%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ077+1 : TPTP v9.2.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:03:23 PM UTC 2026
% Result : Theorem 24.41s 13.78s
% Output : CNFRefutation 24.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 47
% Syntax : Number of formulae : 286 ( 47 unt; 0 def)
% Number of atoms : 13935 (10106 equ)
% Maximal formula atoms : 309 ( 48 avg)
% Number of connectives : 15557 (1908 ~;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)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 )
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 )
| ( X4 = cell84
& X3 = cell85 )
| ( X4 = cell85
& X3 = cell86 )
| ( X4 = cell86
& X3 = cell87 )
| ( X4 = cell87
& X3 = cell88 )
| ( X4 = cell88
& X3 = cell89 )
| ( X4 = cell89
& X3 = cell90 )
| ( X4 = cell91
& X3 = cell92 )
| ( X4 = cell92
& X3 = cell93 )
| ( X4 = cell93
& X3 = cell94 )
| ( X4 = cell94
& X3 = cell95 )
| ( X4 = cell95
& X3 = cell96 )
| ( X4 = cell96
& X3 = cell97 )
| ( X4 = cell97
& X3 = cell98 )
| ( X4 = cell98
& X3 = cell99 )
| ( X4 = cell99
& X3 = cell100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34976) ).
fof(tlhfof34975,axiom,
! [X1,X2] :
( west(X2,X1)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34975) ).
fof(tlhfof34980,axiom,
! [X81,X82] :
( westof(X82,X81)
<=> ( duewest(X82,X81)
| ? [X83] :
( vert(X82,X83)
& duewest(X83,X81) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34980) ).
fof(tlhfof34979,axiom,
! [X81,X82] :
( vert(X82,X81)
<=> ( duenorth(X82,X81)
| duenorth(X81,X82) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34979) ).
fof(tlhfof34978,axiom,
! [X43,X44] :
( duenorth(X44,X43)
<=> ( north(X44,X43)
| ? [X45] :
( north(X44,X45)
& north(X45,X43) )
| ? [X46,X47] :
( north(X44,X46)
& north(X46,X47)
& north(X47,X43) )
| ? [X48,X49,X50] :
( north(X44,X48)
& north(X48,X49)
& north(X49,X50)
& north(X50,X43) )
| ? [X51,X52,X53,X54] :
( north(X44,X51)
& north(X51,X52)
& north(X52,X53)
& north(X53,X54)
& north(X54,X43) )
| ? [X55,X56,X57,X58,X59] :
( north(X44,X55)
& north(X55,X56)
& north(X56,X57)
& north(X57,X58)
& north(X58,X59)
& north(X59,X43) )
| ? [X60,X61,X62,X63,X64,X65] :
( north(X44,X60)
& north(X60,X61)
& north(X61,X62)
& north(X62,X63)
& north(X63,X64)
& north(X64,X65)
& north(X65,X43) )
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X44,X66)
& north(X66,X67)
& north(X67,X68)
& north(X68,X69)
& north(X69,X70)
& north(X70,X71)
& north(X71,X72)
& north(X72,X43) )
| ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X44,X73)
& north(X73,X74)
& north(X74,X75)
& north(X75,X76)
& north(X76,X77)
& north(X77,X78)
& north(X78,X79)
& north(X79,X80)
& north(X80,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)
<=> ( west(X6,X5)
| ? [X7] :
( west(X6,X7)
& west(X7,X5) )
| ? [X8,X9] :
( west(X6,X8)
& west(X8,X9)
& west(X9,X5) )
| ? [X10,X11,X12] :
( west(X6,X10)
& west(X10,X11)
& west(X11,X12)
& west(X12,X5) )
| ? [X13,X14,X15,X16] :
( west(X6,X13)
& west(X13,X14)
& west(X14,X15)
& west(X15,X16)
& west(X16,X5) )
| ? [X17,X18,X19,X20,X21] :
( west(X6,X17)
& west(X17,X18)
& west(X18,X19)
& west(X19,X20)
& west(X20,X21)
& west(X21,X5) )
| ? [X22,X23,X24,X25,X26,X27] :
( west(X6,X22)
& west(X22,X23)
& west(X23,X24)
& west(X24,X25)
& west(X25,X26)
& west(X26,X27)
& west(X27,X5) )
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X6,X28)
& west(X28,X29)
& west(X29,X30)
& west(X30,X31)
& west(X31,X32)
& west(X32,X33)
& west(X33,X34)
& west(X34,X5) )
| ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X6,X35)
& west(X35,X36)
& west(X36,X37)
& west(X37,X38)
& west(X38,X39)
& west(X39,X40)
& west(X40,X41)
& west(X41,X42)
& west(X42,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof34977) ).
fof(c_0_7,plain,
! [X4,X3] :
( epred36_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 )
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 )
| ( X4 = cell84
& X3 = cell85 )
| ( X4 = cell85
& X3 = cell86 )
| ( X4 = cell86
& X3 = cell87 )
| ( X4 = cell87
& X3 = cell88 )
| ( X4 = cell88
& X3 = cell89 )
| ( X4 = cell89
& X3 = cell90 )
| ( X4 = cell91
& X3 = cell92 )
| ( X4 = cell92
& X3 = cell93 )
| ( X4 = cell93
& X3 = cell94 )
| ( X4 = cell94
& X3 = cell95 )
| ( X4 = cell95
& X3 = cell96 )
| ( X4 = cell96
& X3 = cell97 )
| ( X4 = cell97
& X3 = cell98 )
| ( X4 = cell98
& X3 = cell99 )
| ( X4 = cell99
& X3 = cell100 ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
! [X4,X3] :
( epred35_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 )
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 )
| ( X4 = cell84
& X3 = cell85 )
| ( X4 = cell85
& X3 = cell86 )
| ( X4 = cell86
& X3 = cell87 )
| ( X4 = cell87
& X3 = cell88 )
| ( X4 = cell88
& X3 = cell89 )
| ( X4 = cell89
& X3 = cell90 )
| ( X4 = cell91
& X3 = cell92 )
| ( X4 = cell92
& X3 = cell93 )
| ( X4 = cell93
& X3 = cell94 )
| ( X4 = cell94
& X3 = cell95 ) ) ),
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)
<=> ( epred35_2(X3,X4)
| ( X4 = cell95
& X3 = cell96 )
| ( X4 = cell96
& X3 = cell97 )
| ( X4 = cell97
& X3 = cell98 )
| ( X4 = cell98
& X3 = cell99 )
| ( X4 = cell99
& X3 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_11,plain,
! [X4,X3] :
( epred34_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 )
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 )
| ( X4 = cell84
& X3 = cell85 )
| ( X4 = cell85
& X3 = cell86 )
| ( X4 = cell86
& X3 = cell87 )
| ( X4 = cell87
& X3 = cell88 )
| ( X4 = cell88
& X3 = cell89 ) ) ),
introduced(definition) ).
fof(c_0_12,plain,
! [X171,X172] :
( ( ~ north(X172,X171)
| epred36_2(X171,X172) )
& ( ~ epred36_2(X171,X172)
| north(X172,X171) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_13,plain,
! [X255,X256] :
( ( X255 = cell99
| X255 = cell98
| X255 = cell97
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X255 = cell97
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X255 = cell97
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X255 = cell97
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X256 = cell98
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X256 = cell98
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X256 = cell98
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X256 = cell98
| X255 = cell96
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X255 = cell97
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X255 = cell97
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X255 = cell97
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X255 = cell97
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X256 = cell98
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X256 = cell98
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X256 = cell98
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X256 = cell98
| X256 = cell97
| X255 = cell95
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X255 = cell97
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X255 = cell97
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X255 = cell97
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X255 = cell97
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X256 = cell98
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X256 = cell98
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X256 = cell98
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X256 = cell98
| X255 = cell96
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X255 = cell97
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X255 = cell97
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X255 = cell97
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X255 = cell97
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X255 = cell98
| X256 = cell98
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X255 = cell98
| X256 = cell98
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X255 = cell99
| X256 = cell99
| X256 = cell98
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( X256 = cell100
| X256 = cell99
| X256 = cell98
| X256 = cell97
| X256 = cell96
| epred35_2(X256,X255)
| ~ epred36_2(X256,X255) )
& ( ~ epred35_2(X256,X255)
| epred36_2(X256,X255) )
& ( X255 != cell95
| X256 != cell96
| epred36_2(X256,X255) )
& ( X255 != cell96
| X256 != cell97
| epred36_2(X256,X255) )
& ( X255 != cell97
| X256 != cell98
| epred36_2(X256,X255) )
& ( X255 != cell98
| X256 != cell99
| epred36_2(X256,X255) )
& ( X255 != cell99
| X256 != cell100
| epred36_2(X256,X255) ) ),
inference(distribute,[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)
<=> ( epred34_2(X3,X4)
| ( X4 = cell89
& X3 = cell90 )
| ( X4 = cell91
& X3 = cell92 )
| ( X4 = cell92
& X3 = cell93 )
| ( X4 = cell93
& X3 = cell94 )
| ( X4 = cell94
& X3 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_8,c_0_11]) ).
fof(c_0_15,plain,
! [X4,X3] :
( epred33_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 )
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 ) ) ),
introduced(definition) ).
cnf(c_0_16,plain,
( north(X2,X1)
| ~ epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X253,X254] :
( ( X253 = cell94
| X253 = cell93
| X253 = cell92
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X253 = cell92
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X253 = cell92
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X253 = cell92
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X254 = cell93
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X254 = cell93
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X254 = cell93
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X254 = cell93
| X253 = cell91
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X253 = cell92
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X253 = cell92
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X253 = cell92
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X253 = cell92
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X254 = cell93
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X254 = cell93
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X254 = cell93
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X254 = cell93
| X254 = cell92
| X253 = cell89
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X253 = cell92
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X253 = cell92
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X253 = cell92
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X253 = cell92
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X254 = cell93
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X254 = cell93
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X254 = cell93
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X254 = cell93
| X253 = cell91
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X253 = cell92
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X253 = cell92
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X253 = cell92
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X253 = cell92
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X253 = cell93
| X254 = cell93
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X253 = cell93
| X254 = cell93
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X253 = cell94
| X254 = cell94
| X254 = cell93
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( X254 = cell95
| X254 = cell94
| X254 = cell93
| X254 = cell92
| X254 = cell90
| epred34_2(X254,X253)
| ~ epred35_2(X254,X253) )
& ( ~ epred34_2(X254,X253)
| epred35_2(X254,X253) )
& ( X253 != cell89
| X254 != cell90
| epred35_2(X254,X253) )
& ( X253 != cell91
| X254 != cell92
| epred35_2(X254,X253) )
& ( X253 != cell92
| X254 != cell93
| epred35_2(X254,X253) )
& ( X253 != cell93
| X254 != cell94
| epred35_2(X254,X253) )
& ( X253 != cell94
| X254 != cell95
| epred35_2(X254,X253) ) ),
inference(distribute,[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)
<=> ( epred33_2(X3,X4)
| ( X4 = cell84
& X3 = cell85 )
| ( X4 = cell85
& X3 = cell86 )
| ( X4 = cell86
& X3 = cell87 )
| ( X4 = cell87
& X3 = cell88 )
| ( X4 = cell88
& X3 = cell89 ) ) ),
inference(apply_def,[status(thm)],[c_0_11,c_0_15]) ).
fof(c_0_20,plain,
! [X4,X3] :
( epred32_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 )
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 ) ) ),
introduced(definition) ).
cnf(c_0_21,plain,
( north(X1,X2)
| ~ epred35_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X251,X252] :
( ( X251 = cell88
| X251 = cell87
| X251 = cell86
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X251 = cell86
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X251 = cell86
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X251 = cell86
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X252 = cell87
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X252 = cell87
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X252 = cell87
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X252 = cell87
| X251 = cell85
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X251 = cell86
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X251 = cell86
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X251 = cell86
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X251 = cell86
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X252 = cell87
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X252 = cell87
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X252 = cell87
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X252 = cell87
| X252 = cell86
| X251 = cell84
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X251 = cell86
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X251 = cell86
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X251 = cell86
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X251 = cell86
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X252 = cell87
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X252 = cell87
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X252 = cell87
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X252 = cell87
| X251 = cell85
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X251 = cell86
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X251 = cell86
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X251 = cell86
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X251 = cell86
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X251 = cell87
| X252 = cell87
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X251 = cell87
| X252 = cell87
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X251 = cell88
| X252 = cell88
| X252 = cell87
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( X252 = cell89
| X252 = cell88
| X252 = cell87
| X252 = cell86
| X252 = cell85
| epred33_2(X252,X251)
| ~ epred34_2(X252,X251) )
& ( ~ epred33_2(X252,X251)
| epred34_2(X252,X251) )
& ( X251 != cell84
| X252 != cell85
| epred34_2(X252,X251) )
& ( X251 != cell85
| X252 != cell86
| epred34_2(X252,X251) )
& ( X251 != cell86
| X252 != cell87
| epred34_2(X252,X251) )
& ( X251 != cell87
| X252 != cell88
| epred34_2(X252,X251) )
& ( X251 != cell88
| X252 != cell89
| epred34_2(X252,X251) ) ),
inference(distribute,[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)
<=> ( epred32_2(X3,X4)
| ( X4 = cell78
& X3 = cell79 )
| ( X4 = cell79
& X3 = cell80 )
| ( X4 = cell81
& X3 = cell82 )
| ( X4 = cell82
& X3 = cell83 )
| ( X4 = cell83
& X3 = cell84 ) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_20]) ).
fof(c_0_25,plain,
! [X4,X3] :
( epred31_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 )
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 ) ) ),
introduced(definition) ).
cnf(c_0_26,plain,
( north(X1,X2)
| ~ epred34_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X249,X250] :
( ( X249 = cell83
| X249 = cell82
| X249 = cell81
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X249 = cell81
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X249 = cell81
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X249 = cell81
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X250 = cell82
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X250 = cell82
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X250 = cell82
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X250 = cell82
| X249 = cell79
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X249 = cell81
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X249 = cell81
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X249 = cell81
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X249 = cell81
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X250 = cell82
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X250 = cell82
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X250 = cell82
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X250 = cell82
| X250 = cell80
| X249 = cell78
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X249 = cell81
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X249 = cell81
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X249 = cell81
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X249 = cell81
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X250 = cell82
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X250 = cell82
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X250 = cell82
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X250 = cell82
| X249 = cell79
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X249 = cell81
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X249 = cell81
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X249 = cell81
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X249 = cell81
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X249 = cell82
| X250 = cell82
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X249 = cell82
| X250 = cell82
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X249 = cell83
| X250 = cell83
| X250 = cell82
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( X250 = cell84
| X250 = cell83
| X250 = cell82
| X250 = cell80
| X250 = cell79
| epred32_2(X250,X249)
| ~ epred33_2(X250,X249) )
& ( ~ epred32_2(X250,X249)
| epred33_2(X250,X249) )
& ( X249 != cell78
| X250 != cell79
| epred33_2(X250,X249) )
& ( X249 != cell79
| X250 != cell80
| epred33_2(X250,X249) )
& ( X249 != cell81
| X250 != cell82
| epred33_2(X250,X249) )
& ( X249 != cell82
| X250 != cell83
| epred33_2(X250,X249) )
& ( X249 != cell83
| X250 != cell84
| epred33_2(X250,X249) ) ),
inference(distribute,[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)
<=> ( epred31_2(X3,X4)
| ( X4 = cell73
& X3 = cell74 )
| ( X4 = cell74
& X3 = cell75 )
| ( X4 = cell75
& X3 = cell76 )
| ( X4 = cell76
& X3 = cell77 )
| ( X4 = cell77
& X3 = cell78 ) ) ),
inference(apply_def,[status(thm)],[c_0_20,c_0_25]) ).
fof(c_0_30,plain,
! [X4,X3] :
( epred30_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 )
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 ) ) ),
introduced(definition) ).
cnf(c_0_31,plain,
( north(X1,X2)
| ~ epred33_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X247,X248] :
( ( X247 = cell77
| X247 = cell76
| X247 = cell75
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X247 = cell75
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X247 = cell75
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X247 = cell75
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X248 = cell76
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X248 = cell76
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X248 = cell76
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X248 = cell76
| X247 = cell74
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X247 = cell75
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X247 = cell75
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X247 = cell75
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X247 = cell75
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X248 = cell76
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X248 = cell76
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X248 = cell76
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X248 = cell76
| X248 = cell75
| X247 = cell73
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X247 = cell75
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X247 = cell75
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X247 = cell75
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X247 = cell75
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X248 = cell76
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X248 = cell76
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X248 = cell76
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X248 = cell76
| X247 = cell74
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X247 = cell75
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X247 = cell75
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X247 = cell75
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X247 = cell75
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X247 = cell76
| X248 = cell76
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X247 = cell76
| X248 = cell76
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X247 = cell77
| X248 = cell77
| X248 = cell76
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( X248 = cell78
| X248 = cell77
| X248 = cell76
| X248 = cell75
| X248 = cell74
| epred31_2(X248,X247)
| ~ epred32_2(X248,X247) )
& ( ~ epred31_2(X248,X247)
| epred32_2(X248,X247) )
& ( X247 != cell73
| X248 != cell74
| epred32_2(X248,X247) )
& ( X247 != cell74
| X248 != cell75
| epred32_2(X248,X247) )
& ( X247 != cell75
| X248 != cell76
| epred32_2(X248,X247) )
& ( X247 != cell76
| X248 != cell77
| epred32_2(X248,X247) )
& ( X247 != cell77
| X248 != cell78
| epred32_2(X248,X247) ) ),
inference(distribute,[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)
<=> ( epred30_2(X3,X4)
| ( X4 = cell67
& X3 = cell68 )
| ( X4 = cell68
& X3 = cell69 )
| ( X4 = cell69
& X3 = cell70 )
| ( X4 = cell71
& X3 = cell72 )
| ( X4 = cell72
& X3 = cell73 ) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_30]) ).
fof(c_0_35,plain,
! [X4,X3] :
( epred29_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 )
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 ) ) ),
introduced(definition) ).
cnf(c_0_36,plain,
( north(X1,X2)
| ~ epred32_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X245,X246] :
( ( X245 = cell72
| X245 = cell71
| X245 = cell69
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X245 = cell69
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X245 = cell69
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X245 = cell69
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X246 = cell70
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X246 = cell70
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X246 = cell70
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X246 = cell70
| X245 = cell68
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X245 = cell69
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X245 = cell69
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X245 = cell69
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X245 = cell69
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X246 = cell70
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X246 = cell70
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X246 = cell70
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X246 = cell70
| X246 = cell69
| X245 = cell67
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X245 = cell69
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X245 = cell69
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X245 = cell69
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X245 = cell69
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X246 = cell70
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X246 = cell70
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X246 = cell70
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X246 = cell70
| X245 = cell68
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X245 = cell69
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X245 = cell69
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X245 = cell69
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X245 = cell69
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X245 = cell71
| X246 = cell70
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X245 = cell71
| X246 = cell70
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X245 = cell72
| X246 = cell72
| X246 = cell70
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( X246 = cell73
| X246 = cell72
| X246 = cell70
| X246 = cell69
| X246 = cell68
| epred30_2(X246,X245)
| ~ epred31_2(X246,X245) )
& ( ~ epred30_2(X246,X245)
| epred31_2(X246,X245) )
& ( X245 != cell67
| X246 != cell68
| epred31_2(X246,X245) )
& ( X245 != cell68
| X246 != cell69
| epred31_2(X246,X245) )
& ( X245 != cell69
| X246 != cell70
| epred31_2(X246,X245) )
& ( X245 != cell71
| X246 != cell72
| epred31_2(X246,X245) )
& ( X245 != cell72
| X246 != cell73
| epred31_2(X246,X245) ) ),
inference(distribute,[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)
<=> ( epred29_2(X3,X4)
| ( X4 = cell62
& X3 = cell63 )
| ( X4 = cell63
& X3 = cell64 )
| ( X4 = cell64
& X3 = cell65 )
| ( X4 = cell65
& X3 = cell66 )
| ( X4 = cell66
& X3 = cell67 ) ) ),
inference(apply_def,[status(thm)],[c_0_30,c_0_35]) ).
fof(c_0_40,plain,
! [X4,X3] :
( epred28_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 )
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 ) ) ),
introduced(definition) ).
cnf(c_0_41,plain,
( north(X1,X2)
| ~ epred31_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X243,X244] :
( ( X243 = cell66
| X243 = cell65
| X243 = cell64
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X243 = cell64
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X243 = cell64
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X243 = cell64
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X244 = cell65
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X244 = cell65
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X244 = cell65
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X244 = cell65
| X243 = cell63
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X243 = cell64
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X243 = cell64
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X243 = cell64
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X243 = cell64
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X244 = cell65
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X244 = cell65
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X244 = cell65
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X244 = cell65
| X244 = cell64
| X243 = cell62
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X243 = cell64
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X243 = cell64
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X243 = cell64
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X243 = cell64
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X244 = cell65
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X244 = cell65
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X244 = cell65
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X244 = cell65
| X243 = cell63
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X243 = cell64
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X243 = cell64
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X243 = cell64
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X243 = cell64
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X243 = cell65
| X244 = cell65
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X243 = cell65
| X244 = cell65
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X243 = cell66
| X244 = cell66
| X244 = cell65
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( X244 = cell67
| X244 = cell66
| X244 = cell65
| X244 = cell64
| X244 = cell63
| epred29_2(X244,X243)
| ~ epred30_2(X244,X243) )
& ( ~ epred29_2(X244,X243)
| epred30_2(X244,X243) )
& ( X243 != cell62
| X244 != cell63
| epred30_2(X244,X243) )
& ( X243 != cell63
| X244 != cell64
| epred30_2(X244,X243) )
& ( X243 != cell64
| X244 != cell65
| epred30_2(X244,X243) )
& ( X243 != cell65
| X244 != cell66
| epred30_2(X244,X243) )
& ( X243 != cell66
| X244 != cell67
| epred30_2(X244,X243) ) ),
inference(distribute,[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)
<=> ( epred28_2(X3,X4)
| ( X4 = cell56
& X3 = cell57 )
| ( X4 = cell57
& X3 = cell58 )
| ( X4 = cell58
& X3 = cell59 )
| ( X4 = cell59
& X3 = cell60 )
| ( X4 = cell61
& X3 = cell62 ) ) ),
inference(apply_def,[status(thm)],[c_0_35,c_0_40]) ).
fof(c_0_45,plain,
! [X4,X3] :
( epred27_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 )
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 ) ) ),
introduced(definition) ).
cnf(c_0_46,plain,
( north(X1,X2)
| ~ epred30_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X241,X242] :
( ( X241 = cell61
| X241 = cell59
| X241 = cell58
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X241 = cell58
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X241 = cell58
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X241 = cell58
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X242 = cell59
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X242 = cell59
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X242 = cell59
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X242 = cell59
| X241 = cell57
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X241 = cell58
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X241 = cell58
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X241 = cell58
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X241 = cell58
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X242 = cell59
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X242 = cell59
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X242 = cell59
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X242 = cell59
| X242 = cell58
| X241 = cell56
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X241 = cell58
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X241 = cell58
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X241 = cell58
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X241 = cell58
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X242 = cell59
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X242 = cell59
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X242 = cell59
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X242 = cell59
| X241 = cell57
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X241 = cell58
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X241 = cell58
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X241 = cell58
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X241 = cell58
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X241 = cell59
| X242 = cell59
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X241 = cell59
| X242 = cell59
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X241 = cell61
| X242 = cell60
| X242 = cell59
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( X242 = cell62
| X242 = cell60
| X242 = cell59
| X242 = cell58
| X242 = cell57
| epred28_2(X242,X241)
| ~ epred29_2(X242,X241) )
& ( ~ epred28_2(X242,X241)
| epred29_2(X242,X241) )
& ( X241 != cell56
| X242 != cell57
| epred29_2(X242,X241) )
& ( X241 != cell57
| X242 != cell58
| epred29_2(X242,X241) )
& ( X241 != cell58
| X242 != cell59
| epred29_2(X242,X241) )
& ( X241 != cell59
| X242 != cell60
| epred29_2(X242,X241) )
& ( X241 != cell61
| X242 != cell62
| epred29_2(X242,X241) ) ),
inference(distribute,[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)
<=> ( epred27_2(X3,X4)
| ( X4 = cell51
& X3 = cell52 )
| ( X4 = cell52
& X3 = cell53 )
| ( X4 = cell53
& X3 = cell54 )
| ( X4 = cell54
& X3 = cell55 )
| ( X4 = cell55
& X3 = cell56 ) ) ),
inference(apply_def,[status(thm)],[c_0_40,c_0_45]) ).
fof(c_0_50,plain,
! [X4,X3] :
( epred26_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 )
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 ) ) ),
introduced(definition) ).
cnf(c_0_51,plain,
( north(X1,X2)
| ~ epred29_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_53,plain,
! [X239,X240] :
( ( X239 = cell55
| X239 = cell54
| X239 = cell53
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X239 = cell53
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X239 = cell53
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X239 = cell53
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X240 = cell54
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X240 = cell54
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X240 = cell54
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X240 = cell54
| X239 = cell52
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X239 = cell53
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X239 = cell53
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X239 = cell53
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X239 = cell53
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X240 = cell54
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X240 = cell54
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X240 = cell54
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X240 = cell54
| X240 = cell53
| X239 = cell51
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X239 = cell53
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X239 = cell53
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X239 = cell53
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X239 = cell53
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X240 = cell54
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X240 = cell54
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X240 = cell54
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X240 = cell54
| X239 = cell52
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X239 = cell53
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X239 = cell53
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X239 = cell53
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X239 = cell53
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X239 = cell54
| X240 = cell54
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X239 = cell54
| X240 = cell54
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X239 = cell55
| X240 = cell55
| X240 = cell54
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( X240 = cell56
| X240 = cell55
| X240 = cell54
| X240 = cell53
| X240 = cell52
| epred27_2(X240,X239)
| ~ epred28_2(X240,X239) )
& ( ~ epred27_2(X240,X239)
| epred28_2(X240,X239) )
& ( X239 != cell51
| X240 != cell52
| epred28_2(X240,X239) )
& ( X239 != cell52
| X240 != cell53
| epred28_2(X240,X239) )
& ( X239 != cell53
| X240 != cell54
| epred28_2(X240,X239) )
& ( X239 != cell54
| X240 != cell55
| epred28_2(X240,X239) )
& ( X239 != cell55
| X240 != cell56
| epred28_2(X240,X239) ) ),
inference(distribute,[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)
<=> ( epred26_2(X3,X4)
| ( X4 = cell45
& X3 = cell46 )
| ( X4 = cell46
& X3 = cell47 )
| ( X4 = cell47
& X3 = cell48 )
| ( X4 = cell48
& X3 = cell49 )
| ( X4 = cell49
& X3 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_45,c_0_50]) ).
fof(c_0_55,plain,
! [X4,X3] :
( epred25_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 )
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 ) ) ),
introduced(definition) ).
cnf(c_0_56,plain,
( north(X1,X2)
| ~ epred28_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_58,plain,
! [X237,X238] :
( ( X237 = cell49
| X237 = cell48
| X237 = cell47
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X237 = cell47
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X237 = cell47
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X237 = cell47
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X238 = cell48
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X238 = cell48
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X238 = cell48
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X238 = cell48
| X237 = cell46
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X237 = cell47
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X237 = cell47
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X237 = cell47
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X237 = cell47
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X238 = cell48
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X238 = cell48
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X238 = cell48
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X238 = cell48
| X238 = cell47
| X237 = cell45
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X237 = cell47
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X237 = cell47
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X237 = cell47
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X237 = cell47
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X238 = cell48
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X238 = cell48
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X238 = cell48
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X238 = cell48
| X237 = cell46
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X237 = cell47
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X237 = cell47
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X237 = cell47
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X237 = cell47
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X237 = cell48
| X238 = cell48
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X237 = cell48
| X238 = cell48
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X237 = cell49
| X238 = cell49
| X238 = cell48
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( X238 = cell50
| X238 = cell49
| X238 = cell48
| X238 = cell47
| X238 = cell46
| epred26_2(X238,X237)
| ~ epred27_2(X238,X237) )
& ( ~ epred26_2(X238,X237)
| epred27_2(X238,X237) )
& ( X237 != cell45
| X238 != cell46
| epred27_2(X238,X237) )
& ( X237 != cell46
| X238 != cell47
| epred27_2(X238,X237) )
& ( X237 != cell47
| X238 != cell48
| epred27_2(X238,X237) )
& ( X237 != cell48
| X238 != cell49
| epred27_2(X238,X237) )
& ( X237 != cell49
| X238 != cell50
| epred27_2(X238,X237) ) ),
inference(distribute,[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)
<=> ( epred25_2(X3,X4)
| ( X4 = cell39
& X3 = cell40 )
| ( X4 = cell41
& X3 = cell42 )
| ( X4 = cell42
& X3 = cell43 )
| ( X4 = cell43
& X3 = cell44 )
| ( X4 = cell44
& X3 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_50,c_0_55]) ).
fof(c_0_60,plain,
! [X4,X3] :
( epred24_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 )
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 ) ) ),
introduced(definition) ).
fof(c_0_61,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
introduced(definition) ).
fof(c_0_62,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
introduced(definition) ).
cnf(c_0_63,plain,
( north(X1,X2)
| ~ epred27_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_65,plain,
! [X235,X236] :
( ( X235 = cell44
| X235 = cell43
| X235 = cell42
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X235 = cell42
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X235 = cell42
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X235 = cell42
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X236 = cell43
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X236 = cell43
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X236 = cell43
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X236 = cell43
| X235 = cell41
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X235 = cell42
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X235 = cell42
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X235 = cell42
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X235 = cell42
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X236 = cell43
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X236 = cell43
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X236 = cell43
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X236 = cell43
| X236 = cell42
| X235 = cell39
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X235 = cell42
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X235 = cell42
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X235 = cell42
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X235 = cell42
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X236 = cell43
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X236 = cell43
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X236 = cell43
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X236 = cell43
| X235 = cell41
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X235 = cell42
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X235 = cell42
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X235 = cell42
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X235 = cell42
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X235 = cell43
| X236 = cell43
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X235 = cell43
| X236 = cell43
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X235 = cell44
| X236 = cell44
| X236 = cell43
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( X236 = cell45
| X236 = cell44
| X236 = cell43
| X236 = cell42
| X236 = cell40
| epred25_2(X236,X235)
| ~ epred26_2(X236,X235) )
& ( ~ epred25_2(X236,X235)
| epred26_2(X236,X235) )
& ( X235 != cell39
| X236 != cell40
| epred26_2(X236,X235) )
& ( X235 != cell41
| X236 != cell42
| epred26_2(X236,X235) )
& ( X235 != cell42
| X236 != cell43
| epred26_2(X236,X235) )
& ( X235 != cell43
| X236 != cell44
| epred26_2(X236,X235) )
& ( X235 != cell44
| X236 != cell45
| epred26_2(X236,X235) ) ),
inference(distribute,[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)
<=> ( epred24_2(X3,X4)
| ( X4 = cell34
& X3 = cell35 )
| ( X4 = cell35
& X3 = cell36 )
| ( X4 = cell36
& X3 = cell37 )
| ( X4 = cell37
& X3 = cell38 )
| ( X4 = cell38
& X3 = cell39 ) ) ),
inference(apply_def,[status(thm)],[c_0_55,c_0_60]) ).
fof(c_0_67,plain,
! [X4,X3] :
( epred23_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 )
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 ) ) ),
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)
<=> ( epred17_2(X1,X2)
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_70,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
introduced(definition) ).
cnf(c_0_71,plain,
( north(X1,X2)
| ~ epred26_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_73,plain,
! [X233,X234] :
( ( X233 = cell38
| X233 = cell37
| X233 = cell36
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X233 = cell36
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X233 = cell36
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X233 = cell36
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X234 = cell37
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X234 = cell37
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X234 = cell37
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X234 = cell37
| X233 = cell35
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X233 = cell36
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X233 = cell36
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X233 = cell36
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X233 = cell36
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X234 = cell37
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X234 = cell37
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X234 = cell37
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X234 = cell37
| X234 = cell36
| X233 = cell34
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X233 = cell36
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X233 = cell36
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X233 = cell36
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X233 = cell36
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X234 = cell37
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X234 = cell37
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X234 = cell37
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X234 = cell37
| X233 = cell35
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X233 = cell36
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X233 = cell36
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X233 = cell36
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X233 = cell36
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X233 = cell37
| X234 = cell37
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X233 = cell37
| X234 = cell37
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X233 = cell38
| X234 = cell38
| X234 = cell37
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( X234 = cell39
| X234 = cell38
| X234 = cell37
| X234 = cell36
| X234 = cell35
| epred24_2(X234,X233)
| ~ epred25_2(X234,X233) )
& ( ~ epred24_2(X234,X233)
| epred25_2(X234,X233) )
& ( X233 != cell34
| X234 != cell35
| epred25_2(X234,X233) )
& ( X233 != cell35
| X234 != cell36
| epred25_2(X234,X233) )
& ( X233 != cell36
| X234 != cell37
| epred25_2(X234,X233) )
& ( X233 != cell37
| X234 != cell38
| epred25_2(X234,X233) )
& ( X233 != cell38
| X234 != cell39
| epred25_2(X234,X233) ) ),
inference(distribute,[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)
<=> ( epred23_2(X3,X4)
| ( X4 = cell28
& X3 = cell29 )
| ( X4 = cell29
& X3 = cell30 )
| ( X4 = cell31
& X3 = cell32 )
| ( X4 = cell32
& X3 = cell33 )
| ( X4 = cell33
& X3 = cell34 ) ) ),
inference(apply_def,[status(thm)],[c_0_60,c_0_67]) ).
fof(c_0_75,plain,
! [X4,X3] :
( epred22_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 )
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 ) ) ),
introduced(definition) ).
fof(c_0_76,plain,
! [X169,X170] :
( ( ~ west(X170,X169)
| epred18_2(X169,X170) )
& ( ~ epred18_2(X169,X170)
| west(X170,X169) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
fof(c_0_77,plain,
! [X219,X220] :
( ( X219 = cell90
| X219 = cell89
| X219 = cell88
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X219 = cell88
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X219 = cell88
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X219 = cell88
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X220 = cell98
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X220 = cell98
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X220 = cell98
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X220 = cell98
| X219 = cell87
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X219 = cell88
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X219 = cell88
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X219 = cell88
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X219 = cell88
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X220 = cell98
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X220 = cell98
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X220 = cell98
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X220 = cell98
| X220 = cell97
| X219 = cell86
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X219 = cell88
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X219 = cell88
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X219 = cell88
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X219 = cell88
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X220 = cell98
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X220 = cell98
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X220 = cell98
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X220 = cell98
| X219 = cell87
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X219 = cell88
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X219 = cell88
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X219 = cell88
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X219 = cell88
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X219 = cell89
| X220 = cell98
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X219 = cell89
| X220 = cell98
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X219 = cell90
| X220 = cell99
| X220 = cell98
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( X220 = cell100
| X220 = cell99
| X220 = cell98
| X220 = cell97
| X220 = cell96
| epred17_2(X220,X219)
| ~ epred18_2(X220,X219) )
& ( ~ epred17_2(X220,X219)
| epred18_2(X220,X219) )
& ( X219 != cell86
| X220 != cell96
| epred18_2(X220,X219) )
& ( X219 != cell87
| X220 != cell97
| epred18_2(X220,X219) )
& ( X219 != cell88
| X220 != cell98
| epred18_2(X220,X219) )
& ( X219 != cell89
| X220 != cell99
| epred18_2(X220,X219) )
& ( X219 != cell90
| X220 != cell100
| epred18_2(X220,X219) ) ),
inference(distribute,[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)
<=> ( epred16_2(X1,X2)
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_62,c_0_70]) ).
fof(c_0_79,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
introduced(definition) ).
cnf(c_0_80,plain,
( north(X1,X2)
| ~ epred25_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_82,plain,
! [X231,X232] :
( ( X231 = cell33
| X231 = cell32
| X231 = cell31
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X231 = cell31
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X231 = cell31
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X231 = cell31
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X232 = cell32
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X232 = cell32
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X232 = cell32
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X232 = cell32
| X231 = cell29
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X231 = cell31
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X231 = cell31
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X231 = cell31
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X231 = cell31
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X232 = cell32
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X232 = cell32
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X232 = cell32
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X232 = cell32
| X232 = cell30
| X231 = cell28
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X231 = cell31
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X231 = cell31
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X231 = cell31
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X231 = cell31
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X232 = cell32
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X232 = cell32
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X232 = cell32
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X232 = cell32
| X231 = cell29
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X231 = cell31
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X231 = cell31
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X231 = cell31
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X231 = cell31
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X231 = cell32
| X232 = cell32
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X231 = cell32
| X232 = cell32
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X231 = cell33
| X232 = cell33
| X232 = cell32
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( X232 = cell34
| X232 = cell33
| X232 = cell32
| X232 = cell30
| X232 = cell29
| epred23_2(X232,X231)
| ~ epred24_2(X232,X231) )
& ( ~ epred23_2(X232,X231)
| epred24_2(X232,X231) )
& ( X231 != cell28
| X232 != cell29
| epred24_2(X232,X231) )
& ( X231 != cell29
| X232 != cell30
| epred24_2(X232,X231) )
& ( X231 != cell31
| X232 != cell32
| epred24_2(X232,X231) )
& ( X231 != cell32
| X232 != cell33
| epred24_2(X232,X231) )
& ( X231 != cell33
| X232 != cell34
| epred24_2(X232,X231) ) ),
inference(distribute,[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)
<=> ( epred22_2(X3,X4)
| ( X4 = cell23
& X3 = cell24 )
| ( X4 = cell24
& X3 = cell25 )
| ( X4 = cell25
& X3 = cell26 )
| ( X4 = cell26
& X3 = cell27 )
| ( X4 = cell27
& X3 = cell28 ) ) ),
inference(apply_def,[status(thm)],[c_0_67,c_0_75]) ).
fof(c_0_84,plain,
! [X4,X3] :
( epred21_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 )
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 ) ) ),
introduced(definition) ).
cnf(c_0_85,plain,
( west(X2,X1)
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_87,plain,
! [X217,X218] :
( ( X217 = cell85
| X217 = cell84
| X217 = cell83
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X217 = cell83
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X217 = cell83
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X217 = cell83
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X218 = cell93
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X218 = cell93
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X218 = cell93
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X218 = cell93
| X217 = cell82
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X217 = cell83
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X217 = cell83
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X217 = cell83
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X217 = cell83
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X218 = cell93
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X218 = cell93
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X218 = cell93
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X218 = cell93
| X218 = cell92
| X217 = cell81
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X217 = cell83
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X217 = cell83
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X217 = cell83
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X217 = cell83
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X218 = cell93
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X218 = cell93
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X218 = cell93
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X218 = cell93
| X217 = cell82
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X217 = cell83
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X217 = cell83
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X217 = cell83
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X217 = cell83
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X217 = cell84
| X218 = cell93
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X217 = cell84
| X218 = cell93
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X217 = cell85
| X218 = cell94
| X218 = cell93
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( X218 = cell95
| X218 = cell94
| X218 = cell93
| X218 = cell92
| X218 = cell91
| epred16_2(X218,X217)
| ~ epred17_2(X218,X217) )
& ( ~ epred16_2(X218,X217)
| epred17_2(X218,X217) )
& ( X217 != cell81
| X218 != cell91
| epred17_2(X218,X217) )
& ( X217 != cell82
| X218 != cell92
| epred17_2(X218,X217) )
& ( X217 != cell83
| X218 != cell93
| epred17_2(X218,X217) )
& ( X217 != cell84
| X218 != cell94
| epred17_2(X218,X217) )
& ( X217 != cell85
| X218 != cell95
| epred17_2(X218,X217) ) ),
inference(distribute,[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)
<=> ( epred15_2(X1,X2)
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
inference(apply_def,[status(thm)],[c_0_70,c_0_79]) ).
fof(c_0_89,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
introduced(definition) ).
cnf(c_0_90,plain,
( north(X1,X2)
| ~ epred24_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_91,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_92,plain,
! [X229,X230] :
( ( X229 = cell27
| X229 = cell26
| X229 = cell25
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X229 = cell25
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X229 = cell25
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X229 = cell25
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X230 = cell26
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X230 = cell26
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X230 = cell26
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X230 = cell26
| X229 = cell24
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X229 = cell25
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X229 = cell25
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X229 = cell25
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X229 = cell25
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X230 = cell26
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X230 = cell26
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X230 = cell26
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X230 = cell26
| X230 = cell25
| X229 = cell23
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X229 = cell25
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X229 = cell25
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X229 = cell25
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X229 = cell25
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X230 = cell26
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X230 = cell26
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X230 = cell26
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X230 = cell26
| X229 = cell24
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X229 = cell25
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X229 = cell25
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X229 = cell25
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X229 = cell25
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X229 = cell26
| X230 = cell26
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X229 = cell26
| X230 = cell26
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X229 = cell27
| X230 = cell27
| X230 = cell26
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( X230 = cell28
| X230 = cell27
| X230 = cell26
| X230 = cell25
| X230 = cell24
| epred22_2(X230,X229)
| ~ epred23_2(X230,X229) )
& ( ~ epred22_2(X230,X229)
| epred23_2(X230,X229) )
& ( X229 != cell23
| X230 != cell24
| epred23_2(X230,X229) )
& ( X229 != cell24
| X230 != cell25
| epred23_2(X230,X229) )
& ( X229 != cell25
| X230 != cell26
| epred23_2(X230,X229) )
& ( X229 != cell26
| X230 != cell27
| epred23_2(X230,X229) )
& ( X229 != cell27
| X230 != cell28
| epred23_2(X230,X229) ) ),
inference(distribute,[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)
<=> ( epred21_2(X3,X4)
| ( X4 = cell17
& X3 = cell18 )
| ( X4 = cell18
& X3 = cell19 )
| ( X4 = cell19
& X3 = cell20 )
| ( X4 = cell21
& X3 = cell22 )
| ( X4 = cell22
& X3 = cell23 ) ) ),
inference(apply_def,[status(thm)],[c_0_75,c_0_84]) ).
fof(c_0_94,plain,
! [X4,X3] :
( epred20_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 )
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 ) ) ),
introduced(definition) ).
fof(c_0_95,plain,
! [X4,X3] :
( epred19_2(X3,X4)
<=> ( ( X4 = cell1
& X3 = cell2 )
| ( X4 = cell2
& X3 = cell3 )
| ( X4 = cell3
& X3 = cell4 )
| ( X4 = cell4
& X3 = cell5 )
| ( X4 = cell5
& X3 = cell6 ) ) ),
introduced(definition) ).
cnf(c_0_96,plain,
( west(X1,X2)
| ~ epred17_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_98,plain,
! [X215,X216] :
( ( X215 = cell80
| X215 = cell79
| X215 = cell78
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X215 = cell78
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X215 = cell78
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X215 = cell78
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X216 = cell88
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X216 = cell88
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X216 = cell88
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X216 = cell88
| X215 = cell77
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X215 = cell78
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X215 = cell78
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X215 = cell78
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X215 = cell78
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X216 = cell88
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X216 = cell88
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X216 = cell88
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X216 = cell88
| X216 = cell87
| X215 = cell76
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X215 = cell78
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X215 = cell78
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X215 = cell78
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X215 = cell78
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X216 = cell88
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X216 = cell88
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X216 = cell88
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X216 = cell88
| X215 = cell77
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X215 = cell78
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X215 = cell78
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X215 = cell78
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X215 = cell78
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X215 = cell79
| X216 = cell88
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X215 = cell79
| X216 = cell88
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X215 = cell80
| X216 = cell89
| X216 = cell88
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( X216 = cell90
| X216 = cell89
| X216 = cell88
| X216 = cell87
| X216 = cell86
| epred15_2(X216,X215)
| ~ epred16_2(X216,X215) )
& ( ~ epred15_2(X216,X215)
| epred16_2(X216,X215) )
& ( X215 != cell76
| X216 != cell86
| epred16_2(X216,X215) )
& ( X215 != cell77
| X216 != cell87
| epred16_2(X216,X215) )
& ( X215 != cell78
| X216 != cell88
| epred16_2(X216,X215) )
& ( X215 != cell79
| X216 != cell89
| epred16_2(X216,X215) )
& ( X215 != cell80
| X216 != cell90
| epred16_2(X216,X215) ) ),
inference(distribute,[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)
<=> ( epred14_2(X1,X2)
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
inference(apply_def,[status(thm)],[c_0_79,c_0_89]) ).
fof(c_0_100,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
introduced(definition) ).
cnf(c_0_101,plain,
( north(X1,X2)
| ~ epred23_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_103,plain,
! [X227,X228] :
( ( X227 = cell22
| X227 = cell21
| X227 = cell19
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X227 = cell19
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X227 = cell19
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X227 = cell19
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X228 = cell20
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X228 = cell20
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X228 = cell20
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X228 = cell20
| X227 = cell18
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X227 = cell19
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X227 = cell19
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X227 = cell19
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X227 = cell19
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X228 = cell20
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X228 = cell20
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X228 = cell20
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X228 = cell20
| X228 = cell19
| X227 = cell17
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X227 = cell19
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X227 = cell19
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X227 = cell19
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X227 = cell19
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X228 = cell20
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X228 = cell20
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X228 = cell20
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X228 = cell20
| X227 = cell18
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X227 = cell19
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X227 = cell19
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X227 = cell19
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X227 = cell19
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X227 = cell21
| X228 = cell20
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X227 = cell21
| X228 = cell20
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X227 = cell22
| X228 = cell22
| X228 = cell20
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( X228 = cell23
| X228 = cell22
| X228 = cell20
| X228 = cell19
| X228 = cell18
| epred21_2(X228,X227)
| ~ epred22_2(X228,X227) )
& ( ~ epred21_2(X228,X227)
| epred22_2(X228,X227) )
& ( X227 != cell17
| X228 != cell18
| epred22_2(X228,X227) )
& ( X227 != cell18
| X228 != cell19
| epred22_2(X228,X227) )
& ( X227 != cell19
| X228 != cell20
| epred22_2(X228,X227) )
& ( X227 != cell21
| X228 != cell22
| epred22_2(X228,X227) )
& ( X227 != cell22
| X228 != cell23
| epred22_2(X228,X227) ) ),
inference(distribute,[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)
<=> ( epred20_2(X3,X4)
| ( X4 = cell12
& X3 = cell13 )
| ( X4 = cell13
& X3 = cell14 )
| ( X4 = cell14
& X3 = cell15 )
| ( X4 = cell15
& X3 = cell16 )
| ( X4 = cell16
& X3 = cell17 ) ) ),
inference(apply_def,[status(thm)],[c_0_84,c_0_94]) ).
fof(c_0_105,plain,
! [X4,X3] :
( epred20_2(X3,X4)
<=> ( epred19_2(X3,X4)
| ( X4 = cell6
& X3 = cell7 )
| ( X4 = cell7
& X3 = cell8 )
| ( X4 = cell8
& X3 = cell9 )
| ( X4 = cell9
& X3 = cell10 )
| ( X4 = cell11
& X3 = cell12 ) ) ),
inference(apply_def,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_106,plain,
( west(X1,X2)
| ~ epred16_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_108,plain,
! [X213,X214] :
( ( X213 = cell75
| X213 = cell74
| X213 = cell73
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X213 = cell73
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X213 = cell73
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X213 = cell73
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X214 = cell83
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X214 = cell83
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X214 = cell83
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X214 = cell83
| X213 = cell72
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X213 = cell73
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X213 = cell73
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X213 = cell73
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X213 = cell73
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X214 = cell83
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X214 = cell83
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X214 = cell83
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X214 = cell83
| X214 = cell82
| X213 = cell71
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X213 = cell73
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X213 = cell73
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X213 = cell73
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X213 = cell73
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X214 = cell83
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X214 = cell83
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X214 = cell83
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X214 = cell83
| X213 = cell72
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X213 = cell73
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X213 = cell73
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X213 = cell73
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X213 = cell73
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X213 = cell74
| X214 = cell83
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X213 = cell74
| X214 = cell83
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X213 = cell75
| X214 = cell84
| X214 = cell83
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( X214 = cell85
| X214 = cell84
| X214 = cell83
| X214 = cell82
| X214 = cell81
| epred14_2(X214,X213)
| ~ epred15_2(X214,X213) )
& ( ~ epred14_2(X214,X213)
| epred15_2(X214,X213) )
& ( X213 != cell71
| X214 != cell81
| epred15_2(X214,X213) )
& ( X213 != cell72
| X214 != cell82
| epred15_2(X214,X213) )
& ( X213 != cell73
| X214 != cell83
| epred15_2(X214,X213) )
& ( X213 != cell74
| X214 != cell84
| epred15_2(X214,X213) )
& ( X213 != cell75
| X214 != cell85
| epred15_2(X214,X213) ) ),
inference(distribute,[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)
<=> ( epred13_2(X1,X2)
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
inference(apply_def,[status(thm)],[c_0_89,c_0_100]) ).
fof(c_0_110,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
introduced(definition) ).
fof(c_0_111,plain,
! [X44,X43] :
( epred42_2(X43,X44)
<=> ( north(X44,X43)
| ? [X45] :
( north(X44,X45)
& north(X45,X43) )
| ? [X46,X47] :
( north(X44,X46)
& north(X46,X47)
& north(X47,X43) )
| ? [X48,X49,X50] :
( north(X44,X48)
& north(X48,X49)
& north(X49,X50)
& north(X50,X43) )
| ? [X51,X52,X53,X54] :
( north(X44,X51)
& north(X51,X52)
& north(X52,X53)
& north(X53,X54)
& north(X54,X43) )
| ? [X55,X56,X57,X58,X59] :
( north(X44,X55)
& north(X55,X56)
& north(X56,X57)
& north(X57,X58)
& north(X58,X59)
& north(X59,X43) )
| ? [X60,X61,X62,X63,X64,X65] :
( north(X44,X60)
& north(X60,X61)
& north(X61,X62)
& north(X62,X63)
& north(X63,X64)
& north(X64,X65)
& north(X65,X43) )
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X44,X66)
& north(X66,X67)
& north(X67,X68)
& north(X68,X69)
& north(X69,X70)
& north(X70,X71)
& north(X71,X72)
& north(X72,X43) )
| ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X44,X73)
& north(X73,X74)
& north(X74,X75)
& north(X75,X76)
& north(X76,X77)
& north(X77,X78)
& north(X78,X79)
& north(X79,X80)
& north(X80,X43) ) ) ),
introduced(definition) ).
fof(c_0_112,plain,
! [X44,X43] :
( epred41_2(X43,X44)
<=> ( north(X44,X43)
| ? [X45] :
( north(X44,X45)
& north(X45,X43) )
| ? [X46,X47] :
( north(X44,X46)
& north(X46,X47)
& north(X47,X43) )
| ? [X48,X49,X50] :
( north(X44,X48)
& north(X48,X49)
& north(X49,X50)
& north(X50,X43) )
| ? [X51,X52,X53,X54] :
( north(X44,X51)
& north(X51,X52)
& north(X52,X53)
& north(X53,X54)
& north(X54,X43) )
| ? [X55,X56,X57,X58,X59] :
( north(X44,X55)
& north(X55,X56)
& north(X56,X57)
& north(X57,X58)
& north(X58,X59)
& north(X59,X43) )
| ? [X60,X61,X62,X63,X64,X65] :
( north(X44,X60)
& north(X60,X61)
& north(X61,X62)
& north(X62,X63)
& north(X63,X64)
& north(X64,X65)
& north(X65,X43) ) ) ),
introduced(definition) ).
cnf(c_0_113,plain,
( north(X1,X2)
| ~ epred22_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_115,plain,
! [X225,X226] :
( ( X225 = cell16
| X225 = cell15
| X225 = cell14
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X225 = cell14
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X225 = cell14
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X225 = cell14
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X226 = cell15
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X226 = cell15
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X226 = cell15
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X226 = cell15
| X225 = cell13
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X225 = cell14
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X225 = cell14
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X225 = cell14
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X225 = cell14
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X226 = cell15
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X226 = cell15
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X226 = cell15
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X226 = cell15
| X226 = cell14
| X225 = cell12
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X225 = cell14
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X225 = cell14
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X225 = cell14
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X225 = cell14
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X226 = cell15
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X226 = cell15
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X226 = cell15
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X226 = cell15
| X225 = cell13
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X225 = cell14
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X225 = cell14
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X225 = cell14
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X225 = cell14
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X225 = cell15
| X226 = cell15
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X225 = cell15
| X226 = cell15
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X225 = cell16
| X226 = cell16
| X226 = cell15
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( X226 = cell17
| X226 = cell16
| X226 = cell15
| X226 = cell14
| X226 = cell13
| epred20_2(X226,X225)
| ~ epred21_2(X226,X225) )
& ( ~ epred20_2(X226,X225)
| epred21_2(X226,X225) )
& ( X225 != cell12
| X226 != cell13
| epred21_2(X226,X225) )
& ( X225 != cell13
| X226 != cell14
| epred21_2(X226,X225) )
& ( X225 != cell14
| X226 != cell15
| epred21_2(X226,X225) )
& ( X225 != cell15
| X226 != cell16
| epred21_2(X226,X225) )
& ( X225 != cell16
| X226 != cell17
| epred21_2(X226,X225) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])]) ).
fof(c_0_116,plain,
! [X223,X224] :
( ( X223 = cell11
| X223 = cell9
| X223 = cell8
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X223 = cell8
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X223 = cell8
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X223 = cell8
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X224 = cell9
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X224 = cell9
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X224 = cell9
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X224 = cell9
| X223 = cell7
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X223 = cell8
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X223 = cell8
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X223 = cell8
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X223 = cell8
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X224 = cell9
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X224 = cell9
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X224 = cell9
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X224 = cell9
| X224 = cell8
| X223 = cell6
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X223 = cell8
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X223 = cell8
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X223 = cell8
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X223 = cell8
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X224 = cell9
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X224 = cell9
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X224 = cell9
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X224 = cell9
| X223 = cell7
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X223 = cell8
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X223 = cell8
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X223 = cell8
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X223 = cell8
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X223 = cell9
| X224 = cell9
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X223 = cell9
| X224 = cell9
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X223 = cell11
| X224 = cell10
| X224 = cell9
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( X224 = cell12
| X224 = cell10
| X224 = cell9
| X224 = cell8
| X224 = cell7
| epred19_2(X224,X223)
| ~ epred20_2(X224,X223) )
& ( ~ epred19_2(X224,X223)
| epred20_2(X224,X223) )
& ( X223 != cell6
| X224 != cell7
| epred20_2(X224,X223) )
& ( X223 != cell7
| X224 != cell8
| epred20_2(X224,X223) )
& ( X223 != cell8
| X224 != cell9
| epred20_2(X224,X223) )
& ( X223 != cell9
| X224 != cell10
| epred20_2(X224,X223) )
& ( X223 != cell11
| X224 != cell12
| epred20_2(X224,X223) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_117,plain,
( west(X1,X2)
| ~ epred15_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
fof(c_0_119,plain,
! [X211,X212] :
( ( X211 = cell70
| X211 = cell69
| X211 = cell68
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X211 = cell68
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X211 = cell68
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X211 = cell68
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X212 = cell78
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X212 = cell78
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X212 = cell78
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X212 = cell78
| X211 = cell67
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X211 = cell68
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X211 = cell68
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X211 = cell68
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X211 = cell68
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X212 = cell78
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X212 = cell78
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X212 = cell78
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X212 = cell78
| X212 = cell77
| X211 = cell66
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X211 = cell68
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X211 = cell68
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X211 = cell68
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X211 = cell68
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X212 = cell78
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X212 = cell78
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X212 = cell78
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X212 = cell78
| X211 = cell67
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X211 = cell68
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X211 = cell68
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X211 = cell68
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X211 = cell68
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X211 = cell69
| X212 = cell78
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X211 = cell69
| X212 = cell78
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X211 = cell70
| X212 = cell79
| X212 = cell78
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( X212 = cell80
| X212 = cell79
| X212 = cell78
| X212 = cell77
| X212 = cell76
| epred13_2(X212,X211)
| ~ epred14_2(X212,X211) )
& ( ~ epred13_2(X212,X211)
| epred14_2(X212,X211) )
& ( X211 != cell66
| X212 != cell76
| epred14_2(X212,X211) )
& ( X211 != cell67
| X212 != cell77
| epred14_2(X212,X211) )
& ( X211 != cell68
| X212 != cell78
| epred14_2(X212,X211) )
& ( X211 != cell69
| X212 != cell79
| epred14_2(X212,X211) )
& ( X211 != cell70
| X212 != cell80
| epred14_2(X212,X211) ) ),
inference(distribute,[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)
<=> ( epred12_2(X1,X2)
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
inference(apply_def,[status(thm)],[c_0_100,c_0_110]) ).
fof(c_0_121,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
introduced(definition) ).
fof(c_0_122,plain,
! [X44,X43] :
( epred42_2(X43,X44)
<=> ( epred41_2(X43,X44)
| ? [X66,X67,X68,X69,X70,X71,X72] :
( north(X44,X66)
& north(X66,X67)
& north(X67,X68)
& north(X68,X69)
& north(X69,X70)
& north(X70,X71)
& north(X71,X72)
& north(X72,X43) )
| ? [X73,X74,X75,X76,X77,X78,X79,X80] :
( north(X44,X73)
& north(X73,X74)
& north(X74,X75)
& north(X75,X76)
& north(X76,X77)
& north(X77,X78)
& north(X78,X79)
& north(X79,X80)
& north(X80,X43) ) ) ),
inference(apply_def,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_123,plain,
( north(X1,X2)
| ~ epred21_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_125,plain,
( epred20_2(X2,X1)
| X1 != cell9
| X2 != cell10 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_126,plain,
( west(X1,X2)
| ~ epred14_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_128,plain,
! [X209,X210] :
( ( X209 = cell65
| X209 = cell64
| X209 = cell63
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X209 = cell63
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X209 = cell63
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X209 = cell63
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X210 = cell73
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X210 = cell73
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X210 = cell73
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X210 = cell73
| X209 = cell62
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X209 = cell63
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X209 = cell63
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X209 = cell63
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X209 = cell63
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X210 = cell73
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X210 = cell73
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X210 = cell73
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X210 = cell73
| X210 = cell72
| X209 = cell61
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X209 = cell63
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X209 = cell63
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X209 = cell63
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X209 = cell63
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X210 = cell73
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X210 = cell73
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X210 = cell73
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X210 = cell73
| X209 = cell62
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X209 = cell63
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X209 = cell63
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X209 = cell63
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X209 = cell63
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X209 = cell64
| X210 = cell73
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X209 = cell64
| X210 = cell73
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X209 = cell65
| X210 = cell74
| X210 = cell73
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( X210 = cell75
| X210 = cell74
| X210 = cell73
| X210 = cell72
| X210 = cell71
| epred12_2(X210,X209)
| ~ epred13_2(X210,X209) )
& ( ~ epred12_2(X210,X209)
| epred13_2(X210,X209) )
& ( X209 != cell61
| X210 != cell71
| epred13_2(X210,X209) )
& ( X209 != cell62
| X210 != cell72
| epred13_2(X210,X209) )
& ( X209 != cell63
| X210 != cell73
| epred13_2(X210,X209) )
& ( X209 != cell64
| X210 != cell74
| epred13_2(X210,X209) )
& ( X209 != cell65
| X210 != cell75
| epred13_2(X210,X209) ) ),
inference(distribute,[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)
<=> ( epred11_2(X1,X2)
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
inference(apply_def,[status(thm)],[c_0_110,c_0_121]) ).
fof(c_0_130,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
introduced(definition) ).
fof(c_0_131,plain,
! [X391,X392,X408,X409,X410,X411,X412,X413,X414,X415,X416,X417,X418,X419,X420,X421,X422,X423,X424] :
( ( north(X391,esk66_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(X391,esk59_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk59_2(X391,X392),esk60_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk60_2(X391,X392),esk61_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk61_2(X391,X392),esk62_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk62_2(X391,X392),esk63_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk63_2(X391,X392),esk64_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk64_2(X391,X392),esk65_2(X391,X392))
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(X391,esk66_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk66_2(X391,X392),esk67_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk67_2(X391,X392),esk68_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk68_2(X391,X392),esk69_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk69_2(X391,X392),esk70_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk70_2(X391,X392),esk71_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk71_2(X391,X392),esk72_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk72_2(X391,X392),esk73_2(X391,X392))
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( north(esk73_2(X391,X392),X392)
| north(esk65_2(X391,X392),X392)
| epred41_2(X392,X391)
| ~ epred42_2(X392,X391) )
& ( ~ epred41_2(X409,X408)
| epred42_2(X409,X408) )
& ( ~ north(X408,X410)
| ~ north(X410,X411)
| ~ north(X411,X412)
| ~ north(X412,X413)
| ~ north(X413,X414)
| ~ north(X414,X415)
| ~ north(X415,X416)
| ~ north(X416,X409)
| epred42_2(X409,X408) )
& ( ~ north(X408,X417)
| ~ north(X417,X418)
| ~ north(X418,X419)
| ~ north(X419,X420)
| ~ north(X420,X421)
| ~ north(X421,X422)
| ~ north(X422,X423)
| ~ north(X423,X424)
| ~ north(X424,X409)
| epred42_2(X409,X408) ) ),
inference(distribute,[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,
( north(X1,X2)
| ~ epred20_2(X2,X1) ),
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,
( epred20_2(X2,X1)
| X1 != cell8
| X2 != cell9 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_135,plain,
( west(X1,X2)
| ~ epred13_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
fof(c_0_137,plain,
! [X207,X208] :
( ( X207 = cell60
| X207 = cell59
| X207 = cell58
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X207 = cell58
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X207 = cell58
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X207 = cell58
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X208 = cell68
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X208 = cell68
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X208 = cell68
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X208 = cell68
| X207 = cell57
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X207 = cell58
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X207 = cell58
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X207 = cell58
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X207 = cell58
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X208 = cell68
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X208 = cell68
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X208 = cell68
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X208 = cell68
| X208 = cell67
| X207 = cell56
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X207 = cell58
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X207 = cell58
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X207 = cell58
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X207 = cell58
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X208 = cell68
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X208 = cell68
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X208 = cell68
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X208 = cell68
| X207 = cell57
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X207 = cell58
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X207 = cell58
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X207 = cell58
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X207 = cell58
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X207 = cell59
| X208 = cell68
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X207 = cell59
| X208 = cell68
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X207 = cell60
| X208 = cell69
| X208 = cell68
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( X208 = cell70
| X208 = cell69
| X208 = cell68
| X208 = cell67
| X208 = cell66
| epred11_2(X208,X207)
| ~ epred12_2(X208,X207) )
& ( ~ epred11_2(X208,X207)
| epred12_2(X208,X207) )
& ( X207 != cell56
| X208 != cell66
| epred12_2(X208,X207) )
& ( X207 != cell57
| X208 != cell67
| epred12_2(X208,X207) )
& ( X207 != cell58
| X208 != cell68
| epred12_2(X208,X207) )
& ( X207 != cell59
| X208 != cell69
| epred12_2(X208,X207) )
& ( X207 != cell60
| X208 != cell70
| epred12_2(X208,X207) ) ),
inference(distribute,[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)
<=> ( epred10_2(X1,X2)
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
inference(apply_def,[status(thm)],[c_0_121,c_0_130]) ).
fof(c_0_139,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
introduced(definition) ).
cnf(c_0_140,plain,
( epred42_2(X10,X1)
| ~ north(X1,X2)
| ~ north(X2,X3)
| ~ north(X3,X4)
| ~ north(X4,X5)
| ~ north(X5,X6)
| ~ north(X6,X7)
| ~ north(X7,X8)
| ~ north(X8,X9)
| ~ north(X9,X10) ),
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,
( epred20_2(X2,X1)
| X1 != cell7
| X2 != cell8 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_144,plain,
! [X221,X222] :
( ( X221 = cell5
| X221 = cell4
| X221 = cell3
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X221 = cell3
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X221 = cell3
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X221 = cell3
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X222 = cell4
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X222 = cell4
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X222 = cell4
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X222 = cell4
| X221 = cell2
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X221 = cell3
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X221 = cell3
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X221 = cell3
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X221 = cell3
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X222 = cell4
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X222 = cell4
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X222 = cell4
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X222 = cell4
| X222 = cell3
| X221 = cell1
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X221 = cell3
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X221 = cell3
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X221 = cell3
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X221 = cell3
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X222 = cell4
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X222 = cell4
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X222 = cell4
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X222 = cell4
| X221 = cell2
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X221 = cell3
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X221 = cell3
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X221 = cell3
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X221 = cell3
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X221 = cell4
| X222 = cell4
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X221 = cell4
| X222 = cell4
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 = cell5
| X222 = cell5
| X222 = cell4
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X222 = cell6
| X222 = cell5
| X222 = cell4
| X222 = cell3
| X222 = cell2
| ~ epred19_2(X222,X221) )
& ( X221 != cell1
| X222 != cell2
| epred19_2(X222,X221) )
& ( X221 != cell2
| X222 != cell3
| epred19_2(X222,X221) )
& ( X221 != cell3
| X222 != cell4
| epred19_2(X222,X221) )
& ( X221 != cell4
| X222 != cell5
| epred19_2(X222,X221) )
& ( X221 != cell5
| X222 != cell6
| epred19_2(X222,X221) ) ),
inference(distribute,[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)
<=> ( west(X6,X5)
| ? [X7] :
( west(X6,X7)
& west(X7,X5) )
| ? [X8,X9] :
( west(X6,X8)
& west(X8,X9)
& west(X9,X5) )
| ? [X10,X11,X12] :
( west(X6,X10)
& west(X10,X11)
& west(X11,X12)
& west(X12,X5) )
| ? [X13,X14,X15,X16] :
( west(X6,X13)
& west(X13,X14)
& west(X14,X15)
& west(X15,X16)
& west(X16,X5) )
| ? [X17,X18,X19,X20,X21] :
( west(X6,X17)
& west(X17,X18)
& west(X18,X19)
& west(X19,X20)
& west(X20,X21)
& west(X21,X5) )
| ? [X22,X23,X24,X25,X26,X27] :
( west(X6,X22)
& west(X22,X23)
& west(X23,X24)
& west(X24,X25)
& west(X25,X26)
& west(X26,X27)
& west(X27,X5) )
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X6,X28)
& west(X28,X29)
& west(X29,X30)
& west(X30,X31)
& west(X31,X32)
& west(X32,X33)
& west(X33,X34)
& west(X34,X5) )
| ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X6,X35)
& west(X35,X36)
& west(X36,X37)
& west(X37,X38)
& west(X38,X39)
& west(X39,X40)
& west(X40,X41)
& west(X41,X42)
& west(X42,X5) ) ) ),
introduced(definition) ).
fof(c_0_146,plain,
! [X6,X5] :
( epred38_2(X5,X6)
<=> ( west(X6,X5)
| ? [X7] :
( west(X6,X7)
& west(X7,X5) )
| ? [X8,X9] :
( west(X6,X8)
& west(X8,X9)
& west(X9,X5) )
| ? [X10,X11,X12] :
( west(X6,X10)
& west(X10,X11)
& west(X11,X12)
& west(X12,X5) )
| ? [X13,X14,X15,X16] :
( west(X6,X13)
& west(X13,X14)
& west(X14,X15)
& west(X15,X16)
& west(X16,X5) )
| ? [X17,X18,X19,X20,X21] :
( west(X6,X17)
& west(X17,X18)
& west(X18,X19)
& west(X19,X20)
& west(X20,X21)
& west(X21,X5) )
| ? [X22,X23,X24,X25,X26,X27] :
( west(X6,X22)
& west(X22,X23)
& west(X23,X24)
& west(X24,X25)
& west(X25,X26)
& west(X26,X27)
& west(X27,X5) ) ) ),
introduced(definition) ).
cnf(c_0_147,plain,
( west(X1,X2)
| ~ epred12_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_148,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
fof(c_0_149,plain,
! [X205,X206] :
( ( X205 = cell55
| X205 = cell54
| X205 = cell53
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X205 = cell53
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X205 = cell53
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X205 = cell53
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X206 = cell63
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X206 = cell63
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X206 = cell63
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X206 = cell63
| X205 = cell52
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X205 = cell53
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X205 = cell53
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X205 = cell53
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X205 = cell53
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X206 = cell63
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X206 = cell63
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X206 = cell63
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X206 = cell63
| X206 = cell62
| X205 = cell51
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X205 = cell53
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X205 = cell53
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X205 = cell53
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X205 = cell53
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X206 = cell63
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X206 = cell63
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X206 = cell63
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X206 = cell63
| X205 = cell52
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X205 = cell53
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X205 = cell53
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X205 = cell53
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X205 = cell53
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X205 = cell54
| X206 = cell63
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X205 = cell54
| X206 = cell63
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X205 = cell55
| X206 = cell64
| X206 = cell63
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( X206 = cell65
| X206 = cell64
| X206 = cell63
| X206 = cell62
| X206 = cell61
| epred10_2(X206,X205)
| ~ epred11_2(X206,X205) )
& ( ~ epred10_2(X206,X205)
| epred11_2(X206,X205) )
& ( X205 != cell51
| X206 != cell61
| epred11_2(X206,X205) )
& ( X205 != cell52
| X206 != cell62
| epred11_2(X206,X205) )
& ( X205 != cell53
| X206 != cell63
| epred11_2(X206,X205) )
& ( X205 != cell54
| X206 != cell64
| epred11_2(X206,X205) )
& ( X205 != cell55
| X206 != cell65
| epred11_2(X206,X205) ) ),
inference(distribute,[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)
<=> ( epred9_2(X1,X2)
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
inference(apply_def,[status(thm)],[c_0_130,c_0_139]) ).
fof(c_0_151,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
introduced(definition) ).
cnf(c_0_152,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell9)
| ~ north(X3,X2)
| ~ north(X4,X3)
| ~ north(X5,X4)
| ~ north(X6,X5)
| ~ north(X7,X6)
| ~ north(X8,X7)
| ~ north(X1,X8) ),
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,
( epred20_2(X2,X1)
| X1 != cell6
| X2 != cell7 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_156,plain,
( epred19_2(X2,X1)
| X1 != cell5
| X2 != cell6 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_157,plain,
! [X6,X5] :
( epred39_2(X5,X6)
<=> ( epred38_2(X5,X6)
| ? [X28,X29,X30,X31,X32,X33,X34] :
( west(X6,X28)
& west(X28,X29)
& west(X29,X30)
& west(X30,X31)
& west(X31,X32)
& west(X32,X33)
& west(X33,X34)
& west(X34,X5) )
| ? [X35,X36,X37,X38,X39,X40,X41,X42] :
( west(X6,X35)
& west(X35,X36)
& west(X36,X37)
& west(X37,X38)
& west(X38,X39)
& west(X39,X40)
& west(X40,X41)
& west(X41,X42)
& west(X42,X5) ) ) ),
inference(apply_def,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_158,plain,
( epred18_2(X2,X1)
| X1 != cell90
| X2 != cell100 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_159,plain,
( west(X1,X2)
| ~ epred11_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_160,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
fof(c_0_161,plain,
! [X203,X204] :
( ( X203 = cell50
| X203 = cell49
| X203 = cell48
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X203 = cell48
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X203 = cell48
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X203 = cell48
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X204 = cell58
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X204 = cell58
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X204 = cell58
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X204 = cell58
| X203 = cell47
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X203 = cell48
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X203 = cell48
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X203 = cell48
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X203 = cell48
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X204 = cell58
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X204 = cell58
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X204 = cell58
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X204 = cell58
| X204 = cell57
| X203 = cell46
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X203 = cell48
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X203 = cell48
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X203 = cell48
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X203 = cell48
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X204 = cell58
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X204 = cell58
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X204 = cell58
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X204 = cell58
| X203 = cell47
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X203 = cell48
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X203 = cell48
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X203 = cell48
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X203 = cell48
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X203 = cell49
| X204 = cell58
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X203 = cell49
| X204 = cell58
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X203 = cell50
| X204 = cell59
| X204 = cell58
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( X204 = cell60
| X204 = cell59
| X204 = cell58
| X204 = cell57
| X204 = cell56
| epred9_2(X204,X203)
| ~ epred10_2(X204,X203) )
& ( ~ epred9_2(X204,X203)
| epred10_2(X204,X203) )
& ( X203 != cell46
| X204 != cell56
| epred10_2(X204,X203) )
& ( X203 != cell47
| X204 != cell57
| epred10_2(X204,X203) )
& ( X203 != cell48
| X204 != cell58
| epred10_2(X204,X203) )
& ( X203 != cell49
| X204 != cell59
| epred10_2(X204,X203) )
& ( X203 != cell50
| X204 != cell60
| epred10_2(X204,X203) ) ),
inference(distribute,[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)
<=> ( epred8_2(X1,X2)
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
inference(apply_def,[status(thm)],[c_0_139,c_0_151]) ).
fof(c_0_163,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
introduced(definition) ).
cnf(c_0_164,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell8)
| ~ north(X3,X2)
| ~ north(X4,X3)
| ~ north(X5,X4)
| ~ north(X6,X5)
| ~ north(X7,X6)
| ~ north(X1,X7) ),
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,
( epred20_2(X1,X2)
| ~ epred19_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,
( epred19_2(X2,X1)
| X1 != cell4
| X2 != cell5 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_170,plain,
! [X307,X308,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339,X340] :
( ( west(X307,esk30_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(X307,esk23_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk23_2(X307,X308),esk24_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk24_2(X307,X308),esk25_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk25_2(X307,X308),esk26_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk26_2(X307,X308),esk27_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk27_2(X307,X308),esk28_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk28_2(X307,X308),esk29_2(X307,X308))
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(X307,esk30_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk30_2(X307,X308),esk31_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk31_2(X307,X308),esk32_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk32_2(X307,X308),esk33_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk33_2(X307,X308),esk34_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk34_2(X307,X308),esk35_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk35_2(X307,X308),esk36_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk36_2(X307,X308),esk37_2(X307,X308))
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( west(esk37_2(X307,X308),X308)
| west(esk29_2(X307,X308),X308)
| epred38_2(X308,X307)
| ~ epred39_2(X308,X307) )
& ( ~ epred38_2(X325,X324)
| epred39_2(X325,X324) )
& ( ~ west(X324,X326)
| ~ west(X326,X327)
| ~ west(X327,X328)
| ~ west(X328,X329)
| ~ west(X329,X330)
| ~ west(X330,X331)
| ~ west(X331,X332)
| ~ west(X332,X325)
| epred39_2(X325,X324) )
& ( ~ west(X324,X333)
| ~ west(X333,X334)
| ~ west(X334,X335)
| ~ west(X335,X336)
| ~ west(X336,X337)
| ~ west(X337,X338)
| ~ west(X338,X339)
| ~ west(X339,X340)
| ~ west(X340,X325)
| epred39_2(X325,X324) ) ),
inference(distribute,[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,
( epred16_2(X2,X1)
| X1 != cell80
| X2 != cell90 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_173,plain,
( west(X1,X2)
| ~ epred10_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_174,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
fof(c_0_175,plain,
! [X201,X202] :
( ( X201 = cell45
| X201 = cell44
| X201 = cell43
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X201 = cell43
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X201 = cell43
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X201 = cell43
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X202 = cell53
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X202 = cell53
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X202 = cell53
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X202 = cell53
| X201 = cell42
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X201 = cell43
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X201 = cell43
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X201 = cell43
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X201 = cell43
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X202 = cell53
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X202 = cell53
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X202 = cell53
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X202 = cell53
| X202 = cell52
| X201 = cell41
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X201 = cell43
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X201 = cell43
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X201 = cell43
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X201 = cell43
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X202 = cell53
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X202 = cell53
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X202 = cell53
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X202 = cell53
| X201 = cell42
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X201 = cell43
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X201 = cell43
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X201 = cell43
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X201 = cell43
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X201 = cell44
| X202 = cell53
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X201 = cell44
| X202 = cell53
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X201 = cell45
| X202 = cell54
| X202 = cell53
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( X202 = cell55
| X202 = cell54
| X202 = cell53
| X202 = cell52
| X202 = cell51
| epred8_2(X202,X201)
| ~ epred9_2(X202,X201) )
& ( ~ epred8_2(X202,X201)
| epred9_2(X202,X201) )
& ( X201 != cell41
| X202 != cell51
| epred9_2(X202,X201) )
& ( X201 != cell42
| X202 != cell52
| epred9_2(X202,X201) )
& ( X201 != cell43
| X202 != cell53
| epred9_2(X202,X201) )
& ( X201 != cell44
| X202 != cell54
| epred9_2(X202,X201) )
& ( X201 != cell45
| X202 != cell55
| epred9_2(X202,X201) ) ),
inference(distribute,[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)
<=> ( epred7_2(X1,X2)
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_151,c_0_163]) ).
fof(c_0_177,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
introduced(definition) ).
cnf(c_0_178,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell7)
| ~ north(X3,X2)
| ~ north(X4,X3)
| ~ north(X5,X4)
| ~ north(X6,X5)
| ~ north(X1,X6) ),
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,
( epred19_2(X2,X1)
| X1 != cell3
| X2 != cell4 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_183,plain,
( epred39_2(X10,X1)
| ~ west(X1,X2)
| ~ west(X2,X3)
| ~ west(X3,X4)
| ~ west(X4,X5)
| ~ west(X5,X6)
| ~ west(X6,X7)
| ~ west(X7,X8)
| ~ west(X8,X9)
| ~ west(X9,X10) ),
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,
( epred14_2(X2,X1)
| X1 != cell70
| X2 != cell80 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_187,plain,
( west(X1,X2)
| ~ epred9_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_188,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
fof(c_0_189,plain,
! [X199,X200] :
( ( X199 = cell40
| X199 = cell39
| X199 = cell38
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X199 = cell38
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X199 = cell38
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X199 = cell38
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X200 = cell48
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X200 = cell48
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X200 = cell48
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X200 = cell48
| X199 = cell37
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X199 = cell38
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X199 = cell38
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X199 = cell38
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X199 = cell38
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X200 = cell48
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X200 = cell48
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X200 = cell48
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X200 = cell48
| X200 = cell47
| X199 = cell36
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X199 = cell38
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X199 = cell38
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X199 = cell38
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X199 = cell38
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X200 = cell48
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X200 = cell48
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X200 = cell48
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X200 = cell48
| X199 = cell37
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X199 = cell38
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X199 = cell38
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X199 = cell38
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X199 = cell38
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X199 = cell39
| X200 = cell48
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X199 = cell39
| X200 = cell48
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X199 = cell40
| X200 = cell49
| X200 = cell48
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( X200 = cell50
| X200 = cell49
| X200 = cell48
| X200 = cell47
| X200 = cell46
| epred7_2(X200,X199)
| ~ epred8_2(X200,X199) )
& ( ~ epred7_2(X200,X199)
| epred8_2(X200,X199) )
& ( X199 != cell36
| X200 != cell46
| epred8_2(X200,X199) )
& ( X199 != cell37
| X200 != cell47
| epred8_2(X200,X199) )
& ( X199 != cell38
| X200 != cell48
| epred8_2(X200,X199) )
& ( X199 != cell39
| X200 != cell49
| epred8_2(X200,X199) )
& ( X199 != cell40
| X200 != cell50
| epred8_2(X200,X199) ) ),
inference(distribute,[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)
<=> ( epred6_2(X1,X2)
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_163,c_0_177]) ).
fof(c_0_191,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
introduced(definition) ).
cnf(c_0_192,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell6)
| ~ north(X3,X2)
| ~ north(X4,X3)
| ~ north(X5,X4)
| ~ north(X1,X5) ),
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,
( epred19_2(X2,X1)
| X1 != cell2
| X2 != cell3 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_197,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell90)
| ~ west(X3,X2)
| ~ west(X4,X3)
| ~ west(X5,X4)
| ~ west(X6,X5)
| ~ west(X7,X6)
| ~ west(X8,X7)
| ~ west(X1,X8) ),
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,
( epred12_2(X2,X1)
| X1 != cell60
| X2 != cell70 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_201,plain,
( west(X1,X2)
| ~ epred8_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_202,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
fof(c_0_203,plain,
! [X197,X198] :
( ( X197 = cell35
| X197 = cell34
| X197 = cell33
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X197 = cell33
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X197 = cell33
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X197 = cell33
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X198 = cell43
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X198 = cell43
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X198 = cell43
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X198 = cell43
| X197 = cell32
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X197 = cell33
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X197 = cell33
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X197 = cell33
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X197 = cell33
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X198 = cell43
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X198 = cell43
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X198 = cell43
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X198 = cell43
| X198 = cell42
| X197 = cell31
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X197 = cell33
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X197 = cell33
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X197 = cell33
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X197 = cell33
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X198 = cell43
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X198 = cell43
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X198 = cell43
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X198 = cell43
| X197 = cell32
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X197 = cell33
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X197 = cell33
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X197 = cell33
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X197 = cell33
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X197 = cell34
| X198 = cell43
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X197 = cell34
| X198 = cell43
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X197 = cell35
| X198 = cell44
| X198 = cell43
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( X198 = cell45
| X198 = cell44
| X198 = cell43
| X198 = cell42
| X198 = cell41
| epred6_2(X198,X197)
| ~ epred7_2(X198,X197) )
& ( ~ epred6_2(X198,X197)
| epred7_2(X198,X197) )
& ( X197 != cell31
| X198 != cell41
| epred7_2(X198,X197) )
& ( X197 != cell32
| X198 != cell42
| epred7_2(X198,X197) )
& ( X197 != cell33
| X198 != cell43
| epred7_2(X198,X197) )
& ( X197 != cell34
| X198 != cell44
| epred7_2(X198,X197) )
& ( X197 != cell35
| X198 != cell45
| epred7_2(X198,X197) ) ),
inference(distribute,[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)
<=> ( epred5_2(X1,X2)
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
inference(apply_def,[status(thm)],[c_0_177,c_0_191]) ).
fof(c_0_205,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
introduced(definition) ).
fof(c_0_206,plain,
! [X179,X180,X182,X183,X184] :
( ( vert(X180,esk1_2(X179,X180))
| duewest(X180,X179)
| ~ westof(X180,X179) )
& ( duewest(esk1_2(X179,X180),X179)
| duewest(X180,X179)
| ~ westof(X180,X179) )
& ( ~ duewest(X183,X182)
| westof(X183,X182) )
& ( ~ vert(X183,X184)
| ~ duewest(X184,X182)
| westof(X183,X182) ) ),
inference(distribute,[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,
! [X177,X178] :
( ( ~ vert(X178,X177)
| duenorth(X178,X177)
| duenorth(X177,X178) )
& ( ~ duenorth(X178,X177)
| vert(X178,X177) )
& ( ~ duenorth(X177,X178)
| vert(X178,X177) ) ),
inference(distribute,[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,
( epred42_2(cell10,X1)
| ~ north(X2,cell5)
| ~ north(X3,X2)
| ~ north(X4,X3)
| ~ north(X1,X4) ),
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,
( epred39_2(cell100,X1)
| ~ west(X2,cell80)
| ~ west(X3,X2)
| ~ west(X4,X3)
| ~ west(X5,X4)
| ~ west(X6,X5)
| ~ west(X7,X6)
| ~ west(X1,X7) ),
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,
( epred10_2(X2,X1)
| X1 != cell50
| X2 != cell60 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
fof(c_0_217,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
introduced(definition) ).
cnf(c_0_218,plain,
( west(X1,X2)
| ~ epred7_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_219,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
fof(c_0_220,plain,
! [X195,X196] :
( ( X195 = cell30
| X195 = cell29
| X195 = cell28
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X195 = cell28
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X195 = cell28
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X195 = cell28
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X196 = cell38
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X196 = cell38
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X196 = cell38
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X196 = cell38
| X195 = cell27
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X195 = cell28
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X195 = cell28
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X195 = cell28
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X195 = cell28
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X196 = cell38
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X196 = cell38
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X196 = cell38
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X196 = cell38
| X196 = cell37
| X195 = cell26
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X195 = cell28
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X195 = cell28
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X195 = cell28
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X195 = cell28
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X196 = cell38
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X196 = cell38
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X196 = cell38
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X196 = cell38
| X195 = cell27
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X195 = cell28
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X195 = cell28
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X195 = cell28
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X195 = cell28
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X195 = cell29
| X196 = cell38
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X195 = cell29
| X196 = cell38
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X195 = cell30
| X196 = cell39
| X196 = cell38
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( X196 = cell40
| X196 = cell39
| X196 = cell38
| X196 = cell37
| X196 = cell36
| epred5_2(X196,X195)
| ~ epred6_2(X196,X195) )
& ( ~ epred5_2(X196,X195)
| epred6_2(X196,X195) )
& ( X195 != cell26
| X196 != cell36
| epred6_2(X196,X195) )
& ( X195 != cell27
| X196 != cell37
| epred6_2(X196,X195) )
& ( X195 != cell28
| X196 != cell38
| epred6_2(X196,X195) )
& ( X195 != cell29
| X196 != cell39
| epred6_2(X196,X195) )
& ( X195 != cell30
| X196 != cell40
| epred6_2(X196,X195) ) ),
inference(distribute,[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)
<=> ( epred4_2(X1,X2)
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
inference(apply_def,[status(thm)],[c_0_191,c_0_205]) ).
cnf(c_0_222,plain,
( westof(X1,X3)
| ~ vert(X1,X2)
| ~ duewest(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_223,plain,
( vert(X1,X2)
| ~ duenorth(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
fof(c_0_224,plain,
! [X175,X176] :
( ( ~ duenorth(X176,X175)
| epred42_2(X175,X176) )
& ( ~ epred42_2(X175,X176)
| duenorth(X176,X175) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_208])]) ).
cnf(c_0_225,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell4)
| ~ north(X3,X2)
| ~ north(X1,X3) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_226,plain,
north(cell3,cell4),
inference(spm,[status(thm)],[c_0_132,c_0_211]) ).
cnf(c_0_227,plain,
epred20_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_167,c_0_212]) ).
cnf(c_0_228,plain,
( epred19_2(X2,X1)
| X1 != cell1
| X2 != cell2 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_229,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell70)
| ~ west(X3,X2)
| ~ west(X4,X3)
| ~ west(X5,X4)
| ~ west(X6,X5)
| ~ west(X1,X6) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_230,plain,
west(cell60,cell70),
inference(spm,[status(thm)],[c_0_147,c_0_215]) ).
cnf(c_0_231,plain,
epred10_2(cell60,cell50),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_216])]) ).
cnf(c_0_232,plain,
( epred8_2(X2,X1)
| X1 != cell40
| X2 != cell50 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
fof(c_0_233,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( epred3_2(X1,X2)
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
inference(apply_def,[status(thm)],[c_0_205,c_0_217]) ).
cnf(c_0_234,plain,
( west(X1,X2)
| ~ epred6_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_235,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
fof(c_0_236,plain,
! [X193,X194] :
( ( X193 = cell25
| X193 = cell24
| X193 = cell23
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X193 = cell23
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X193 = cell23
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X193 = cell23
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X194 = cell33
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X194 = cell33
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X194 = cell33
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X194 = cell33
| X193 = cell22
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X193 = cell23
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X193 = cell23
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X193 = cell23
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X193 = cell23
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X194 = cell33
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X194 = cell33
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X194 = cell33
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X194 = cell33
| X194 = cell32
| X193 = cell21
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X193 = cell23
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X193 = cell23
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X193 = cell23
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X193 = cell23
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X194 = cell33
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X194 = cell33
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X194 = cell33
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X194 = cell33
| X193 = cell22
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X193 = cell23
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X193 = cell23
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X193 = cell23
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X193 = cell23
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X193 = cell24
| X194 = cell33
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X193 = cell24
| X194 = cell33
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X193 = cell25
| X194 = cell34
| X194 = cell33
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( X194 = cell35
| X194 = cell34
| X194 = cell33
| X194 = cell32
| X194 = cell31
| epred4_2(X194,X193)
| ~ epred5_2(X194,X193) )
& ( ~ epred4_2(X194,X193)
| epred5_2(X194,X193) )
& ( X193 != cell21
| X194 != cell31
| epred5_2(X194,X193) )
& ( X193 != cell22
| X194 != cell32
| epred5_2(X194,X193) )
& ( X193 != cell23
| X194 != cell33
| epred5_2(X194,X193) )
& ( X193 != cell24
| X194 != cell34
| epred5_2(X194,X193) )
& ( X193 != cell25
| X194 != cell35
| epred5_2(X194,X193) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_221])])]) ).
fof(c_0_237,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
introduced(definition) ).
fof(c_0_238,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
introduced(definition) ).
cnf(c_0_239,plain,
( westof(X1,X2)
| ~ duenorth(X1,X3)
| ~ duewest(X3,X2) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_240,plain,
( duenorth(X2,X1)
| ~ epred42_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_241,plain,
( epred42_2(cell10,X1)
| ~ north(X2,cell3)
| ~ north(X1,X2) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_242,plain,
north(cell2,cell3),
inference(spm,[status(thm)],[c_0_132,c_0_227]) ).
cnf(c_0_243,plain,
epred19_2(cell2,cell1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_228])]) ).
cnf(c_0_244,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell60)
| ~ west(X3,X2)
| ~ west(X4,X3)
| ~ west(X5,X4)
| ~ west(X1,X5) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_245,plain,
west(cell50,cell60),
inference(spm,[status(thm)],[c_0_173,c_0_231]) ).
cnf(c_0_246,plain,
epred8_2(cell50,cell40),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_232])]) ).
cnf(c_0_247,plain,
( epred6_2(X2,X1)
| X1 != cell30
| X2 != cell40 ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
fof(c_0_248,plain,
! [X191,X192] :
( ( X191 = cell20
| X191 = cell19
| X191 = cell18
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X191 = cell18
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X191 = cell18
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X191 = cell18
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X192 = cell28
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X192 = cell28
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X192 = cell28
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X192 = cell28
| X191 = cell17
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X191 = cell18
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X191 = cell18
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X191 = cell18
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X191 = cell18
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X192 = cell28
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X192 = cell28
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X192 = cell28
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X192 = cell28
| X192 = cell27
| X191 = cell16
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X191 = cell18
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X191 = cell18
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X191 = cell18
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X191 = cell18
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X192 = cell28
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X192 = cell28
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X192 = cell28
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X192 = cell28
| X191 = cell17
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X191 = cell18
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X191 = cell18
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X191 = cell18
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X191 = cell18
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X191 = cell19
| X192 = cell28
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X191 = cell19
| X192 = cell28
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X191 = cell20
| X192 = cell29
| X192 = cell28
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( X192 = cell30
| X192 = cell29
| X192 = cell28
| X192 = cell27
| X192 = cell26
| epred3_2(X192,X191)
| ~ epred4_2(X192,X191) )
& ( ~ epred3_2(X192,X191)
| epred4_2(X192,X191) )
& ( X191 != cell16
| X192 != cell26
| epred4_2(X192,X191) )
& ( X191 != cell17
| X192 != cell27
| epred4_2(X192,X191) )
& ( X191 != cell18
| X192 != cell28
| epred4_2(X192,X191) )
& ( X191 != cell19
| X192 != cell29
| epred4_2(X192,X191) )
& ( X191 != cell20
| X192 != cell30
| epred4_2(X192,X191) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_233])])]) ).
cnf(c_0_249,plain,
( west(X1,X2)
| ~ epred5_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_250,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
fof(c_0_251,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( epred2_2(X1,X2)
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
inference(apply_def,[status(thm)],[c_0_217,c_0_237]) ).
fof(c_0_252,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( epred1_2(X1,X2)
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
inference(apply_def,[status(thm)],[c_0_237,c_0_238]) ).
fof(c_0_253,negated_conjecture,
~ westof(cell1,cell100),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[tlhfof34981])]) ).
cnf(c_0_254,plain,
( westof(X1,X2)
| ~ epred42_2(X3,X1)
| ~ duewest(X3,X2) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_255,plain,
( epred42_2(cell10,X1)
| ~ north(X1,cell2) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_256,plain,
epred20_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_167,c_0_243]) ).
fof(c_0_257,axiom,
! [X5,X6] :
( duewest(X6,X5)
<=> epred39_2(X5,X6) ),
inference(apply_def,[status(thm)],[tlhfof34977,c_0_145]) ).
cnf(c_0_258,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell50)
| ~ west(X3,X2)
| ~ west(X4,X3)
| ~ west(X1,X4) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_259,plain,
west(cell40,cell50),
inference(spm,[status(thm)],[c_0_201,c_0_246]) ).
cnf(c_0_260,plain,
epred6_2(cell40,cell30),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_247])]) ).
cnf(c_0_261,plain,
( epred4_2(X2,X1)
| X1 != cell20
| X2 != cell30 ),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_262,plain,
( west(X1,X2)
| ~ epred4_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_263,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
fof(c_0_264,plain,
! [X189,X190] :
( ( X189 = cell15
| X189 = cell14
| X189 = cell13
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X189 = cell13
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X189 = cell13
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X189 = cell13
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X190 = cell23
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X190 = cell23
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X190 = cell23
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X190 = cell23
| X189 = cell12
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X189 = cell13
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X189 = cell13
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X189 = cell13
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X189 = cell13
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X190 = cell23
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X190 = cell23
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X190 = cell23
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X190 = cell23
| X190 = cell22
| X189 = cell11
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X189 = cell13
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X189 = cell13
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X189 = cell13
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X189 = cell13
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X190 = cell23
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X190 = cell23
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X190 = cell23
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X190 = cell23
| X189 = cell12
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X189 = cell13
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X189 = cell13
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X189 = cell13
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X189 = cell13
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X189 = cell14
| X190 = cell23
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X189 = cell14
| X190 = cell23
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X189 = cell15
| X190 = cell24
| X190 = cell23
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( X190 = cell25
| X190 = cell24
| X190 = cell23
| X190 = cell22
| X190 = cell21
| epred2_2(X190,X189)
| ~ epred3_2(X190,X189) )
& ( ~ epred2_2(X190,X189)
| epred3_2(X190,X189) )
& ( X189 != cell11
| X190 != cell21
| epred3_2(X190,X189) )
& ( X189 != cell12
| X190 != cell22
| epred3_2(X190,X189) )
& ( X189 != cell13
| X190 != cell23
| epred3_2(X190,X189) )
& ( X189 != cell14
| X190 != cell24
| epred3_2(X190,X189) )
& ( X189 != cell15
| X190 != cell25
| epred3_2(X190,X189) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_251])])]) ).
fof(c_0_265,plain,
! [X187,X188] :
( ( X187 = cell10
| X187 = cell9
| X187 = cell8
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X187 = cell8
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X187 = cell8
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X187 = cell8
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X188 = cell18
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X188 = cell18
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X188 = cell18
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X188 = cell18
| X187 = cell7
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X187 = cell8
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X187 = cell8
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X187 = cell8
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X187 = cell8
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X188 = cell18
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X188 = cell18
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X188 = cell18
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X188 = cell18
| X188 = cell17
| X187 = cell6
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X187 = cell8
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X187 = cell8
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X187 = cell8
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X187 = cell8
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X188 = cell18
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X188 = cell18
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X188 = cell18
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X188 = cell18
| X187 = cell7
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X187 = cell8
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X187 = cell8
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X187 = cell8
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X187 = cell8
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X187 = cell9
| X188 = cell18
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X187 = cell9
| X188 = cell18
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X187 = cell10
| X188 = cell19
| X188 = cell18
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( X188 = cell20
| X188 = cell19
| X188 = cell18
| X188 = cell17
| X188 = cell16
| epred1_2(X188,X187)
| ~ epred2_2(X188,X187) )
& ( ~ epred1_2(X188,X187)
| epred2_2(X188,X187) )
& ( X187 != cell6
| X188 != cell16
| epred2_2(X188,X187) )
& ( X187 != cell7
| X188 != cell17
| epred2_2(X188,X187) )
& ( X187 != cell8
| X188 != cell18
| epred2_2(X188,X187) )
& ( X187 != cell9
| X188 != cell19
| epred2_2(X188,X187) )
& ( X187 != cell10
| X188 != cell20
| epred2_2(X188,X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_252])])]) ).
cnf(c_0_266,negated_conjecture,
~ westof(cell1,cell100),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_267,plain,
( westof(X1,X2)
| ~ duewest(cell10,X2)
| ~ north(X1,cell2) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_268,plain,
north(cell1,cell2),
inference(spm,[status(thm)],[c_0_132,c_0_256]) ).
fof(c_0_269,plain,
! [X173,X174] :
( ( ~ duewest(X174,X173)
| epred39_2(X173,X174) )
& ( ~ epred39_2(X173,X174)
| duewest(X174,X173) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_257])]) ).
cnf(c_0_270,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell40)
| ~ west(X3,X2)
| ~ west(X1,X3) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_271,plain,
west(cell30,cell40),
inference(spm,[status(thm)],[c_0_234,c_0_260]) ).
cnf(c_0_272,plain,
epred4_2(cell30,cell20),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_261])]) ).
cnf(c_0_273,plain,
( west(X1,X2)
| ~ epred3_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_274,plain,
( epred3_2(X1,X2)
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_275,plain,
( epred2_2(X2,X1)
| X1 != cell10
| X2 != cell20 ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_276,negated_conjecture,
~ duewest(cell10,cell100),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268])]) ).
cnf(c_0_277,plain,
( duewest(X2,X1)
| ~ epred39_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_278,plain,
( epred39_2(cell100,X1)
| ~ west(X2,cell30)
| ~ west(X1,X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_279,plain,
west(cell20,cell30),
inference(spm,[status(thm)],[c_0_262,c_0_272]) ).
cnf(c_0_280,plain,
( west(X1,X2)
| ~ epred2_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_281,plain,
epred2_2(cell20,cell10),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_275])]) ).
cnf(c_0_282,negated_conjecture,
~ epred39_2(cell100,cell10),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_283,plain,
( epred39_2(cell100,X1)
| ~ west(X1,cell20) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_284,plain,
west(cell10,cell20),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_285,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ077+1 : TPTP v9.2.1. Released v3.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:35:07 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 24.41/13.78 % Version : CSE_E---1.7
% 24.41/13.78 % Problem : theBenchmark.p
% 24.41/13.78 % SZS status Theorem for theBenchmark.p
% 24.41/13.78 % SZS output start CNFRefutation
% See solution above
% 24.52/13.80 % Total time : 12.449s
%------------------------------------------------------------------------------