,c_0_55]) ).
fof(c_0_60,plain,
! [X4,X3] :
( epred24_2(X3,X4)
<=> ( ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_61,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_62,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_63,plain,
( ~ epred27_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
( ~ epred26_2(X1,X2)
| epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_65,plain,
! [X150,X151] :
( ( epred26_2(X151,X150)
| X151 != cell45
| X150 != cell44 )
& ( epred26_2(X151,X150)
| X151 != cell44
| X150 != cell43 )
& ( epred26_2(X151,X150)
| X151 != cell43
| X150 != cell42 )
& ( epred26_2(X151,X150)
| X151 != cell42
| X150 != cell41 )
& ( epred26_2(X151,X150)
| X151 != cell40
| X150 != cell39 )
& ( epred26_2(X151,X150)
| ~ epred25_2(X151,X150) )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X151 = cell43
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X151 = cell43
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X151 = cell43
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X151 = cell43
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X150 = cell42
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X150 = cell42
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X150 = cell42
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X151 = cell42
| X150 = cell42
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X151 = cell43
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X151 = cell43
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X151 = cell43
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X151 = cell43
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X150 = cell42
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X150 = cell42
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X150 = cell42
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X151 = cell40
| X150 = cell41
| X150 = cell42
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X151 = cell43
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X151 = cell43
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X151 = cell43
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X151 = cell43
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X150 = cell42
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X150 = cell42
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X150 = cell42
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X151 = cell42
| X150 = cell42
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X151 = cell43
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X151 = cell43
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X151 = cell43
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X151 = cell43
| X150 = cell43
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X150 = cell42
| X151 = cell44
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X150 = cell42
| X151 = cell44
| X150 = cell44 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X150 = cell42
| X150 = cell43
| X151 = cell45 )
& ( ~ epred26_2(X151,X150)
| epred25_2(X151,X150)
| X150 = cell39
| X150 = cell41
| X150 = cell42
| X150 = cell43
| X150 = cell44 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
fof(c_0_66,plain,
! [X4,X3] :
( epred25_2(X3,X4)
<=> ( ( X3 = cell39
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell34 )
| epred24_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_55,c_0_60]) ).
fof(c_0_67,plain,
! [X4,X3] :
( epred23_2(X3,X4)
<=> ( ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_68,axiom,
! [X1,X2] :
( west(X2,X1)
<=> epred18_2(X1,X2) ),
inference(apply_def,[status(thm)],[tlhfof34975,c_0_61]) ).
fof(c_0_69,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| epred17_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_70,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_71,plain,
( ~ epred26_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
( ~ epred25_2(X1,X2)
| epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_73,plain,
! [X148,X149] :
( ( epred25_2(X149,X148)
| X149 != cell39
| X148 != cell38 )
& ( epred25_2(X149,X148)
| X149 != cell38
| X148 != cell37 )
& ( epred25_2(X149,X148)
| X149 != cell37
| X148 != cell36 )
& ( epred25_2(X149,X148)
| X149 != cell36
| X148 != cell35 )
& ( epred25_2(X149,X148)
| X149 != cell35
| X148 != cell34 )
& ( epred25_2(X149,X148)
| ~ epred24_2(X149,X148) )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X149 = cell37
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X149 = cell37
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X149 = cell37
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X149 = cell37
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X148 = cell36
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X148 = cell36
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X148 = cell36
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X149 = cell36
| X148 = cell36
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X149 = cell37
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X149 = cell37
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X149 = cell37
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X149 = cell37
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X148 = cell36
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X148 = cell36
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X148 = cell36
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X149 = cell35
| X148 = cell35
| X148 = cell36
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X149 = cell37
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X149 = cell37
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X149 = cell37
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X149 = cell37
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X148 = cell36
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X148 = cell36
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X148 = cell36
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X149 = cell36
| X148 = cell36
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X149 = cell37
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X149 = cell37
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X149 = cell37
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X149 = cell37
| X148 = cell37
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X148 = cell36
| X149 = cell38
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X148 = cell36
| X149 = cell38
| X148 = cell38 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X148 = cell36
| X148 = cell37
| X149 = cell39 )
& ( ~ epred25_2(X149,X148)
| epred24_2(X149,X148)
| X148 = cell34
| X148 = cell35
| X148 = cell36
| X148 = cell37
| X148 = cell38 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_74,plain,
! [X4,X3] :
( epred24_2(X3,X4)
<=> ( ( X3 = cell34
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell31 )
| ( X3 = cell30
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell28 )
| epred23_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_60,c_0_67]) ).
fof(c_0_75,plain,
! [X4,X3] :
( epred22_2(X3,X4)
<=> ( ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_76,plain,
! [X84,X85] :
( ( west(X85,X84)
| ~ epred18_2(X84,X85) )
& ( epred18_2(X84,X85)
| ~ west(X85,X84) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_77,plain,
! [X134,X135] :
( ( epred18_2(X135,X134)
| X135 != cell100
| X134 != cell90 )
& ( epred18_2(X135,X134)
| X135 != cell99
| X134 != cell89 )
& ( epred18_2(X135,X134)
| X135 != cell98
| X134 != cell88 )
& ( epred18_2(X135,X134)
| X135 != cell97
| X134 != cell87 )
& ( epred18_2(X135,X134)
| X135 != cell96
| X134 != cell86 )
& ( epred18_2(X135,X134)
| ~ epred17_2(X135,X134) )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X135 = cell98
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X135 = cell98
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X135 = cell98
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X135 = cell98
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X134 = cell88
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X134 = cell88
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X134 = cell88
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X135 = cell97
| X134 = cell88
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X135 = cell98
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X135 = cell98
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X135 = cell98
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X135 = cell98
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X134 = cell88
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X134 = cell88
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X134 = cell88
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X135 = cell96
| X134 = cell87
| X134 = cell88
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X135 = cell98
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X135 = cell98
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X135 = cell98
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X135 = cell98
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X134 = cell88
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X134 = cell88
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X134 = cell88
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X135 = cell97
| X134 = cell88
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X135 = cell98
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X135 = cell98
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X135 = cell98
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X135 = cell98
| X134 = cell89
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X134 = cell88
| X135 = cell99
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X134 = cell88
| X135 = cell99
| X134 = cell90 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X134 = cell88
| X134 = cell89
| X135 = cell100 )
& ( ~ epred18_2(X135,X134)
| epred17_2(X135,X134)
| X134 = cell86
| X134 = cell87
| X134 = cell88
| X134 = cell89
| X134 = cell90 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
fof(c_0_78,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| epred16_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_62,c_0_70]) ).
fof(c_0_79,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_80,plain,
( ~ epred25_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,plain,
( ~ epred24_2(X1,X2)
| epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_82,plain,
! [X146,X147] :
( ( epred24_2(X147,X146)
| X147 != cell34
| X146 != cell33 )
& ( epred24_2(X147,X146)
| X147 != cell33
| X146 != cell32 )
& ( epred24_2(X147,X146)
| X147 != cell32
| X146 != cell31 )
& ( epred24_2(X147,X146)
| X147 != cell30
| X146 != cell29 )
& ( epred24_2(X147,X146)
| X147 != cell29
| X146 != cell28 )
& ( epred24_2(X147,X146)
| ~ epred23_2(X147,X146) )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X147 = cell32
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X147 = cell32
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X147 = cell32
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X147 = cell32
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X146 = cell31
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X146 = cell31
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X146 = cell31
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X147 = cell30
| X146 = cell31
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X147 = cell32
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X147 = cell32
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X147 = cell32
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X147 = cell32
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X146 = cell31
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X146 = cell31
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X146 = cell31
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X147 = cell29
| X146 = cell29
| X146 = cell31
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X147 = cell32
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X147 = cell32
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X147 = cell32
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X147 = cell32
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X146 = cell31
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X146 = cell31
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X146 = cell31
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X147 = cell30
| X146 = cell31
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X147 = cell32
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X147 = cell32
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X147 = cell32
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X147 = cell32
| X146 = cell32
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X146 = cell31
| X147 = cell33
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X146 = cell31
| X147 = cell33
| X146 = cell33 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X146 = cell31
| X146 = cell32
| X147 = cell34 )
& ( ~ epred24_2(X147,X146)
| epred23_2(X147,X146)
| X146 = cell28
| X146 = cell29
| X146 = cell31
| X146 = cell32
| X146 = cell33 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).
fof(c_0_83,plain,
! [X4,X3] :
( epred23_2(X3,X4)
<=> ( ( X3 = cell28
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell23 )
| epred22_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_67,c_0_75]) ).
fof(c_0_84,plain,
! [X4,X3] :
( epred21_2(X3,X4)
<=> ( ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_85,plain,
( ~ epred18_2(X1,X2)
| west(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,plain,
( ~ epred17_2(X1,X2)
| epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_87,plain,
! [X132,X133] :
( ( epred17_2(X133,X132)
| X133 != cell95
| X132 != cell85 )
& ( epred17_2(X133,X132)
| X133 != cell94
| X132 != cell84 )
& ( epred17_2(X133,X132)
| X133 != cell93
| X132 != cell83 )
& ( epred17_2(X133,X132)
| X133 != cell92
| X132 != cell82 )
& ( epred17_2(X133,X132)
| X133 != cell91
| X132 != cell81 )
& ( epred17_2(X133,X132)
| ~ epred16_2(X133,X132) )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X133 = cell93
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X133 = cell93
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X133 = cell93
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X133 = cell93
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X132 = cell83
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X132 = cell83
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X132 = cell83
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X133 = cell92
| X132 = cell83
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X133 = cell93
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X133 = cell93
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X133 = cell93
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X133 = cell93
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X132 = cell83
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X132 = cell83
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X132 = cell83
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X133 = cell91
| X132 = cell82
| X132 = cell83
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X133 = cell93
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X133 = cell93
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X133 = cell93
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X133 = cell93
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X132 = cell83
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X132 = cell83
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X132 = cell83
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X133 = cell92
| X132 = cell83
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X133 = cell93
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X133 = cell93
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X133 = cell93
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X133 = cell93
| X132 = cell84
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X132 = cell83
| X133 = cell94
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X132 = cell83
| X133 = cell94
| X132 = cell85 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X132 = cell83
| X132 = cell84
| X133 = cell95 )
& ( ~ epred17_2(X133,X132)
| epred16_2(X133,X132)
| X132 = cell81
| X132 = cell82
| X132 = cell83
| X132 = cell84
| X132 = cell85 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
fof(c_0_88,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| epred15_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_70,c_0_79]) ).
fof(c_0_89,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_90,plain,
( ~ epred24_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_91,plain,
( ~ epred23_2(X1,X2)
| epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_92,plain,
! [X144,X145] :
( ( epred23_2(X145,X144)
| X145 != cell28
| X144 != cell27 )
& ( epred23_2(X145,X144)
| X145 != cell27
| X144 != cell26 )
& ( epred23_2(X145,X144)
| X145 != cell26
| X144 != cell25 )
& ( epred23_2(X145,X144)
| X145 != cell25
| X144 != cell24 )
& ( epred23_2(X145,X144)
| X145 != cell24
| X144 != cell23 )
& ( epred23_2(X145,X144)
| ~ epred22_2(X145,X144) )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X145 = cell26
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X145 = cell26
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X145 = cell26
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X145 = cell26
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X144 = cell25
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X144 = cell25
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X144 = cell25
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X145 = cell25
| X144 = cell25
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X145 = cell26
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X145 = cell26
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X145 = cell26
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X145 = cell26
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X144 = cell25
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X144 = cell25
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X144 = cell25
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X145 = cell24
| X144 = cell24
| X144 = cell25
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X145 = cell26
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X145 = cell26
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X145 = cell26
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X145 = cell26
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X144 = cell25
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X144 = cell25
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X144 = cell25
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X145 = cell25
| X144 = cell25
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X145 = cell26
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X145 = cell26
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X145 = cell26
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X145 = cell26
| X144 = cell26
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X144 = cell25
| X145 = cell27
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X144 = cell25
| X145 = cell27
| X144 = cell27 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X144 = cell25
| X144 = cell26
| X145 = cell28 )
& ( ~ epred23_2(X145,X144)
| epred22_2(X145,X144)
| X144 = cell23
| X144 = cell24
| X144 = cell25
| X144 = cell26
| X144 = cell27 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])]) ).
fof(c_0_93,plain,
! [X4,X3] :
( epred22_2(X3,X4)
<=> ( ( X3 = cell23
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell21 )
| ( X3 = cell20
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell17 )
| epred21_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_75,c_0_84]) ).
fof(c_0_94,plain,
! [X4,X3] :
( epred20_2(X3,X4)
<=> ( ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_95,plain,
! [X4,X3] :
( epred19_2(X3,X4)
<=> ( ( X3 = cell6
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_96,plain,
( ~ epred17_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,plain,
( ~ epred16_2(X1,X2)
| epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_98,plain,
! [X130,X131] :
( ( epred16_2(X131,X130)
| X131 != cell90
| X130 != cell80 )
& ( epred16_2(X131,X130)
| X131 != cell89
| X130 != cell79 )
& ( epred16_2(X131,X130)
| X131 != cell88
| X130 != cell78 )
& ( epred16_2(X131,X130)
| X131 != cell87
| X130 != cell77 )
& ( epred16_2(X131,X130)
| X131 != cell86
| X130 != cell76 )
& ( epred16_2(X131,X130)
| ~ epred15_2(X131,X130) )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X131 = cell88
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X131 = cell88
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X131 = cell88
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X131 = cell88
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X130 = cell78
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X130 = cell78
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X130 = cell78
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X131 = cell87
| X130 = cell78
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X131 = cell88
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X131 = cell88
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X131 = cell88
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X131 = cell88
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X130 = cell78
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X130 = cell78
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X130 = cell78
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X131 = cell86
| X130 = cell77
| X130 = cell78
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X131 = cell88
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X131 = cell88
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X131 = cell88
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X131 = cell88
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X130 = cell78
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X130 = cell78
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X130 = cell78
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X131 = cell87
| X130 = cell78
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X131 = cell88
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X131 = cell88
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X131 = cell88
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X131 = cell88
| X130 = cell79
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X130 = cell78
| X131 = cell89
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X130 = cell78
| X131 = cell89
| X130 = cell80 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X130 = cell78
| X130 = cell79
| X131 = cell90 )
& ( ~ epred16_2(X131,X130)
| epred15_2(X131,X130)
| X130 = cell76
| X130 = cell77
| X130 = cell78
| X130 = cell79
| X130 = cell80 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).
fof(c_0_99,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| epred14_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_79,c_0_89]) ).
fof(c_0_100,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_101,plain,
( ~ epred23_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
( ~ epred22_2(X1,X2)
| epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_103,plain,
! [X142,X143] :
( ( epred22_2(X143,X142)
| X143 != cell23
| X142 != cell22 )
& ( epred22_2(X143,X142)
| X143 != cell22
| X142 != cell21 )
& ( epred22_2(X143,X142)
| X143 != cell20
| X142 != cell19 )
& ( epred22_2(X143,X142)
| X143 != cell19
| X142 != cell18 )
& ( epred22_2(X143,X142)
| X143 != cell18
| X142 != cell17 )
& ( epred22_2(X143,X142)
| ~ epred21_2(X143,X142) )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X143 = cell20
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X143 = cell20
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X143 = cell20
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X143 = cell20
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X142 = cell19
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X142 = cell19
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X142 = cell19
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X143 = cell19
| X142 = cell19
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X143 = cell20
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X143 = cell20
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X143 = cell20
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X143 = cell20
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X142 = cell19
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X142 = cell19
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X142 = cell19
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X143 = cell18
| X142 = cell18
| X142 = cell19
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X143 = cell20
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X143 = cell20
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X143 = cell20
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X143 = cell20
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X142 = cell19
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X142 = cell19
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X142 = cell19
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X143 = cell19
| X142 = cell19
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X143 = cell20
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X143 = cell20
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X143 = cell20
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X143 = cell20
| X142 = cell21
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X142 = cell19
| X143 = cell22
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X142 = cell19
| X143 = cell22
| X142 = cell22 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X142 = cell19
| X142 = cell21
| X143 = cell23 )
& ( ~ epred22_2(X143,X142)
| epred21_2(X143,X142)
| X142 = cell17
| X142 = cell18
| X142 = cell19
| X142 = cell21
| X142 = cell22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
fof(c_0_104,plain,
! [X4,X3] :
( epred21_2(X3,X4)
<=> ( ( X3 = cell17
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell12 )
| epred20_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_84,c_0_94]) ).
fof(c_0_105,plain,
! [X4,X3] :
( epred20_2(X3,X4)
<=> ( ( X3 = cell12
& X4 = cell11 )
| ( X3 = cell10
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell6 )
| epred19_2(X3,X4) ) ),
inference(apply_def,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_106,plain,
( ~ epred16_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,plain,
( ~ epred15_2(X1,X2)
| epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_108,plain,
! [X128,X129] :
( ( epred15_2(X129,X128)
| X129 != cell85
| X128 != cell75 )
& ( epred15_2(X129,X128)
| X129 != cell84
| X128 != cell74 )
& ( epred15_2(X129,X128)
| X129 != cell83
| X128 != cell73 )
& ( epred15_2(X129,X128)
| X129 != cell82
| X128 != cell72 )
& ( epred15_2(X129,X128)
| X129 != cell81
| X128 != cell71 )
& ( epred15_2(X129,X128)
| ~ epred14_2(X129,X128) )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X129 = cell83
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X129 = cell83
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X129 = cell83
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X129 = cell83
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X128 = cell73
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X128 = cell73
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X128 = cell73
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X129 = cell82
| X128 = cell73
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X129 = cell83
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X129 = cell83
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X129 = cell83
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X129 = cell83
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X128 = cell73
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X128 = cell73
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X128 = cell73
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X129 = cell81
| X128 = cell72
| X128 = cell73
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X129 = cell83
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X129 = cell83
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X129 = cell83
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X129 = cell83
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X128 = cell73
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X128 = cell73
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X128 = cell73
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X129 = cell82
| X128 = cell73
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X129 = cell83
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X129 = cell83
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X129 = cell83
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X129 = cell83
| X128 = cell74
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X128 = cell73
| X129 = cell84
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X128 = cell73
| X129 = cell84
| X128 = cell75 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X128 = cell73
| X128 = cell74
| X129 = cell85 )
& ( ~ epred15_2(X129,X128)
| epred14_2(X129,X128)
| X128 = cell71
| X128 = cell72
| X128 = cell73
| X128 = cell74
| X128 = cell75 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])]) ).
fof(c_0_109,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| epred13_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_89,c_0_100]) ).
fof(c_0_110,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_111,plain,
! [X44,X43] :
( epred42_2(X43,X44)
<=> ( ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X80,X43)
& north(X79,X80)
& north(X78,X79)
& north(X77,X78)
& north(X76,X77)
& north(X75,X76)
& north(X74,X75)
& north(X73,X74)
& north(X44,X73) )
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X72,X43)
& north(X71,X72)
& north(X70,X71)
& north(X69,X70)
& north(X68,X69)
& north(X67,X68)
& north(X66,X67)
& north(X44,X66) )
| ? [X60,X61,X62,X63,X64,X65] :
( north(X65,X43)
& north(X64,X65)
& north(X63,X64)
& north(X62,X63)
& north(X61,X62)
& north(X60,X61)
& north(X44,X60) )
| ? [X55,X56,X57,X58,X59] :
( north(X59,X43)
& north(X58,X59)
& north(X57,X58)
& north(X56,X57)
& north(X55,X56)
& north(X44,X55) )
| ? [X51,X52,X53,X54] :
( north(X54,X43)
& north(X53,X54)
& north(X52,X53)
& north(X51,X52)
& north(X44,X51) )
| ? [X48,X49,X50] :
( north(X50,X43)
& north(X49,X50)
& north(X48,X49)
& north(X44,X48) )
| ? [X46,X47] :
( north(X47,X43)
& north(X46,X47)
& north(X44,X46) )
| ? [X45] :
( north(X45,X43)
& north(X44,X45) )
| north(X44,X43) ) ),
introduced(definition) ).
fof(c_0_112,plain,
! [X44,X43] :
( epred41_2(X43,X44)
<=> ( ? [X60,X61,X62,X63,X64,X65] :
( north(X65,X43)
& north(X64,X65)
& north(X63,X64)
& north(X62,X63)
& north(X61,X62)
& north(X60,X61)
& north(X44,X60) )
| ? [X55,X56,X57,X58,X59] :
( north(X59,X43)
& north(X58,X59)
& north(X57,X58)
& north(X56,X57)
& north(X55,X56)
& north(X44,X55) )
| ? [X51,X52,X53,X54] :
( north(X54,X43)
& north(X53,X54)
& north(X52,X53)
& north(X51,X52)
& north(X44,X51) )
| ? [X48,X49,X50] :
( north(X50,X43)
& north(X49,X50)
& north(X48,X49)
& north(X44,X48) )
| ? [X46,X47] :
( north(X47,X43)
& north(X46,X47)
& north(X44,X46) )
| ? [X45] :
( north(X45,X43)
& north(X44,X45) )
| north(X44,X43) ) ),
introduced(definition) ).
cnf(c_0_113,plain,
( ~ epred22_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( ~ epred21_2(X1,X2)
| epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_115,plain,
! [X140,X141] :
( ( epred21_2(X141,X140)
| X141 != cell17
| X140 != cell16 )
& ( epred21_2(X141,X140)
| X141 != cell16
| X140 != cell15 )
& ( epred21_2(X141,X140)
| X141 != cell15
| X140 != cell14 )
& ( epred21_2(X141,X140)
| X141 != cell14
| X140 != cell13 )
& ( epred21_2(X141,X140)
| X141 != cell13
| X140 != cell12 )
& ( epred21_2(X141,X140)
| ~ epred20_2(X141,X140) )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X141 = cell15
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X141 = cell15
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X141 = cell15
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X141 = cell15
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X140 = cell14
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X140 = cell14
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X140 = cell14
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X141 = cell14
| X140 = cell14
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X141 = cell15
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X141 = cell15
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X141 = cell15
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X141 = cell15
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X140 = cell14
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X140 = cell14
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X140 = cell14
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X141 = cell13
| X140 = cell13
| X140 = cell14
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X141 = cell15
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X141 = cell15
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X141 = cell15
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X141 = cell15
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X140 = cell14
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X140 = cell14
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X140 = cell14
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X141 = cell14
| X140 = cell14
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X141 = cell15
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X141 = cell15
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X141 = cell15
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X141 = cell15
| X140 = cell15
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X140 = cell14
| X141 = cell16
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X140 = cell14
| X141 = cell16
| X140 = cell16 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X140 = cell14
| X140 = cell15
| X141 = cell17 )
& ( ~ epred21_2(X141,X140)
| epred20_2(X141,X140)
| X140 = cell12
| X140 = cell13
| X140 = cell14
| X140 = cell15
| X140 = cell16 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])])]) ).
fof(c_0_116,plain,
! [X138,X139] :
( ( epred20_2(X139,X138)
| X139 != cell12
| X138 != cell11 )
& ( epred20_2(X139,X138)
| X139 != cell10
| X138 != cell9 )
& ( epred20_2(X139,X138)
| X139 != cell9
| X138 != cell8 )
& ( epred20_2(X139,X138)
| X139 != cell8
| X138 != cell7 )
& ( epred20_2(X139,X138)
| X139 != cell7
| X138 != cell6 )
& ( epred20_2(X139,X138)
| ~ epred19_2(X139,X138) )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X139 = cell9
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X139 = cell9
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X139 = cell9
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X139 = cell9
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X138 = cell8
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X138 = cell8
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X138 = cell8
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X139 = cell8
| X138 = cell8
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X139 = cell9
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X139 = cell9
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X139 = cell9
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X139 = cell9
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X138 = cell8
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X138 = cell8
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X138 = cell8
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X139 = cell7
| X138 = cell7
| X138 = cell8
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X139 = cell9
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X139 = cell9
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X139 = cell9
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X139 = cell9
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X138 = cell8
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X138 = cell8
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X138 = cell8
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X139 = cell8
| X138 = cell8
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X139 = cell9
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X139 = cell9
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X139 = cell9
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X139 = cell9
| X138 = cell9
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X138 = cell8
| X139 = cell10
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X138 = cell8
| X139 = cell10
| X138 = cell11 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X138 = cell8
| X138 = cell9
| X139 = cell12 )
& ( ~ epred20_2(X139,X138)
| epred19_2(X139,X138)
| X138 = cell6
| X138 = cell7
| X138 = cell8
| X138 = cell9
| X138 = cell11 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])])]) ).
cnf(c_0_117,plain,
( ~ epred15_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,plain,
( ~ epred14_2(X1,X2)
| epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
fof(c_0_119,plain,
! [X126,X127] :
( ( epred14_2(X127,X126)
| X127 != cell80
| X126 != cell70 )
& ( epred14_2(X127,X126)
| X127 != cell79
| X126 != cell69 )
& ( epred14_2(X127,X126)
| X127 != cell78
| X126 != cell68 )
& ( epred14_2(X127,X126)
| X127 != cell77
| X126 != cell67 )
& ( epred14_2(X127,X126)
| X127 != cell76
| X126 != cell66 )
& ( epred14_2(X127,X126)
| ~ epred13_2(X127,X126) )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X127 = cell78
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X127 = cell78
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X127 = cell78
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X127 = cell78
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X126 = cell68
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X126 = cell68
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X126 = cell68
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X127 = cell77
| X126 = cell68
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X127 = cell78
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X127 = cell78
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X127 = cell78
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X127 = cell78
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X126 = cell68
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X126 = cell68
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X126 = cell68
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X127 = cell76
| X126 = cell67
| X126 = cell68
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X127 = cell78
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X127 = cell78
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X127 = cell78
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X127 = cell78
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X126 = cell68
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X126 = cell68
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X126 = cell68
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X127 = cell77
| X126 = cell68
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X127 = cell78
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X127 = cell78
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X127 = cell78
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X127 = cell78
| X126 = cell69
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X126 = cell68
| X127 = cell79
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X126 = cell68
| X127 = cell79
| X126 = cell70 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X126 = cell68
| X126 = cell69
| X127 = cell80 )
& ( ~ epred14_2(X127,X126)
| epred13_2(X127,X126)
| X126 = cell66
| X126 = cell67
| X126 = cell68
| X126 = cell69
| X126 = cell70 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])])]) ).
fof(c_0_120,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| epred12_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_100,c_0_110]) ).
fof(c_0_121,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_122,plain,
! [X44,X43] :
( epred42_2(X43,X44)
<=> ( ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X80,X43)
& north(X79,X80)
& north(X78,X79)
& north(X77,X78)
& north(X76,X77)
& north(X75,X76)
& north(X74,X75)
& north(X73,X74)
& north(X44,X73) )
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X72,X43)
& north(X71,X72)
& north(X70,X71)
& north(X69,X70)
& north(X68,X69)
& north(X67,X68)
& north(X66,X67)
& north(X44,X66) )
| epred41_2(X43,X44) ) ),
inference(apply_def,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_123,plain,
( ~ epred21_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
( ~ epred20_2(X1,X2)
| epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_125,plain,
( X2 != cell10
| X1 != cell9
| epred20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_126,plain,
( ~ epred14_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( ~ epred13_2(X1,X2)
| epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_128,plain,
! [X124,X125] :
( ( epred13_2(X125,X124)
| X125 != cell75
| X124 != cell65 )
& ( epred13_2(X125,X124)
| X125 != cell74
| X124 != cell64 )
& ( epred13_2(X125,X124)
| X125 != cell73
| X124 != cell63 )
& ( epred13_2(X125,X124)
| X125 != cell72
| X124 != cell62 )
& ( epred13_2(X125,X124)
| X125 != cell71
| X124 != cell61 )
& ( epred13_2(X125,X124)
| ~ epred12_2(X125,X124) )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X125 = cell73
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X125 = cell73
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X125 = cell73
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X125 = cell73
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X124 = cell63
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X124 = cell63
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X124 = cell63
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X125 = cell72
| X124 = cell63
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X125 = cell73
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X125 = cell73
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X125 = cell73
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X125 = cell73
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X124 = cell63
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X124 = cell63
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X124 = cell63
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X125 = cell71
| X124 = cell62
| X124 = cell63
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X125 = cell73
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X125 = cell73
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X125 = cell73
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X125 = cell73
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X124 = cell63
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X124 = cell63
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X124 = cell63
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X125 = cell72
| X124 = cell63
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X125 = cell73
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X125 = cell73
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X125 = cell73
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X125 = cell73
| X124 = cell64
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X124 = cell63
| X125 = cell74
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X124 = cell63
| X125 = cell74
| X124 = cell65 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X124 = cell63
| X124 = cell64
| X125 = cell75 )
& ( ~ epred13_2(X125,X124)
| epred12_2(X125,X124)
| X124 = cell61
| X124 = cell62
| X124 = cell63
| X124 = cell64
| X124 = cell65 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])]) ).
fof(c_0_129,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| epred11_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_110,c_0_121]) ).
fof(c_0_130,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_131,plain,
! [X306,X307,X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339] :
( ( epred42_2(X324,X323)
| ~ north(X339,X324)
| ~ north(X338,X339)
| ~ north(X337,X338)
| ~ north(X336,X337)
| ~ north(X335,X336)
| ~ north(X334,X335)
| ~ north(X333,X334)
| ~ north(X332,X333)
| ~ north(X323,X332) )
& ( epred42_2(X324,X323)
| ~ north(X331,X324)
| ~ north(X330,X331)
| ~ north(X329,X330)
| ~ north(X328,X329)
| ~ north(X327,X328)
| ~ north(X326,X327)
| ~ north(X325,X326)
| ~ north(X323,X325) )
& ( epred42_2(X324,X323)
| ~ epred41_2(X324,X323) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk65_2(X306,X307),X307)
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk64_2(X306,X307),esk65_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk63_2(X306,X307),esk64_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk62_2(X306,X307),esk63_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk61_2(X306,X307),esk62_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk60_2(X306,X307),esk61_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(esk59_2(X306,X307),esk60_2(X306,X307))
| north(X306,esk66_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk73_2(X306,X307),X307) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk72_2(X306,X307),esk73_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk71_2(X306,X307),esk72_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk70_2(X306,X307),esk71_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk69_2(X306,X307),esk70_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk68_2(X306,X307),esk69_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk67_2(X306,X307),esk68_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(esk66_2(X306,X307),esk67_2(X306,X307)) )
& ( ~ epred42_2(X307,X306)
| epred41_2(X307,X306)
| north(X306,esk59_2(X306,X307))
| north(X306,esk66_2(X306,X307)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])])])])]) ).
cnf(c_0_132,plain,
( ~ epred20_2(X2,X1)
| north(X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_133,plain,
epred20_2(cell10,cell9),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_125])]) ).
cnf(c_0_134,plain,
( X2 != cell9
| X1 != cell8
| epred20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_135,plain,
( ~ epred13_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,plain,
( ~ epred12_2(X1,X2)
| epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
fof(c_0_137,plain,
! [X122,X123] :
( ( epred12_2(X123,X122)
| X123 != cell70
| X122 != cell60 )
& ( epred12_2(X123,X122)
| X123 != cell69
| X122 != cell59 )
& ( epred12_2(X123,X122)
| X123 != cell68
| X122 != cell58 )
& ( epred12_2(X123,X122)
| X123 != cell67
| X122 != cell57 )
& ( epred12_2(X123,X122)
| X123 != cell66
| X122 != cell56 )
& ( epred12_2(X123,X122)
| ~ epred11_2(X123,X122) )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X123 = cell68
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X123 = cell68
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X123 = cell68
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X123 = cell68
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X122 = cell58
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X122 = cell58
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X122 = cell58
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X123 = cell67
| X122 = cell58
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X123 = cell68
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X123 = cell68
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X123 = cell68
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X123 = cell68
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X122 = cell58
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X122 = cell58
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X122 = cell58
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X123 = cell66
| X122 = cell57
| X122 = cell58
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X123 = cell68
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X123 = cell68
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X123 = cell68
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X123 = cell68
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X122 = cell58
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X122 = cell58
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X122 = cell58
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X123 = cell67
| X122 = cell58
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X123 = cell68
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X123 = cell68
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X123 = cell68
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X123 = cell68
| X122 = cell59
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X122 = cell58
| X123 = cell69
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X122 = cell58
| X123 = cell69
| X122 = cell60 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X122 = cell58
| X122 = cell59
| X123 = cell70 )
& ( ~ epred12_2(X123,X122)
| epred11_2(X123,X122)
| X122 = cell56
| X122 = cell57
| X122 = cell58
| X122 = cell59
| X122 = cell60 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])])])]) ).
fof(c_0_138,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| epred10_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_121,c_0_130]) ).
fof(c_0_139,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_140,plain,
( ~ north(X9,X10)
| ~ north(X8,X9)
| ~ north(X7,X8)
| ~ north(X6,X7)
| ~ north(X5,X6)
| ~ north(X4,X5)
| ~ north(X3,X4)
| ~ north(X2,X3)
| ~ north(X1,X2)
| epred42_2(X10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_141,plain,
north(cell9,cell10),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_142,plain,
epred20_2(cell9,cell8),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_134])]) ).
cnf(c_0_143,plain,
( X2 != cell8
| X1 != cell7
| epred20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_144,plain,
! [X136,X137] :
( ( epred19_2(X137,X136)
| X137 != cell6
| X136 != cell5 )
& ( epred19_2(X137,X136)
| X137 != cell5
| X136 != cell4 )
& ( epred19_2(X137,X136)
| X137 != cell4
| X136 != cell3 )
& ( epred19_2(X137,X136)
| X137 != cell3
| X136 != cell2 )
& ( epred19_2(X137,X136)
| X137 != cell2
| X136 != cell1 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X137 = cell4
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X137 = cell4
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X137 = cell4
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X137 = cell4
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X136 = cell3
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X136 = cell3
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X136 = cell3
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X137 = cell3
| X136 = cell3
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X137 = cell4
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X137 = cell4
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X137 = cell4
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X137 = cell4
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X136 = cell3
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X136 = cell3
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X136 = cell3
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X137 = cell2
| X136 = cell2
| X136 = cell3
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X137 = cell4
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X137 = cell4
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X137 = cell4
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X137 = cell4
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X136 = cell3
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X136 = cell3
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X136 = cell3
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X137 = cell3
| X136 = cell3
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X137 = cell4
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X137 = cell4
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X137 = cell4
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X137 = cell4
| X136 = cell4
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X136 = cell3
| X137 = cell5
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X136 = cell3
| X137 = cell5
| X136 = cell5 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X136 = cell3
| X136 = cell4
| X137 = cell6 )
& ( ~ epred19_2(X137,X136)
| X136 = cell1
| X136 = cell2
| X136 = cell3
| X136 = cell4
| X136 = cell5 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])]) ).
fof(c_0_145,plain,
! [X6,X5] :
( epred39_2(X5,X6)
<=> ( ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X42,X5)
& west(X41,X42)
& west(X40,X41)
& west(X39,X40)
& west(X38,X39)
& west(X37,X38)
& west(X36,X37)
& west(X35,X36)
& west(X6,X35) )
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X34,X5)
& west(X33,X34)
& west(X32,X33)
& west(X31,X32)
& west(X30,X31)
& west(X29,X30)
& west(X28,X29)
& west(X6,X28) )
| ? [X22,X23,X24,X25,X26,X27] :
( west(X27,X5)
& west(X26,X27)
& west(X25,X26)
& west(X24,X25)
& west(X23,X24)
& west(X22,X23)
& west(X6,X22) )
| ? [X17,X18,X19,X20,X21] :
( west(X21,X5)
& west(X20,X21)
& west(X19,X20)
& west(X18,X19)
& west(X17,X18)
& west(X6,X17) )
| ? [X13,X14,X15,X16] :
( west(X16,X5)
& west(X15,X16)
& west(X14,X15)
& west(X13,X14)
& west(X6,X13) )
| ? [X10,X11,X12] :
( west(X12,X5)
& west(X11,X12)
& west(X10,X11)
& west(X6,X10) )
| ? [X8,X9] :
( west(X9,X5)
& west(X8,X9)
& west(X6,X8) )
| ? [X7] :
( west(X7,X5)
& west(X6,X7) )
| west(X6,X5) ) ),
introduced(definition) ).
fof(c_0_146,plain,
! [X6,X5] :
( epred38_2(X5,X6)
<=> ( ? [X22,X23,X24,X25,X26,X27] :
( west(X27,X5)
& west(X26,X27)
& west(X25,X26)
& west(X24,X25)
& west(X23,X24)
& west(X22,X23)
& west(X6,X22) )
| ? [X17,X18,X19,X20,X21] :
( west(X21,X5)
& west(X20,X21)
& west(X19,X20)
& west(X18,X19)
& west(X17,X18)
& west(X6,X17) )
| ? [X13,X14,X15,X16] :
( west(X16,X5)
& west(X15,X16)
& west(X14,X15)
& west(X13,X14)
& west(X6,X13) )
| ? [X10,X11,X12] :
( west(X12,X5)
& west(X11,X12)
& west(X10,X11)
& west(X6,X10) )
| ? [X8,X9] :
( west(X9,X5)
& west(X8,X9)
& west(X6,X8) )
| ? [X7] :
( west(X7,X5)
& west(X6,X7) )
| west(X6,X5) ) ),
introduced(definition) ).
cnf(c_0_147,plain,
( ~ epred12_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_148,plain,
( ~ epred11_2(X1,X2)
| epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
fof(c_0_149,plain,
! [X120,X121] :
( ( epred11_2(X121,X120)
| X121 != cell65
| X120 != cell55 )
& ( epred11_2(X121,X120)
| X121 != cell64
| X120 != cell54 )
& ( epred11_2(X121,X120)
| X121 != cell63
| X120 != cell53 )
& ( epred11_2(X121,X120)
| X121 != cell62
| X120 != cell52 )
& ( epred11_2(X121,X120)
| X121 != cell61
| X120 != cell51 )
& ( epred11_2(X121,X120)
| ~ epred10_2(X121,X120) )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X121 = cell63
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X121 = cell63
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X121 = cell63
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X121 = cell63
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X120 = cell53
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X120 = cell53
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X120 = cell53
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X121 = cell62
| X120 = cell53
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X121 = cell63
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X121 = cell63
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X121 = cell63
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X121 = cell63
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X120 = cell53
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X120 = cell53
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X120 = cell53
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X121 = cell61
| X120 = cell52
| X120 = cell53
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X121 = cell63
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X121 = cell63
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X121 = cell63
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X121 = cell63
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X120 = cell53
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X120 = cell53
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X120 = cell53
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X121 = cell62
| X120 = cell53
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X121 = cell63
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X121 = cell63
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X121 = cell63
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X121 = cell63
| X120 = cell54
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X120 = cell53
| X121 = cell64
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X120 = cell53
| X121 = cell64
| X120 = cell55 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X120 = cell53
| X120 = cell54
| X121 = cell65 )
& ( ~ epred11_2(X121,X120)
| epred10_2(X121,X120)
| X120 = cell51
| X120 = cell52
| X120 = cell53
| X120 = cell54
| X120 = cell55 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])])]) ).
fof(c_0_150,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| epred9_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_130,c_0_139]) ).
fof(c_0_151,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_152,plain,
( ~ north(X1,X8)
| ~ north(X8,X7)
| ~ north(X7,X6)
| ~ north(X6,X5)
| ~ north(X5,X4)
| ~ north(X4,X3)
| ~ north(X3,X2)
| ~ north(X2,cell9)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_153,plain,
north(cell8,cell9),
inference(spm,[status(thm)],[c_0_132,c_0_142]) ).
cnf(c_0_154,plain,
epred20_2(cell8,cell7),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])]) ).
cnf(c_0_155,plain,
( X2 != cell7
| X1 != cell6
| epred20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_156,plain,
( X2 != cell6
| X1 != cell5
| epred19_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_157,plain,
! [X6,X5] :
( epred39_2(X5,X6)
<=> ( ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X42,X5)
& west(X41,X42)
& west(X40,X41)
& west(X39,X40)
& west(X38,X39)
& west(X37,X38)
& west(X36,X37)
& west(X35,X36)
& west(X6,X35) )
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X34,X5)
& west(X33,X34)
& west(X32,X33)
& west(X31,X32)
& west(X30,X31)
& west(X29,X30)
& west(X28,X29)
& west(X6,X28) )
| epred38_2(X5,X6) ) ),
inference(apply_def,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_158,plain,
( X2 != cell100
| X1 != cell90
| epred18_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_159,plain,
( ~ epred11_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_160,plain,
( ~ epred10_2(X1,X2)
| epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
fof(c_0_161,plain,
! [X118,X119] :
( ( epred10_2(X119,X118)
| X119 != cell60
| X118 != cell50 )
& ( epred10_2(X119,X118)
| X119 != cell59
| X118 != cell49 )
& ( epred10_2(X119,X118)
| X119 != cell58
| X118 != cell48 )
& ( epred10_2(X119,X118)
| X119 != cell57
| X118 != cell47 )
& ( epred10_2(X119,X118)
| X119 != cell56
| X118 != cell46 )
& ( epred10_2(X119,X118)
| ~ epred9_2(X119,X118) )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X119 = cell58
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X119 = cell58
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X119 = cell58
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X119 = cell58
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X118 = cell48
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X118 = cell48
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X118 = cell48
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X119 = cell57
| X118 = cell48
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X119 = cell58
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X119 = cell58
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X119 = cell58
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X119 = cell58
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X118 = cell48
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X118 = cell48
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X118 = cell48
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X119 = cell56
| X118 = cell47
| X118 = cell48
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X119 = cell58
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X119 = cell58
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X119 = cell58
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X119 = cell58
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X118 = cell48
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X118 = cell48
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X118 = cell48
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X119 = cell57
| X118 = cell48
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X119 = cell58
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X119 = cell58
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X119 = cell58
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X119 = cell58
| X118 = cell49
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X118 = cell48
| X119 = cell59
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X118 = cell48
| X119 = cell59
| X118 = cell50 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X118 = cell48
| X118 = cell49
| X119 = cell60 )
& ( ~ epred10_2(X119,X118)
| epred9_2(X119,X118)
| X118 = cell46
| X118 = cell47
| X118 = cell48
| X118 = cell49
| X118 = cell50 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_150])])])]) ).
fof(c_0_162,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| epred8_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_139,c_0_151]) ).
fof(c_0_163,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_164,plain,
( ~ north(X1,X7)
| ~ north(X7,X6)
| ~ north(X6,X5)
| ~ north(X5,X4)
| ~ north(X4,X3)
| ~ north(X3,X2)
| ~ north(X2,cell8)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_165,plain,
north(cell7,cell8),
inference(spm,[status(thm)],[c_0_132,c_0_154]) ).
cnf(c_0_166,plain,
epred20_2(cell7,cell6),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_155])]) ).
cnf(c_0_167,plain,
( ~ epred19_2(X1,X2)
| epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_168,plain,
epred19_2(cell6,cell5),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_156])]) ).
cnf(c_0_169,plain,
( X2 != cell5
| X1 != cell4
| epred19_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_170,plain,
! [X222,X223,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255] :
( ( epred39_2(X240,X239)
| ~ west(X255,X240)
| ~ west(X254,X255)
| ~ west(X253,X254)
| ~ west(X252,X253)
| ~ west(X251,X252)
| ~ west(X250,X251)
| ~ west(X249,X250)
| ~ west(X248,X249)
| ~ west(X239,X248) )
& ( epred39_2(X240,X239)
| ~ west(X247,X240)
| ~ west(X246,X247)
| ~ west(X245,X246)
| ~ west(X244,X245)
| ~ west(X243,X244)
| ~ west(X242,X243)
| ~ west(X241,X242)
| ~ west(X239,X241) )
& ( epred39_2(X240,X239)
| ~ epred38_2(X240,X239) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk29_2(X222,X223),X223)
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk28_2(X222,X223),esk29_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk27_2(X222,X223),esk28_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk26_2(X222,X223),esk27_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk25_2(X222,X223),esk26_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk24_2(X222,X223),esk25_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(esk23_2(X222,X223),esk24_2(X222,X223))
| west(X222,esk30_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk37_2(X222,X223),X223) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk36_2(X222,X223),esk37_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk35_2(X222,X223),esk36_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk34_2(X222,X223),esk35_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk33_2(X222,X223),esk34_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk32_2(X222,X223),esk33_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk31_2(X222,X223),esk32_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(esk30_2(X222,X223),esk31_2(X222,X223)) )
& ( ~ epred39_2(X223,X222)
| epred38_2(X223,X222)
| west(X222,esk23_2(X222,X223))
| west(X222,esk30_2(X222,X223)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])])])])])]) ).
cnf(c_0_171,plain,
epred18_2(cell100,cell90),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_158])]) ).
cnf(c_0_172,plain,
( X2 != cell90
| X1 != cell80
| epred16_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_173,plain,
( ~ epred10_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_174,plain,
( ~ epred9_2(X1,X2)
| epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
fof(c_0_175,plain,
! [X116,X117] :
( ( epred9_2(X117,X116)
| X117 != cell55
| X116 != cell45 )
& ( epred9_2(X117,X116)
| X117 != cell54
| X116 != cell44 )
& ( epred9_2(X117,X116)
| X117 != cell53
| X116 != cell43 )
& ( epred9_2(X117,X116)
| X117 != cell52
| X116 != cell42 )
& ( epred9_2(X117,X116)
| X117 != cell51
| X116 != cell41 )
& ( epred9_2(X117,X116)
| ~ epred8_2(X117,X116) )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X117 = cell53
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X117 = cell53
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X117 = cell53
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X117 = cell53
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X116 = cell43
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X116 = cell43
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X116 = cell43
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X117 = cell52
| X116 = cell43
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X117 = cell53
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X117 = cell53
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X117 = cell53
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X117 = cell53
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X116 = cell43
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X116 = cell43
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X116 = cell43
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X117 = cell51
| X116 = cell42
| X116 = cell43
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X117 = cell53
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X117 = cell53
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X117 = cell53
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X117 = cell53
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X116 = cell43
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X116 = cell43
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X116 = cell43
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X117 = cell52
| X116 = cell43
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X117 = cell53
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X117 = cell53
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X117 = cell53
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X117 = cell53
| X116 = cell44
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X116 = cell43
| X117 = cell54
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X116 = cell43
| X117 = cell54
| X116 = cell45 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X116 = cell43
| X116 = cell44
| X117 = cell55 )
& ( ~ epred9_2(X117,X116)
| epred8_2(X117,X116)
| X116 = cell41
| X116 = cell42
| X116 = cell43
| X116 = cell44
| X116 = cell45 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_162])])])]) ).
fof(c_0_176,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| epred7_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_151,c_0_163]) ).
fof(c_0_177,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_178,plain,
( ~ north(X1,X6)
| ~ north(X6,X5)
| ~ north(X5,X4)
| ~ north(X4,X3)
| ~ north(X3,X2)
| ~ north(X2,cell7)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_179,plain,
north(cell6,cell7),
inference(spm,[status(thm)],[c_0_132,c_0_166]) ).
cnf(c_0_180,plain,
epred20_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_181,plain,
epred19_2(cell5,cell4),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_169])]) ).
cnf(c_0_182,plain,
( X2 != cell4
| X1 != cell3
| epred19_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_183,plain,
( ~ west(X9,X10)
| ~ west(X8,X9)
| ~ west(X7,X8)
| ~ west(X6,X7)
| ~ west(X5,X6)
| ~ west(X4,X5)
| ~ west(X3,X4)
| ~ west(X2,X3)
| ~ west(X1,X2)
| epred39_2(X10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_184,plain,
west(cell90,cell100),
inference(spm,[status(thm)],[c_0_85,c_0_171]) ).
cnf(c_0_185,plain,
epred16_2(cell90,cell80),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_172])]) ).
cnf(c_0_186,plain,
( X2 != cell80
| X1 != cell70
| epred14_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_187,plain,
( ~ epred9_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_188,plain,
( ~ epred8_2(X1,X2)
| epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
fof(c_0_189,plain,
! [X114,X115] :
( ( epred8_2(X115,X114)
| X115 != cell50
| X114 != cell40 )
& ( epred8_2(X115,X114)
| X115 != cell49
| X114 != cell39 )
& ( epred8_2(X115,X114)
| X115 != cell48
| X114 != cell38 )
& ( epred8_2(X115,X114)
| X115 != cell47
| X114 != cell37 )
& ( epred8_2(X115,X114)
| X115 != cell46
| X114 != cell36 )
& ( epred8_2(X115,X114)
| ~ epred7_2(X115,X114) )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X115 = cell48
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X115 = cell48
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X115 = cell48
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X115 = cell48
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X114 = cell38
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X114 = cell38
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X114 = cell38
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X115 = cell47
| X114 = cell38
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X115 = cell48
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X115 = cell48
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X115 = cell48
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X115 = cell48
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X114 = cell38
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X114 = cell38
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X114 = cell38
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X115 = cell46
| X114 = cell37
| X114 = cell38
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X115 = cell48
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X115 = cell48
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X115 = cell48
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X115 = cell48
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X114 = cell38
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X114 = cell38
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X114 = cell38
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X115 = cell47
| X114 = cell38
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X115 = cell48
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X115 = cell48
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X115 = cell48
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X115 = cell48
| X114 = cell39
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X114 = cell38
| X115 = cell49
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X114 = cell38
| X115 = cell49
| X114 = cell40 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X114 = cell38
| X114 = cell39
| X115 = cell50 )
& ( ~ epred8_2(X115,X114)
| epred7_2(X115,X114)
| X114 = cell36
| X114 = cell37
| X114 = cell38
| X114 = cell39
| X114 = cell40 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])])]) ).
fof(c_0_190,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| epred6_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_163,c_0_177]) ).
fof(c_0_191,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_192,plain,
( ~ north(X1,X5)
| ~ north(X5,X4)
| ~ north(X4,X3)
| ~ north(X3,X2)
| ~ north(X2,cell6)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_193,plain,
north(cell5,cell6),
inference(spm,[status(thm)],[c_0_132,c_0_180]) ).
cnf(c_0_194,plain,
epred20_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_167,c_0_181]) ).
cnf(c_0_195,plain,
epred19_2(cell4,cell3),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_182])]) ).
cnf(c_0_196,plain,
( X2 != cell3
| X1 != cell2
| epred19_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_197,plain,
( ~ west(X1,X8)
| ~ west(X8,X7)
| ~ west(X7,X6)
| ~ west(X6,X5)
| ~ west(X5,X4)
| ~ west(X4,X3)
| ~ west(X3,X2)
| ~ west(X2,cell90)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_198,plain,
west(cell80,cell90),
inference(spm,[status(thm)],[c_0_106,c_0_185]) ).
cnf(c_0_199,plain,
epred14_2(cell80,cell70),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_186])]) ).
cnf(c_0_200,plain,
( X2 != cell70
| X1 != cell60
| epred12_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_201,plain,
( ~ epred8_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_202,plain,
( ~ epred7_2(X1,X2)
| epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
fof(c_0_203,plain,
! [X112,X113] :
( ( epred7_2(X113,X112)
| X113 != cell45
| X112 != cell35 )
& ( epred7_2(X113,X112)
| X113 != cell44
| X112 != cell34 )
& ( epred7_2(X113,X112)
| X113 != cell43
| X112 != cell33 )
& ( epred7_2(X113,X112)
| X113 != cell42
| X112 != cell32 )
& ( epred7_2(X113,X112)
| X113 != cell41
| X112 != cell31 )
& ( epred7_2(X113,X112)
| ~ epred6_2(X113,X112) )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X113 = cell43
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X113 = cell43
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X113 = cell43
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X113 = cell43
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X112 = cell33
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X112 = cell33
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X112 = cell33
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X113 = cell42
| X112 = cell33
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X113 = cell43
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X113 = cell43
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X113 = cell43
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X113 = cell43
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X112 = cell33
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X112 = cell33
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X112 = cell33
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X113 = cell41
| X112 = cell32
| X112 = cell33
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X113 = cell43
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X113 = cell43
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X113 = cell43
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X113 = cell43
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X112 = cell33
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X112 = cell33
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X112 = cell33
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X113 = cell42
| X112 = cell33
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X113 = cell43
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X113 = cell43
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X113 = cell43
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X113 = cell43
| X112 = cell34
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X112 = cell33
| X113 = cell44
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X112 = cell33
| X113 = cell44
| X112 = cell35 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X112 = cell33
| X112 = cell34
| X113 = cell45 )
& ( ~ epred7_2(X113,X112)
| epred6_2(X113,X112)
| X112 = cell31
| X112 = cell32
| X112 = cell33
| X112 = cell34
| X112 = cell35 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_190])])])]) ).
fof(c_0_204,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| epred5_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_177,c_0_191]) ).
fof(c_0_205,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_206,plain,
! [X94,X95,X97,X98,X99] :
( ( westof(X98,X97)
| ~ duewest(X99,X97)
| ~ vert(X98,X99) )
& ( westof(X98,X97)
| ~ duewest(X98,X97) )
& ( ~ westof(X95,X94)
| duewest(X95,X94)
| duewest(esk1_2(X94,X95),X94) )
& ( ~ westof(X95,X94)
| duewest(X95,X94)
| vert(X95,esk1_2(X94,X95)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof34980])])])])])])]) ).
fof(c_0_207,plain,
! [X92,X93] :
( ( vert(X93,X92)
| ~ duenorth(X92,X93) )
& ( vert(X93,X92)
| ~ duenorth(X93,X92) )
& ( duenorth(X92,X93)
| duenorth(X93,X92)
| ~ vert(X93,X92) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof34979])])])]) ).
fof(c_0_208,axiom,
! [X43,X44] :
( duenorth(X44,X43)
<=> epred42_2(X43,X44) ),
inference(apply_def,[status(thm)],[tlhfof34978,c_0_111]) ).
cnf(c_0_209,plain,
( ~ north(X1,X4)
| ~ north(X4,X3)
| ~ north(X3,X2)
| ~ north(X2,cell5)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_210,plain,
north(cell4,cell5),
inference(spm,[status(thm)],[c_0_132,c_0_194]) ).
cnf(c_0_211,plain,
epred20_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_167,c_0_195]) ).
cnf(c_0_212,plain,
epred19_2(cell3,cell2),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_196])]) ).
cnf(c_0_213,plain,
( ~ west(X1,X7)
| ~ west(X7,X6)
| ~ west(X6,X5)
| ~ west(X5,X4)
| ~ west(X4,X3)
| ~ west(X3,X2)
| ~ west(X2,cell80)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_214,plain,
west(cell70,cell80),
inference(spm,[status(thm)],[c_0_126,c_0_199]) ).
cnf(c_0_215,plain,
epred12_2(cell70,cell60),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_200])]) ).
cnf(c_0_216,plain,
( X2 != cell60
| X1 != cell50
| epred10_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
fof(c_0_217,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_218,plain,
( ~ epred7_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_219,plain,
( ~ epred6_2(X1,X2)
| epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
fof(c_0_220,plain,
! [X110,X111] :
( ( epred6_2(X111,X110)
| X111 != cell40
| X110 != cell30 )
& ( epred6_2(X111,X110)
| X111 != cell39
| X110 != cell29 )
& ( epred6_2(X111,X110)
| X111 != cell38
| X110 != cell28 )
& ( epred6_2(X111,X110)
| X111 != cell37
| X110 != cell27 )
& ( epred6_2(X111,X110)
| X111 != cell36
| X110 != cell26 )
& ( epred6_2(X111,X110)
| ~ epred5_2(X111,X110) )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X111 = cell38
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X111 = cell38
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X111 = cell38
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X111 = cell38
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X110 = cell28
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X110 = cell28
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X110 = cell28
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X111 = cell37
| X110 = cell28
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X111 = cell38
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X111 = cell38
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X111 = cell38
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X111 = cell38
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X110 = cell28
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X110 = cell28
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X110 = cell28
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X111 = cell36
| X110 = cell27
| X110 = cell28
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X111 = cell38
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X111 = cell38
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X111 = cell38
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X111 = cell38
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X110 = cell28
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X110 = cell28
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X110 = cell28
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X111 = cell37
| X110 = cell28
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X111 = cell38
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X111 = cell38
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X111 = cell38
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X111 = cell38
| X110 = cell29
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X110 = cell28
| X111 = cell39
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X110 = cell28
| X111 = cell39
| X110 = cell30 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X110 = cell28
| X110 = cell29
| X111 = cell40 )
& ( ~ epred6_2(X111,X110)
| epred5_2(X111,X110)
| X110 = cell26
| X110 = cell27
| X110 = cell28
| X110 = cell29
| X110 = cell30 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_204])])])]) ).
fof(c_0_221,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| epred4_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_191,c_0_205]) ).
fof(c_0_222,negated_conjecture,
~ westof(cell1,cell100),
inference(assume_negation,[status(cth)],[tlhfof34981]) ).
cnf(c_0_223,plain,
( ~ duewest(X2,X3)
| ~ vert(X1,X2)
| westof(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_224,plain,
( ~ duenorth(X1,X2)
| vert(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
fof(c_0_225,plain,
! [X90,X91] :
( ( duenorth(X91,X90)
| ~ epred42_2(X90,X91) )
& ( epred42_2(X90,X91)
| ~ duenorth(X91,X90) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_208])])]) ).
cnf(c_0_226,plain,
( ~ north(X1,X3)
| ~ north(X3,X2)
| ~ north(X2,cell4)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_227,plain,
north(cell3,cell4),
inference(spm,[status(thm)],[c_0_132,c_0_211]) ).
cnf(c_0_228,plain,
epred20_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_167,c_0_212]) ).
cnf(c_0_229,plain,
( X2 != cell2
| X1 != cell1
| epred19_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_230,plain,
( ~ west(X1,X6)
| ~ west(X6,X5)
| ~ west(X5,X4)
| ~ west(X4,X3)
| ~ west(X3,X2)
| ~ west(X2,cell70)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_231,plain,
west(cell60,cell70),
inference(spm,[status(thm)],[c_0_147,c_0_215]) ).
cnf(c_0_232,plain,
epred10_2(cell60,cell50),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_216])]) ).
cnf(c_0_233,plain,
( X2 != cell50
| X1 != cell40
| epred8_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
fof(c_0_234,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| epred3_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_205,c_0_217]) ).
cnf(c_0_235,plain,
( ~ epred6_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_236,plain,
( ~ epred5_2(X1,X2)
| epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
fof(c_0_237,plain,
! [X108,X109] :
( ( epred5_2(X109,X108)
| X109 != cell35
| X108 != cell25 )
& ( epred5_2(X109,X108)
| X109 != cell34
| X108 != cell24 )
& ( epred5_2(X109,X108)
| X109 != cell33
| X108 != cell23 )
& ( epred5_2(X109,X108)
| X109 != cell32
| X108 != cell22 )
& ( epred5_2(X109,X108)
| X109 != cell31
| X108 != cell21 )
& ( epred5_2(X109,X108)
| ~ epred4_2(X109,X108) )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X109 = cell33
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X109 = cell33
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X109 = cell33
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X109 = cell33
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X108 = cell23
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X108 = cell23
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X108 = cell23
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X109 = cell32
| X108 = cell23
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X109 = cell33
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X109 = cell33
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X109 = cell33
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X109 = cell33
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X108 = cell23
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X108 = cell23
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X108 = cell23
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X109 = cell31
| X108 = cell22
| X108 = cell23
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X109 = cell33
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X109 = cell33
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X109 = cell33
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X109 = cell33
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X108 = cell23
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X108 = cell23
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X108 = cell23
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X109 = cell32
| X108 = cell23
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X109 = cell33
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X109 = cell33
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X109 = cell33
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X109 = cell33
| X108 = cell24
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X108 = cell23
| X109 = cell34
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X108 = cell23
| X109 = cell34
| X108 = cell25 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X108 = cell23
| X108 = cell24
| X109 = cell35 )
& ( ~ epred5_2(X109,X108)
| epred4_2(X109,X108)
| X108 = cell21
| X108 = cell22
| X108 = cell23
| X108 = cell24
| X108 = cell25 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_221])])])]) ).
fof(c_0_238,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_239,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_240,negated_conjecture,
~ westof(cell1,cell100),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
cnf(c_0_241,plain,
( ~ duewest(X3,X2)
| ~ duenorth(X1,X3)
| westof(X1,X2) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_242,plain,
( ~ epred42_2(X1,X2)
| duenorth(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_243,plain,
( ~ north(X1,X2)
| ~ north(X2,cell3)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_244,plain,
north(cell2,cell3),
inference(spm,[status(thm)],[c_0_132,c_0_228]) ).
cnf(c_0_245,plain,
epred19_2(cell2,cell1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_229])]) ).
cnf(c_0_246,plain,
( ~ west(X1,X5)
| ~ west(X5,X4)
| ~ west(X4,X3)
| ~ west(X3,X2)
| ~ west(X2,cell60)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_247,plain,
west(cell50,cell60),
inference(spm,[status(thm)],[c_0_173,c_0_232]) ).
cnf(c_0_248,plain,
epred8_2(cell50,cell40),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_233])]) ).
cnf(c_0_249,plain,
( X2 != cell40
| X1 != cell30
| epred6_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
fof(c_0_250,plain,
! [X106,X107] :
( ( epred4_2(X107,X106)
| X107 != cell30
| X106 != cell20 )
& ( epred4_2(X107,X106)
| X107 != cell29
| X106 != cell19 )
& ( epred4_2(X107,X106)
| X107 != cell28
| X106 != cell18 )
& ( epred4_2(X107,X106)
| X107 != cell27
| X106 != cell17 )
& ( epred4_2(X107,X106)
| X107 != cell26
| X106 != cell16 )
& ( epred4_2(X107,X106)
| ~ epred3_2(X107,X106) )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X107 = cell28
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X107 = cell28
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X107 = cell28
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X107 = cell28
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X106 = cell18
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X106 = cell18
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X106 = cell18
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X107 = cell27
| X106 = cell18
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X107 = cell28
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X107 = cell28
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X107 = cell28
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X107 = cell28
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X106 = cell18
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X106 = cell18
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X106 = cell18
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X107 = cell26
| X106 = cell17
| X106 = cell18
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X107 = cell28
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X107 = cell28
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X107 = cell28
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X107 = cell28
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X106 = cell18
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X106 = cell18
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X106 = cell18
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X107 = cell27
| X106 = cell18
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X107 = cell28
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X107 = cell28
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X107 = cell28
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X107 = cell28
| X106 = cell19
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X106 = cell18
| X107 = cell29
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X106 = cell18
| X107 = cell29
| X106 = cell20 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X106 = cell18
| X106 = cell19
| X107 = cell30 )
& ( ~ epred4_2(X107,X106)
| epred3_2(X107,X106)
| X106 = cell16
| X106 = cell17
| X106 = cell18
| X106 = cell19
| X106 = cell20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_234])])])]) ).
cnf(c_0_251,plain,
( ~ epred5_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_252,plain,
( ~ epred4_2(X1,X2)
| epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
fof(c_0_253,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| epred2_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_217,c_0_238]) ).
fof(c_0_254,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| epred1_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_238,c_0_239]) ).
fof(c_0_255,negated_conjecture,
~ westof(cell1,cell100),
inference(fof_nnf,[status(thm)],[c_0_240]) ).
cnf(c_0_256,plain,
( ~ duewest(X3,X2)
| ~ epred42_2(X3,X1)
| westof(X1,X2) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_257,plain,
( ~ north(X1,cell2)
| epred42_2(cell10,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_258,plain,
epred20_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_167,c_0_245]) ).
fof(c_0_259,axiom,
! [X5,X6] :
( duewest(X6,X5)
<=> epred39_2(X5,X6) ),
inference(apply_def,[status(thm)],[tlhfof34977,c_0_145]) ).
cnf(c_0_260,plain,
( ~ west(X1,X4)
| ~ west(X4,X3)
| ~ west(X3,X2)
| ~ west(X2,cell50)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_261,plain,
west(cell40,cell50),
inference(spm,[status(thm)],[c_0_201,c_0_248]) ).
cnf(c_0_262,plain,
epred6_2(cell40,cell30),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_249])]) ).
cnf(c_0_263,plain,
( X2 != cell30
| X1 != cell20
| epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_264,plain,
( ~ epred4_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_265,plain,
( ~ epred3_2(X1,X2)
| epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
fof(c_0_266,plain,
! [X104,X105] :
( ( epred3_2(X105,X104)
| X105 != cell25
| X104 != cell15 )
& ( epred3_2(X105,X104)
| X105 != cell24
| X104 != cell14 )
& ( epred3_2(X105,X104)
| X105 != cell23
| X104 != cell13 )
& ( epred3_2(X105,X104)
| X105 != cell22
| X104 != cell12 )
& ( epred3_2(X105,X104)
| X105 != cell21
| X104 != cell11 )
& ( epred3_2(X105,X104)
| ~ epred2_2(X105,X104) )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X105 = cell23
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X105 = cell23
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X105 = cell23
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X105 = cell23
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X104 = cell13
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X104 = cell13
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X104 = cell13
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X105 = cell22
| X104 = cell13
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X105 = cell23
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X105 = cell23
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X105 = cell23
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X105 = cell23
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X104 = cell13
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X104 = cell13
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X104 = cell13
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X105 = cell21
| X104 = cell12
| X104 = cell13
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X105 = cell23
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X105 = cell23
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X105 = cell23
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X105 = cell23
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X104 = cell13
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X104 = cell13
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X104 = cell13
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X105 = cell22
| X104 = cell13
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X105 = cell23
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X105 = cell23
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X105 = cell23
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X105 = cell23
| X104 = cell14
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X104 = cell13
| X105 = cell24
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X104 = cell13
| X105 = cell24
| X104 = cell15 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X104 = cell13
| X104 = cell14
| X105 = cell25 )
& ( ~ epred3_2(X105,X104)
| epred2_2(X105,X104)
| X104 = cell11
| X104 = cell12
| X104 = cell13
| X104 = cell14
| X104 = cell15 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_253])])])]) ).
fof(c_0_267,plain,
! [X102,X103] :
( ( epred2_2(X103,X102)
| X103 != cell20
| X102 != cell10 )
& ( epred2_2(X103,X102)
| X103 != cell19
| X102 != cell9 )
& ( epred2_2(X103,X102)
| X103 != cell18
| X102 != cell8 )
& ( epred2_2(X103,X102)
| X103 != cell17
| X102 != cell7 )
& ( epred2_2(X103,X102)
| X103 != cell16
| X102 != cell6 )
& ( epred2_2(X103,X102)
| ~ epred1_2(X103,X102) )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X103 = cell18
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X103 = cell18
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X103 = cell18
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X103 = cell18
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X102 = cell8
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X102 = cell8
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X102 = cell8
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X103 = cell17
| X102 = cell8
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X103 = cell18
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X103 = cell18
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X103 = cell18
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X103 = cell18
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X102 = cell8
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X102 = cell8
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X102 = cell8
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X103 = cell16
| X102 = cell7
| X102 = cell8
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X103 = cell18
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X103 = cell18
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X103 = cell18
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X103 = cell18
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X102 = cell8
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X102 = cell8
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X102 = cell8
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X103 = cell17
| X102 = cell8
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X103 = cell18
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X103 = cell18
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X103 = cell18
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X103 = cell18
| X102 = cell9
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X102 = cell8
| X103 = cell19
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X102 = cell8
| X103 = cell19
| X102 = cell10 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X102 = cell8
| X102 = cell9
| X103 = cell20 )
& ( ~ epred2_2(X103,X102)
| epred1_2(X103,X102)
| X102 = cell6
| X102 = cell7
| X102 = cell8
| X102 = cell9
| X102 = cell10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_254])])])]) ).
cnf(c_0_268,negated_conjecture,
~ westof(cell1,cell100),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_269,plain,
( ~ north(X1,cell2)
| ~ duewest(cell10,X2)
| westof(X1,X2) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_270,plain,
north(cell1,cell2),
inference(spm,[status(thm)],[c_0_132,c_0_258]) ).
fof(c_0_271,plain,
! [X88,X89] :
( ( duewest(X89,X88)
| ~ epred39_2(X88,X89) )
& ( epred39_2(X88,X89)
| ~ duewest(X89,X88) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_259])])]) ).
cnf(c_0_272,plain,
( ~ west(X1,X3)
| ~ west(X3,X2)
| ~ west(X2,cell40)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_273,plain,
west(cell30,cell40),
inference(spm,[status(thm)],[c_0_235,c_0_262]) ).
cnf(c_0_274,plain,
epred4_2(cell30,cell20),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_263])]) ).
cnf(c_0_275,plain,
( ~ epred3_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_276,plain,
( ~ epred2_2(X1,X2)
| epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_266]) ).
cnf(c_0_277,plain,
( X2 != cell20
| X1 != cell10
| epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_278,negated_conjecture,
~ duewest(cell10,cell100),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270])]) ).
cnf(c_0_279,plain,
( ~ epred39_2(X1,X2)
| duewest(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_280,plain,
( ~ west(X1,X2)
| ~ west(X2,cell30)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_281,plain,
west(cell20,cell30),
inference(spm,[status(thm)],[c_0_264,c_0_274]) ).
cnf(c_0_282,plain,
( ~ epred2_2(X2,X1)
| west(X1,X2) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_283,plain,
epred2_2(cell20,cell10),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_277])]) ).
cnf(c_0_284,negated_conjecture,
~ epred39_2(cell100,cell10),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_285,plain,
( ~ west(X1,cell20)
| epred39_2(cell100,X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_286,plain,
west(cell10,cell20),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_287,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ077+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.52 % Computer : n014.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Mon Sep 21 03:50:06 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.57 Running first-order theorem proving
% 0.16/0.57 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.09/22.47 % Version: 3.5.1
% 151.09/22.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 151.09/22.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.09/22.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 151.09/22.47 % Starting new_bool_3 with 600s (2) cores
% 151.09/22.47 % Starting new_bool_1 with 300s (1) cores
% 151.09/22.47 % Starting sh5l with 300s (1) cores
% 151.09/22.47 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 3070673 completed with status 0
% 151.09/22.47 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 151.09/22.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 151.09/22.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.09/22.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 151.09/22.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 151.09/22.47 % No SInE strategy applied
% 151.09/22.47 % Search class: FGUSF-SMLF22-SFFFFFNN
% 151.09/22.47 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 151.09/22.47 % Starting SubtermCWHack with 109s (1) cores
% 151.09/22.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 151.09/22.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 135s (1) cores
% 151.09/22.47 % Starting new_bool_3 with 135s (1) cores
% 151.09/22.47 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with pid 3070701 completed with status 0
% 151.09/22.47 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 151.09/22.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 151.09/22.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.09/22.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 151.09/22.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 151.09/22.47 % No SInE strategy applied
% 151.09/22.47 % Search class: FGUSF-SMLF22-SFFFFFNN
% 151.09/22.47 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 151.09/22.47 % Starting SubtermCWHack with 109s (1) cores
% 151.09/22.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 151.09/22.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 135s (1) cores
% 151.09/22.47 % Preprocessing time : 0.022 s
% 151.09/22.47 % Presaturation interreduction done
% 151.09/22.47
% 151.09/22.47 % Proof found!
% 151.09/22.47 % SZS status Theorem
% 151.09/22.47 % SZS output start CNFRefutation
% See solution above
% 151.09/22.47 % Parsed axioms : 7
% 151.09/22.47 % Removed by relevancy pruning/SinE : 0
% 151.09/22.47 % Initial clauses : 1872
% 151.09/22.47 % Removed in clause preprocessing : 0
% 151.09/22.47 % Initial clauses in saturation : 1872
% 151.09/22.47 % Processed clauses : 20491
% 151.09/22.47 % ...of these trivial : 0
% 151.09/22.47 % ...subsumed : 8
% 151.09/22.47 % ...remaining for further processing : 20483
% 151.09/22.47 % Other redundant clauses eliminated : 360
% 151.09/22.47 % Clauses deleted for lack of memory : 0
% 151.09/22.47 % Backward-subsumed : 3177
% 151.09/22.47 % Backward-rewritten : 0
% 151.09/22.47 % Generated clauses : 62435
% 151.09/22.47 % ...of the previous two non-redundant : 61202
% 151.09/22.47 % ...aggressively subsumed : 0
% 151.09/22.47 % Contextual simplify-reflections : 0
% 151.09/22.47 % Paramodulations : 62255
% 151.09/22.47 % Factorizations : 0
% 151.09/22.47 % NegExts : 0
% 151.09/22.47 % Equation resolutions : 360
% 151.09/22.47 % Disequality decompositions : 0
% 151.09/22.47 % Total rewrite steps : 80
% 151.09/22.47 % ...of those cached : 70
% 151.09/22.47 % Propositional unsat checks : 4
% 151.09/22.47 % Propositional check models : 4
% 151.09/22.47 % Propositional check unsatisfiable : 0
% 151.09/22.47 % Propositional clauses : 0
% 151.09/22.47 % Propositional clauses after purity: 0
% 151.09/22.47 % Propositional unsat core size : 0
% 151.09/22.47 % Propositional preprocessing time : 0.000
% 151.09/22.47 % Propositional encoding time : 0.214
% 151.09/22.47 % Propositional solver time : 0.050
% 151.09/22.47 % Success case prop preproc time : 0.000
% 151.09/22.47 % Success case prop encoding time : 0.000
% 151.09/22.47 % Success case prop solver time : 0.000
% 151.09/22.47 % Current number of processed clauses : 15254
% 151.09/22.47 % Positive orientable unit clauses : 370
% 151.09/22.47 % Positive unorientable unit clauses: 0
% 151.09/22.47 % Negative unit clauses : 195
% 151.09/22.47 % Non-unit-clauses : 14689
% 151.09/22.47 % Current number of unprocessed clauses: 44230
% 151.09/22.47 % ...number of literals in the above : 317017
% 151.09/22.47 % Current number of archived formulas : 0
% 151.09/22.47 % Current number of archived clauses : 5049
% 151.09/22.47 % Clause-clause subsumption calls (NU) : 63994051
% 151.09/22.47 % Rec. Clause-clause subsumption calls : 28752320
% 151.09/22.47 % Non-unit clause-clause subsumptions : 2
% 151.09/22.47 % Unit Clause-clause subsumption calls : 907472
% 151.09/22.47 % Rewrite failures with RHS unbound : 0
% 151.09/22.47 % BW rewrite match attempts : 0
% 151.09/22.47 % BW rewrite match successes : 0
% 151.09/22.47 % Condensation attempts : 0
% 151.09/22.47 % Condensation successes : 0
% 151.09/22.47 % Termbank termtop insertions : 2824746
% 151.09/22.47 % Search garbage collected termcells : 15341
% 151.09/22.47
% 151.09/22.47 % -------------------------------------------------
% 151.09/22.47 % User time : 21.348 s
% 151.09/22.47 % System time : 0.096 s
% 151.09/22.47 % Total time : 21.444 s
% 151.09/22.47 % Maximum resident set size: 7664 pages
% 151.09/22.47
% 151.09/22.47 % -------------------------------------------------
% 151.09/22.47 % User time : 85.419 s
% 151.09/22.47 % System time : 0.918 s
% 151.09/22.47 % Total time : 86.336 s
% 151.09/22.47 % Maximum resident set size: 5120 pages
% 151.09/22.47 % E exiting
%------------------------------------------------------------------------------