TSTP Solution File: PUZ077+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ077+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:10:50 EDT 2022
% Result : Theorem 1.12s 181.29s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 47
% Syntax : Number of formulae : 490 ( 267 unt; 0 def)
% Number of atoms : 14120 (10124 equ)
% Maximal formula atoms : 309 ( 28 avg)
% Number of connectives : 15518 (1888 ~;9816 |;3728 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 104 ( 10 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 : 818 ( 86 sgn 375 !; 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/solver/bin/../tmp/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/solver/bin/../tmp/theBenchmark.p',tlhfof34975) ).
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/solver/bin/../tmp/theBenchmark.p',tlhfof34978) ).
fof(tlhfof34979,axiom,
! [X81,X82] :
( vert(X82,X81)
<=> ( duenorth(X82,X81)
| duenorth(X81,X82) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tlhfof34979) ).
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/solver/bin/../tmp/theBenchmark.p',tlhfof34977) ).
fof(tlhfof34980,axiom,
! [X81,X82] :
( westof(X82,X81)
<=> ( duewest(X82,X81)
| ? [X83] :
( vert(X82,X83)
& duewest(X83,X81) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tlhfof34980) ).
fof(tlhfof34981,conjecture,
westof(cell1,cell100),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tlhfof34981) ).
fof(c_0_7,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 ) ) ),
introduced(definition) ).
fof(c_0_8,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 ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell5
| X5 = cell4
| X5 = cell3
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X5 = cell3
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X5 = cell3
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X5 = cell3
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X6 = cell4
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X6 = cell4
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X6 = cell4
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X6 = cell4
| X5 = cell2
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X5 = cell3
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X5 = cell3
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X5 = cell3
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X5 = cell3
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X6 = cell4
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X6 = cell4
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X6 = cell4
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X6 = cell4
| X6 = cell3
| X5 = cell1
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X5 = cell3
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X5 = cell3
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X5 = cell3
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X5 = cell3
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X6 = cell4
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X6 = cell4
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X6 = cell4
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X6 = cell4
| X5 = cell2
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X5 = cell3
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X5 = cell3
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X5 = cell3
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X5 = cell3
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X5 = cell4
| X6 = cell4
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X5 = cell4
| X6 = cell4
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 = cell5
| X6 = cell5
| X6 = cell4
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X6 = cell6
| X6 = cell5
| X6 = cell4
| X6 = cell3
| X6 = cell2
| ~ epred25_2(X6,X5) )
& ( X5 != cell1
| X6 != cell2
| epred25_2(X6,X5) )
& ( X5 != cell2
| X6 != cell3
| epred25_2(X6,X5) )
& ( X5 != cell3
| X6 != cell4
| epred25_2(X6,X5) )
& ( X5 != cell4
| X6 != cell5
| epred25_2(X6,X5) )
& ( X5 != cell5
| X6 != cell6
| epred25_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,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 ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
! [X4,X3] :
( epred26_2(X3,X4)
<=> ( epred25_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_8,c_0_7]) ).
cnf(c_0_12,plain,
( epred25_2(X1,X2)
| X1 != cell3
| X2 != cell2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,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 ) ) ),
introduced(definition) ).
fof(c_0_14,plain,
! [X4,X3] :
( epred27_2(X3,X4)
<=> ( epred26_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_10,c_0_8]) ).
fof(c_0_15,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell11
| X5 = cell9
| X5 = cell8
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X5 = cell8
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X5 = cell8
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X5 = cell8
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X6 = cell9
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X6 = cell9
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X6 = cell9
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X6 = cell9
| X5 = cell7
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X5 = cell8
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X5 = cell8
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X5 = cell8
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X5 = cell8
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X6 = cell9
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X6 = cell9
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X6 = cell9
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X6 = cell9
| X6 = cell8
| X5 = cell6
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X5 = cell8
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X5 = cell8
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X5 = cell8
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X5 = cell8
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X6 = cell9
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X6 = cell9
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X6 = cell9
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X6 = cell9
| X5 = cell7
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X5 = cell8
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X5 = cell8
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X5 = cell8
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X5 = cell8
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X5 = cell9
| X6 = cell9
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X5 = cell9
| X6 = cell9
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X5 = cell11
| X6 = cell10
| X6 = cell9
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( X6 = cell12
| X6 = cell10
| X6 = cell9
| X6 = cell8
| X6 = cell7
| epred25_2(X6,X5)
| ~ epred26_2(X6,X5) )
& ( ~ epred25_2(X6,X5)
| epred26_2(X6,X5) )
& ( X5 != cell6
| X6 != cell7
| epred26_2(X6,X5) )
& ( X5 != cell7
| X6 != cell8
| epred26_2(X6,X5) )
& ( X5 != cell8
| X6 != cell9
| epred26_2(X6,X5) )
& ( X5 != cell9
| X6 != cell10
| epred26_2(X6,X5) )
& ( X5 != cell11
| X6 != cell12
| epred26_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
cnf(c_0_16,plain,
( epred25_2(X1,cell2)
| X1 != cell3 ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( epred25_2(X1,X2)
| X1 != cell4
| X2 != cell3 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,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 ) ) ),
introduced(definition) ).
fof(c_0_19,plain,
! [X4,X3] :
( epred28_2(X3,X4)
<=> ( epred27_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_13,c_0_10]) ).
fof(c_0_20,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell16
| X5 = cell15
| X5 = cell14
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X5 = cell14
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X5 = cell14
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X5 = cell14
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X6 = cell15
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X6 = cell15
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X6 = cell15
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X6 = cell15
| X5 = cell13
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X5 = cell14
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X5 = cell14
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X5 = cell14
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X5 = cell14
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X6 = cell15
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X6 = cell15
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X6 = cell15
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X6 = cell15
| X6 = cell14
| X5 = cell12
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X5 = cell14
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X5 = cell14
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X5 = cell14
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X5 = cell14
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X6 = cell15
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X6 = cell15
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X6 = cell15
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X6 = cell15
| X5 = cell13
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X5 = cell14
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X5 = cell14
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X5 = cell14
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X5 = cell14
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X5 = cell15
| X6 = cell15
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X5 = cell15
| X6 = cell15
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X5 = cell16
| X6 = cell16
| X6 = cell15
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( X6 = cell17
| X6 = cell16
| X6 = cell15
| X6 = cell14
| X6 = cell13
| epred26_2(X6,X5)
| ~ epred27_2(X6,X5) )
& ( ~ epred26_2(X6,X5)
| epred27_2(X6,X5) )
& ( X5 != cell12
| X6 != cell13
| epred27_2(X6,X5) )
& ( X5 != cell13
| X6 != cell14
| epred27_2(X6,X5) )
& ( X5 != cell14
| X6 != cell15
| epred27_2(X6,X5) )
& ( X5 != cell15
| X6 != cell16
| epred27_2(X6,X5) )
& ( X5 != cell16
| X6 != cell17
| epred27_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_21,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
epred25_2(cell3,cell2),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( epred25_2(X1,cell3)
| X1 != cell4 ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( epred25_2(X1,X2)
| X1 != cell2
| X2 != cell1 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_25,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 ) ) ),
introduced(definition) ).
fof(c_0_26,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 ) ) ),
introduced(definition) ).
fof(c_0_27,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 ) ) ),
introduced(definition) ).
fof(c_0_28,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 ) ) ),
introduced(definition) ).
fof(c_0_29,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 ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
! [X4,X3] :
( epred29_2(X3,X4)
<=> ( epred28_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_18,c_0_13]) ).
fof(c_0_31,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell22
| X5 = cell21
| X5 = cell19
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X5 = cell19
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X5 = cell19
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X5 = cell19
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X6 = cell20
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X6 = cell20
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X6 = cell20
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X6 = cell20
| X5 = cell18
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X5 = cell19
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X5 = cell19
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X5 = cell19
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X5 = cell19
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X6 = cell20
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X6 = cell20
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X6 = cell20
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X6 = cell20
| X6 = cell19
| X5 = cell17
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X5 = cell19
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X5 = cell19
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X5 = cell19
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X5 = cell19
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X6 = cell20
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X6 = cell20
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X6 = cell20
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X6 = cell20
| X5 = cell18
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X5 = cell19
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X5 = cell19
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X5 = cell19
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X5 = cell19
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X5 = cell21
| X6 = cell20
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X5 = cell21
| X6 = cell20
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X5 = cell22
| X6 = cell22
| X6 = cell20
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( X6 = cell23
| X6 = cell22
| X6 = cell20
| X6 = cell19
| X6 = cell18
| epred27_2(X6,X5)
| ~ epred28_2(X6,X5) )
& ( ~ epred27_2(X6,X5)
| epred28_2(X6,X5) )
& ( X5 != cell17
| X6 != cell18
| epred28_2(X6,X5) )
& ( X5 != cell18
| X6 != cell19
| epred28_2(X6,X5) )
& ( X5 != cell19
| X6 != cell20
| epred28_2(X6,X5) )
& ( X5 != cell21
| X6 != cell22
| epred28_2(X6,X5) )
& ( X5 != cell22
| X6 != cell23
| epred28_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
cnf(c_0_32,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,plain,
epred26_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_34,plain,
epred25_2(cell4,cell3),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( epred25_2(X1,cell1)
| X1 != cell2 ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( epred25_2(X1,X2)
| X1 != cell5
| X2 != cell4 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_37,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( epred6_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_25,c_0_26]) ).
fof(c_0_38,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( epred4_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_27,c_0_28]) ).
fof(c_0_39,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 ) ) ),
introduced(definition) ).
fof(c_0_40,plain,
! [X4,X3] :
( epred30_2(X3,X4)
<=> ( epred29_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_29,c_0_18]) ).
fof(c_0_41,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell27
| X5 = cell26
| X5 = cell25
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X5 = cell25
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X5 = cell25
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X5 = cell25
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X6 = cell26
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X6 = cell26
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X6 = cell26
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X6 = cell26
| X5 = cell24
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X5 = cell25
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X5 = cell25
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X5 = cell25
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X5 = cell25
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X6 = cell26
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X6 = cell26
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X6 = cell26
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X6 = cell26
| X6 = cell25
| X5 = cell23
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X5 = cell25
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X5 = cell25
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X5 = cell25
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X5 = cell25
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X6 = cell26
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X6 = cell26
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X6 = cell26
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X6 = cell26
| X5 = cell24
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X5 = cell25
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X5 = cell25
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X5 = cell25
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X5 = cell25
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X5 = cell26
| X6 = cell26
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X5 = cell26
| X6 = cell26
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X5 = cell27
| X6 = cell27
| X6 = cell26
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( X6 = cell28
| X6 = cell27
| X6 = cell26
| X6 = cell25
| X6 = cell24
| epred28_2(X6,X5)
| ~ epred29_2(X6,X5) )
& ( ~ epred28_2(X6,X5)
| epred29_2(X6,X5) )
& ( X5 != cell23
| X6 != cell24
| epred29_2(X6,X5) )
& ( X5 != cell24
| X6 != cell25
| epred29_2(X6,X5) )
& ( X5 != cell25
| X6 != cell26
| epred29_2(X6,X5) )
& ( X5 != cell26
| X6 != cell27
| epred29_2(X6,X5) )
& ( X5 != cell27
| X6 != cell28
| epred29_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
cnf(c_0_42,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
epred27_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
epred26_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_21,c_0_34]) ).
cnf(c_0_45,plain,
epred25_2(cell2,cell1),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( epred25_2(X1,cell4)
| X1 != cell5 ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( epred25_2(X1,X2)
| X1 != cell6
| X2 != cell5 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_48,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 ) ) ),
introduced(definition) ).
fof(c_0_49,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( ~ epred6_2(X4,X3)
| epred7_2(X4,X3) )
& ( X3 != cell16
| X4 != cell26
| epred7_2(X4,X3) )
& ( X3 != cell17
| X4 != cell27
| epred7_2(X4,X3) )
& ( X3 != cell18
| X4 != cell28
| epred7_2(X4,X3) )
& ( X3 != cell19
| X4 != cell29
| epred7_2(X4,X3) )
& ( X3 != cell20
| X4 != cell30
| epred7_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
fof(c_0_50,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( ~ epred4_2(X4,X3)
| epred5_2(X4,X3) )
& ( X3 != cell6
| X4 != cell16
| epred5_2(X4,X3) )
& ( X3 != cell7
| X4 != cell17
| epred5_2(X4,X3) )
& ( X3 != cell8
| X4 != cell18
| epred5_2(X4,X3) )
& ( X3 != cell9
| X4 != cell19
| epred5_2(X4,X3) )
& ( X3 != cell10
| X4 != cell20
| epred5_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])]) ).
fof(c_0_51,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 ) ) ),
introduced(definition) ).
fof(c_0_52,plain,
! [X4,X3] :
( epred31_2(X3,X4)
<=> ( epred30_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_39,c_0_29]) ).
fof(c_0_53,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell33
| X5 = cell32
| X5 = cell31
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X5 = cell31
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X5 = cell31
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X5 = cell31
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X6 = cell32
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X6 = cell32
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X6 = cell32
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X6 = cell32
| X5 = cell29
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X5 = cell31
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X5 = cell31
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X5 = cell31
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X5 = cell31
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X6 = cell32
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X6 = cell32
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X6 = cell32
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X6 = cell32
| X6 = cell30
| X5 = cell28
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X5 = cell31
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X5 = cell31
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X5 = cell31
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X5 = cell31
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X6 = cell32
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X6 = cell32
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X6 = cell32
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X6 = cell32
| X5 = cell29
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X5 = cell31
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X5 = cell31
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X5 = cell31
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X5 = cell31
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X5 = cell32
| X6 = cell32
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X5 = cell32
| X6 = cell32
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X5 = cell33
| X6 = cell33
| X6 = cell32
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( X6 = cell34
| X6 = cell33
| X6 = cell32
| X6 = cell30
| X6 = cell29
| epred29_2(X6,X5)
| ~ epred30_2(X6,X5) )
& ( ~ epred29_2(X6,X5)
| epred30_2(X6,X5) )
& ( X5 != cell28
| X6 != cell29
| epred30_2(X6,X5) )
& ( X5 != cell29
| X6 != cell30
| epred30_2(X6,X5) )
& ( X5 != cell31
| X6 != cell32
| epred30_2(X6,X5) )
& ( X5 != cell32
| X6 != cell33
| epred30_2(X6,X5) )
& ( X5 != cell33
| X6 != cell34
| epred30_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])]) ).
cnf(c_0_54,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
epred28_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_56,plain,
epred27_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_32,c_0_44]) ).
cnf(c_0_57,plain,
epred26_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_21,c_0_45]) ).
cnf(c_0_58,plain,
epred25_2(cell5,cell4),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( epred25_2(X1,cell5)
| X1 != cell6 ),
inference(er,[status(thm)],[c_0_47]) ).
fof(c_0_60,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 ) ) ),
introduced(definition) ).
fof(c_0_61,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( epred7_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_48,c_0_25]) ).
cnf(c_0_62,plain,
( epred7_2(X1,X2)
| X1 != cell30
| X2 != cell20 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_63,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( epred5_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_26,c_0_27]) ).
cnf(c_0_64,plain,
( epred5_2(X1,X2)
| X1 != cell20
| X2 != cell10 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_65,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 ) ) ),
introduced(definition) ).
fof(c_0_66,plain,
! [X4,X3] :
( epred32_2(X3,X4)
<=> ( epred31_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_51,c_0_39]) ).
fof(c_0_67,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell38
| X5 = cell37
| X5 = cell36
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X5 = cell36
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X5 = cell36
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X5 = cell36
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X6 = cell37
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X6 = cell37
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X6 = cell37
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X6 = cell37
| X5 = cell35
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X5 = cell36
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X5 = cell36
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X5 = cell36
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X5 = cell36
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X6 = cell37
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X6 = cell37
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X6 = cell37
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X6 = cell37
| X6 = cell36
| X5 = cell34
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X5 = cell36
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X5 = cell36
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X5 = cell36
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X5 = cell36
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X6 = cell37
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X6 = cell37
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X6 = cell37
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X6 = cell37
| X5 = cell35
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X5 = cell36
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X5 = cell36
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X5 = cell36
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X5 = cell36
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X5 = cell37
| X6 = cell37
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X5 = cell37
| X6 = cell37
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X5 = cell38
| X6 = cell38
| X6 = cell37
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( X6 = cell39
| X6 = cell38
| X6 = cell37
| X6 = cell36
| X6 = cell35
| epred30_2(X6,X5)
| ~ epred31_2(X6,X5) )
& ( ~ epred30_2(X6,X5)
| epred31_2(X6,X5) )
& ( X5 != cell34
| X6 != cell35
| epred31_2(X6,X5) )
& ( X5 != cell35
| X6 != cell36
| epred31_2(X6,X5) )
& ( X5 != cell36
| X6 != cell37
| epred31_2(X6,X5) )
& ( X5 != cell37
| X6 != cell38
| epred31_2(X6,X5) )
& ( X5 != cell38
| X6 != cell39
| epred31_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])]) ).
cnf(c_0_68,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,plain,
epred29_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
epred28_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_42,c_0_56]) ).
cnf(c_0_71,plain,
epred27_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_32,c_0_57]) ).
cnf(c_0_72,plain,
epred26_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_21,c_0_58]) ).
cnf(c_0_73,plain,
epred25_2(cell6,cell5),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_74,plain,
( epred26_2(X1,X2)
| X1 != cell7
| X2 != cell6 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_75,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 ) ) ),
introduced(definition) ).
fof(c_0_76,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( epred8_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_60,c_0_48]) ).
fof(c_0_77,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( ~ epred7_2(X4,X3)
| epred8_2(X4,X3) )
& ( X3 != cell21
| X4 != cell31
| epred8_2(X4,X3) )
& ( X3 != cell22
| X4 != cell32
| epred8_2(X4,X3) )
& ( X3 != cell23
| X4 != cell33
| epred8_2(X4,X3) )
& ( X3 != cell24
| X4 != cell34
| epred8_2(X4,X3) )
& ( X3 != cell25
| X4 != cell35
| epred8_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])])]) ).
cnf(c_0_78,plain,
( epred7_2(X1,cell20)
| X1 != cell30 ),
inference(er,[status(thm)],[c_0_62]) ).
fof(c_0_79,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( ~ epred5_2(X4,X3)
| epred6_2(X4,X3) )
& ( X3 != cell11
| X4 != cell21
| epred6_2(X4,X3) )
& ( X3 != cell12
| X4 != cell22
| epred6_2(X4,X3) )
& ( X3 != cell13
| X4 != cell23
| epred6_2(X4,X3) )
& ( X3 != cell14
| X4 != cell24
| epred6_2(X4,X3) )
& ( X3 != cell15
| X4 != cell25
| epred6_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])])]) ).
cnf(c_0_80,plain,
( epred5_2(X1,cell10)
| X1 != cell20 ),
inference(er,[status(thm)],[c_0_64]) ).
fof(c_0_81,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 ) ) ),
introduced(definition) ).
fof(c_0_82,plain,
! [X4,X3] :
( epred33_2(X3,X4)
<=> ( epred32_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_65,c_0_51]) ).
fof(c_0_83,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell44
| X5 = cell43
| X5 = cell42
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X5 = cell42
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X5 = cell42
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X5 = cell42
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X6 = cell43
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X6 = cell43
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X6 = cell43
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X6 = cell43
| X5 = cell41
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X5 = cell42
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X5 = cell42
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X5 = cell42
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X5 = cell42
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X6 = cell43
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X6 = cell43
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X6 = cell43
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X6 = cell43
| X6 = cell42
| X5 = cell39
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X5 = cell42
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X5 = cell42
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X5 = cell42
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X5 = cell42
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X6 = cell43
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X6 = cell43
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X6 = cell43
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X6 = cell43
| X5 = cell41
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X5 = cell42
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X5 = cell42
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X5 = cell42
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X5 = cell42
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X5 = cell43
| X6 = cell43
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X5 = cell43
| X6 = cell43
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X5 = cell44
| X6 = cell44
| X6 = cell43
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( X6 = cell45
| X6 = cell44
| X6 = cell43
| X6 = cell42
| X6 = cell40
| epred31_2(X6,X5)
| ~ epred32_2(X6,X5) )
& ( ~ epred31_2(X6,X5)
| epred32_2(X6,X5) )
& ( X5 != cell39
| X6 != cell40
| epred32_2(X6,X5) )
& ( X5 != cell41
| X6 != cell42
| epred32_2(X6,X5) )
& ( X5 != cell42
| X6 != cell43
| epred32_2(X6,X5) )
& ( X5 != cell43
| X6 != cell44
| epred32_2(X6,X5) )
& ( X5 != cell44
| X6 != cell45
| epred32_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])])]) ).
cnf(c_0_84,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
epred30_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_86,plain,
epred29_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_54,c_0_70]) ).
cnf(c_0_87,plain,
epred28_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_42,c_0_71]) ).
cnf(c_0_88,plain,
epred27_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_32,c_0_72]) ).
cnf(c_0_89,plain,
epred26_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_21,c_0_73]) ).
cnf(c_0_90,plain,
( epred26_2(X1,cell6)
| X1 != cell7 ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_91,plain,
( epred26_2(X1,X2)
| X1 != cell8
| X2 != cell7 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_92,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 ) ) ),
introduced(definition) ).
fof(c_0_93,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( epred9_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_75,c_0_60]) ).
fof(c_0_94,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( ~ epred8_2(X4,X3)
| epred9_2(X4,X3) )
& ( X3 != cell26
| X4 != cell36
| epred9_2(X4,X3) )
& ( X3 != cell27
| X4 != cell37
| epred9_2(X4,X3) )
& ( X3 != cell28
| X4 != cell38
| epred9_2(X4,X3) )
& ( X3 != cell29
| X4 != cell39
| epred9_2(X4,X3) )
& ( X3 != cell30
| X4 != cell40
| epred9_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])])]) ).
cnf(c_0_95,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_96,plain,
epred7_2(cell30,cell20),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_97,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,plain,
epred5_2(cell20,cell10),
inference(er,[status(thm)],[c_0_80]) ).
fof(c_0_99,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 ) ) ),
introduced(definition) ).
fof(c_0_100,plain,
! [X4,X3] :
( epred34_2(X3,X4)
<=> ( epred33_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_81,c_0_65]) ).
fof(c_0_101,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell49
| X5 = cell48
| X5 = cell47
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X5 = cell47
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X5 = cell47
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X5 = cell47
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X6 = cell48
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X6 = cell48
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X6 = cell48
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X6 = cell48
| X5 = cell46
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X5 = cell47
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X5 = cell47
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X5 = cell47
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X5 = cell47
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X6 = cell48
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X6 = cell48
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X6 = cell48
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X6 = cell48
| X6 = cell47
| X5 = cell45
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X5 = cell47
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X5 = cell47
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X5 = cell47
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X5 = cell47
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X6 = cell48
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X6 = cell48
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X6 = cell48
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X6 = cell48
| X5 = cell46
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X5 = cell47
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X5 = cell47
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X5 = cell47
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X5 = cell47
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X5 = cell48
| X6 = cell48
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X5 = cell48
| X6 = cell48
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X5 = cell49
| X6 = cell49
| X6 = cell48
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( X6 = cell50
| X6 = cell49
| X6 = cell48
| X6 = cell47
| X6 = cell46
| epred32_2(X6,X5)
| ~ epred33_2(X6,X5) )
& ( ~ epred32_2(X6,X5)
| epred33_2(X6,X5) )
& ( X5 != cell45
| X6 != cell46
| epred33_2(X6,X5) )
& ( X5 != cell46
| X6 != cell47
| epred33_2(X6,X5) )
& ( X5 != cell47
| X6 != cell48
| epred33_2(X6,X5) )
& ( X5 != cell48
| X6 != cell49
| epred33_2(X6,X5) )
& ( X5 != cell49
| X6 != cell50
| epred33_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])])]) ).
cnf(c_0_102,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_103,plain,
epred31_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_104,plain,
epred30_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_68,c_0_86]) ).
cnf(c_0_105,plain,
epred29_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_54,c_0_87]) ).
cnf(c_0_106,plain,
epred28_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_42,c_0_88]) ).
cnf(c_0_107,plain,
epred27_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_108,plain,
epred26_2(cell7,cell6),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_109,plain,
( epred26_2(X1,cell7)
| X1 != cell8 ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_110,plain,
( epred26_2(X1,X2)
| X1 != cell9
| X2 != cell8 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_111,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 ) ) ),
introduced(definition) ).
fof(c_0_112,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( epred10_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_92,c_0_75]) ).
fof(c_0_113,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( ~ epred9_2(X4,X3)
| epred10_2(X4,X3) )
& ( X3 != cell31
| X4 != cell41
| epred10_2(X4,X3) )
& ( X3 != cell32
| X4 != cell42
| epred10_2(X4,X3) )
& ( X3 != cell33
| X4 != cell43
| epred10_2(X4,X3) )
& ( X3 != cell34
| X4 != cell44
| epred10_2(X4,X3) )
& ( X3 != cell35
| X4 != cell45
| epred10_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])])]) ).
cnf(c_0_114,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_115,plain,
epred8_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_116,plain,
( epred9_2(X1,X2)
| X1 != cell40
| X2 != cell30 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_117,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_118,plain,
epred6_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_119,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 ) ) ),
introduced(definition) ).
fof(c_0_120,plain,
! [X4,X3] :
( epred35_2(X3,X4)
<=> ( epred34_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_99,c_0_81]) ).
fof(c_0_121,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell55
| X5 = cell54
| X5 = cell53
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X5 = cell53
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X5 = cell53
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X5 = cell53
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X6 = cell54
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X6 = cell54
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X6 = cell54
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X6 = cell54
| X5 = cell52
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X5 = cell53
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X5 = cell53
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X5 = cell53
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X5 = cell53
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X6 = cell54
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X6 = cell54
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X6 = cell54
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X6 = cell54
| X6 = cell53
| X5 = cell51
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X5 = cell53
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X5 = cell53
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X5 = cell53
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X5 = cell53
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X6 = cell54
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X6 = cell54
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X6 = cell54
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X6 = cell54
| X5 = cell52
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X5 = cell53
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X5 = cell53
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X5 = cell53
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X5 = cell53
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X5 = cell54
| X6 = cell54
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X5 = cell54
| X6 = cell54
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X5 = cell55
| X6 = cell55
| X6 = cell54
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( X6 = cell56
| X6 = cell55
| X6 = cell54
| X6 = cell53
| X6 = cell52
| epred33_2(X6,X5)
| ~ epred34_2(X6,X5) )
& ( ~ epred33_2(X6,X5)
| epred34_2(X6,X5) )
& ( X5 != cell51
| X6 != cell52
| epred34_2(X6,X5) )
& ( X5 != cell52
| X6 != cell53
| epred34_2(X6,X5) )
& ( X5 != cell53
| X6 != cell54
| epred34_2(X6,X5) )
& ( X5 != cell54
| X6 != cell55
| epred34_2(X6,X5) )
& ( X5 != cell55
| X6 != cell56
| epred34_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])])]) ).
cnf(c_0_122,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_123,plain,
epred32_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_124,plain,
epred31_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_84,c_0_104]) ).
cnf(c_0_125,plain,
epred30_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_68,c_0_105]) ).
cnf(c_0_126,plain,
epred29_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_54,c_0_106]) ).
cnf(c_0_127,plain,
epred28_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_42,c_0_107]) ).
cnf(c_0_128,plain,
epred27_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_32,c_0_108]) ).
cnf(c_0_129,plain,
epred26_2(cell8,cell7),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_130,plain,
( epred26_2(X1,cell8)
| X1 != cell9 ),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_131,plain,
( epred26_2(X1,X2)
| X1 != cell10
| X2 != cell9 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_132,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 ) ) ),
introduced(definition) ).
fof(c_0_133,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( epred11_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_111,c_0_92]) ).
fof(c_0_134,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( ~ epred10_2(X4,X3)
| epred11_2(X4,X3) )
& ( X3 != cell36
| X4 != cell46
| epred11_2(X4,X3) )
& ( X3 != cell37
| X4 != cell47
| epred11_2(X4,X3) )
& ( X3 != cell38
| X4 != cell48
| epred11_2(X4,X3) )
& ( X3 != cell39
| X4 != cell49
| epred11_2(X4,X3) )
& ( X3 != cell40
| X4 != cell50
| epred11_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])])]) ).
cnf(c_0_135,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_136,plain,
epred9_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_137,plain,
( epred9_2(X1,cell30)
| X1 != cell40 ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_138,plain,
epred7_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
fof(c_0_139,plain,
! [X4,X3] :
( epred37_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) ).
fof(c_0_140,plain,
! [X4,X3] :
( epred36_2(X3,X4)
<=> ( epred35_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_119,c_0_99]) ).
fof(c_0_141,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell61
| X5 = cell59
| X5 = cell58
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X5 = cell58
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X5 = cell58
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X5 = cell58
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X6 = cell59
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X6 = cell59
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X6 = cell59
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X6 = cell59
| X5 = cell57
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X5 = cell58
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X5 = cell58
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X5 = cell58
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X5 = cell58
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X6 = cell59
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X6 = cell59
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X6 = cell59
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X6 = cell59
| X6 = cell58
| X5 = cell56
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X5 = cell58
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X5 = cell58
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X5 = cell58
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X5 = cell58
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X6 = cell59
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X6 = cell59
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X6 = cell59
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X6 = cell59
| X5 = cell57
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X5 = cell58
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X5 = cell58
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X5 = cell58
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X5 = cell58
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X5 = cell59
| X6 = cell59
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X5 = cell59
| X6 = cell59
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X5 = cell61
| X6 = cell60
| X6 = cell59
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( X6 = cell62
| X6 = cell60
| X6 = cell59
| X6 = cell58
| X6 = cell57
| epred34_2(X6,X5)
| ~ epred35_2(X6,X5) )
& ( ~ epred34_2(X6,X5)
| epred35_2(X6,X5) )
& ( X5 != cell56
| X6 != cell57
| epred35_2(X6,X5) )
& ( X5 != cell57
| X6 != cell58
| epred35_2(X6,X5) )
& ( X5 != cell58
| X6 != cell59
| epred35_2(X6,X5) )
& ( X5 != cell59
| X6 != cell60
| epred35_2(X6,X5) )
& ( X5 != cell61
| X6 != cell62
| epred35_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])])]) ).
cnf(c_0_142,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_143,plain,
epred33_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_144,plain,
epred32_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_102,c_0_124]) ).
cnf(c_0_145,plain,
epred31_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_84,c_0_125]) ).
cnf(c_0_146,plain,
epred30_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_68,c_0_126]) ).
cnf(c_0_147,plain,
epred29_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_54,c_0_127]) ).
cnf(c_0_148,plain,
epred28_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_42,c_0_128]) ).
cnf(c_0_149,plain,
epred27_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_32,c_0_129]) ).
cnf(c_0_150,plain,
epred26_2(cell9,cell8),
inference(er,[status(thm)],[c_0_130]) ).
cnf(c_0_151,plain,
( epred26_2(X1,cell9)
| X1 != cell10 ),
inference(er,[status(thm)],[c_0_131]) ).
fof(c_0_152,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 ) ) ),
introduced(definition) ).
fof(c_0_153,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( epred12_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_132,c_0_111]) ).
fof(c_0_154,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( ~ epred11_2(X4,X3)
| epred12_2(X4,X3) )
& ( X3 != cell41
| X4 != cell51
| epred12_2(X4,X3) )
& ( X3 != cell42
| X4 != cell52
| epred12_2(X4,X3) )
& ( X3 != cell43
| X4 != cell53
| epred12_2(X4,X3) )
& ( X3 != cell44
| X4 != cell54
| epred12_2(X4,X3) )
& ( X3 != cell45
| X4 != cell55
| epred12_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])])]) ).
cnf(c_0_155,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_156,plain,
epred10_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_157,plain,
epred9_2(cell40,cell30),
inference(er,[status(thm)],[c_0_137]) ).
cnf(c_0_158,plain,
epred8_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_95,c_0_138]) ).
fof(c_0_159,plain,
! [X4,X3] :
( epred38_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) ).
fof(c_0_160,plain,
! [X4,X3] :
( epred37_2(X3,X4)
<=> ( epred36_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_139,c_0_119]) ).
fof(c_0_161,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell66
| X5 = cell65
| X5 = cell64
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X5 = cell64
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X5 = cell64
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X5 = cell64
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X6 = cell65
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X6 = cell65
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X6 = cell65
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X6 = cell65
| X5 = cell63
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X5 = cell64
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X5 = cell64
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X5 = cell64
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X5 = cell64
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X6 = cell65
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X6 = cell65
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X6 = cell65
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X6 = cell65
| X6 = cell64
| X5 = cell62
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X5 = cell64
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X5 = cell64
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X5 = cell64
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X5 = cell64
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X6 = cell65
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X6 = cell65
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X6 = cell65
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X6 = cell65
| X5 = cell63
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X5 = cell64
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X5 = cell64
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X5 = cell64
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X5 = cell64
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X5 = cell65
| X6 = cell65
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X5 = cell65
| X6 = cell65
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X5 = cell66
| X6 = cell66
| X6 = cell65
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( X6 = cell67
| X6 = cell66
| X6 = cell65
| X6 = cell64
| X6 = cell63
| epred35_2(X6,X5)
| ~ epred36_2(X6,X5) )
& ( ~ epred35_2(X6,X5)
| epred36_2(X6,X5) )
& ( X5 != cell62
| X6 != cell63
| epred36_2(X6,X5) )
& ( X5 != cell63
| X6 != cell64
| epred36_2(X6,X5) )
& ( X5 != cell64
| X6 != cell65
| epred36_2(X6,X5) )
& ( X5 != cell65
| X6 != cell66
| epred36_2(X6,X5) )
& ( X5 != cell66
| X6 != cell67
| epred36_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])])])]) ).
cnf(c_0_162,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_163,plain,
epred34_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_164,plain,
epred33_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_122,c_0_144]) ).
cnf(c_0_165,plain,
epred32_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_102,c_0_145]) ).
cnf(c_0_166,plain,
epred31_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_84,c_0_146]) ).
cnf(c_0_167,plain,
epred30_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_68,c_0_147]) ).
cnf(c_0_168,plain,
epred29_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_54,c_0_148]) ).
cnf(c_0_169,plain,
epred28_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_42,c_0_149]) ).
cnf(c_0_170,plain,
epred27_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_32,c_0_150]) ).
cnf(c_0_171,plain,
epred26_2(cell10,cell9),
inference(er,[status(thm)],[c_0_151]) ).
fof(c_0_172,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 ) ) ),
introduced(definition) ).
fof(c_0_173,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( epred13_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_152,c_0_132]) ).
fof(c_0_174,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( ~ epred12_2(X4,X3)
| epred13_2(X4,X3) )
& ( X3 != cell46
| X4 != cell56
| epred13_2(X4,X3) )
& ( X3 != cell47
| X4 != cell57
| epred13_2(X4,X3) )
& ( X3 != cell48
| X4 != cell58
| epred13_2(X4,X3) )
& ( X3 != cell49
| X4 != cell59
| epred13_2(X4,X3) )
& ( X3 != cell50
| X4 != cell60
| epred13_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])])])])]) ).
cnf(c_0_175,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_176,plain,
epred11_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_177,plain,
epred10_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_135,c_0_157]) ).
cnf(c_0_178,plain,
epred9_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_114,c_0_158]) ).
fof(c_0_179,plain,
! [X4,X3] :
( epred39_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) ).
fof(c_0_180,plain,
! [X4,X3] :
( epred38_2(X3,X4)
<=> ( epred37_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_159,c_0_139]) ).
fof(c_0_181,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell72
| X5 = cell71
| X5 = cell69
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X5 = cell69
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X5 = cell69
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X5 = cell69
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X6 = cell70
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X6 = cell70
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X6 = cell70
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X6 = cell70
| X5 = cell68
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X5 = cell69
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X5 = cell69
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X5 = cell69
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X5 = cell69
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X6 = cell70
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X6 = cell70
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X6 = cell70
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X6 = cell70
| X6 = cell69
| X5 = cell67
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X5 = cell69
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X5 = cell69
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X5 = cell69
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X5 = cell69
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X6 = cell70
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X6 = cell70
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X6 = cell70
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X6 = cell70
| X5 = cell68
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X5 = cell69
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X5 = cell69
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X5 = cell69
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X5 = cell69
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X5 = cell71
| X6 = cell70
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X5 = cell71
| X6 = cell70
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X5 = cell72
| X6 = cell72
| X6 = cell70
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( X6 = cell73
| X6 = cell72
| X6 = cell70
| X6 = cell69
| X6 = cell68
| epred36_2(X6,X5)
| ~ epred37_2(X6,X5) )
& ( ~ epred36_2(X6,X5)
| epred37_2(X6,X5) )
& ( X5 != cell67
| X6 != cell68
| epred37_2(X6,X5) )
& ( X5 != cell68
| X6 != cell69
| epred37_2(X6,X5) )
& ( X5 != cell69
| X6 != cell70
| epred37_2(X6,X5) )
& ( X5 != cell71
| X6 != cell72
| epred37_2(X6,X5) )
& ( X5 != cell72
| X6 != cell73
| epred37_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_160])])])])]) ).
cnf(c_0_182,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_183,plain,
epred35_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_184,plain,
epred34_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_142,c_0_164]) ).
cnf(c_0_185,plain,
epred33_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_122,c_0_165]) ).
cnf(c_0_186,plain,
epred32_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_102,c_0_166]) ).
cnf(c_0_187,plain,
epred31_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_84,c_0_167]) ).
cnf(c_0_188,plain,
epred30_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_68,c_0_168]) ).
cnf(c_0_189,plain,
epred29_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_54,c_0_169]) ).
cnf(c_0_190,plain,
epred28_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_42,c_0_170]) ).
cnf(c_0_191,plain,
epred27_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_32,c_0_171]) ).
fof(c_0_192,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 ) ) ),
introduced(definition) ).
fof(c_0_193,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( epred14_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_172,c_0_152]) ).
fof(c_0_194,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( ~ epred13_2(X4,X3)
| epred14_2(X4,X3) )
& ( X3 != cell51
| X4 != cell61
| epred14_2(X4,X3) )
& ( X3 != cell52
| X4 != cell62
| epred14_2(X4,X3) )
& ( X3 != cell53
| X4 != cell63
| epred14_2(X4,X3) )
& ( X3 != cell54
| X4 != cell64
| epred14_2(X4,X3) )
& ( X3 != cell55
| X4 != cell65
| epred14_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_173])])])])]) ).
cnf(c_0_195,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_196,plain,
epred12_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_197,plain,
epred11_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_155,c_0_177]) ).
cnf(c_0_198,plain,
epred10_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_135,c_0_178]) ).
cnf(c_0_199,plain,
( epred11_2(X1,X2)
| X1 != cell50
| X2 != cell40 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
fof(c_0_200,plain,
! [X4,X3] :
( epred40_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_201,plain,
! [X4,X3] :
( epred39_2(X3,X4)
<=> ( epred38_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_179,c_0_159]) ).
fof(c_0_202,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell77
| X5 = cell76
| X5 = cell75
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X5 = cell75
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X5 = cell75
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X5 = cell75
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X6 = cell76
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X6 = cell76
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X6 = cell76
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X6 = cell76
| X5 = cell74
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X5 = cell75
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X5 = cell75
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X5 = cell75
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X5 = cell75
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X6 = cell76
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X6 = cell76
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X6 = cell76
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X6 = cell76
| X6 = cell75
| X5 = cell73
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X5 = cell75
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X5 = cell75
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X5 = cell75
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X5 = cell75
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X6 = cell76
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X6 = cell76
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X6 = cell76
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X6 = cell76
| X5 = cell74
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X5 = cell75
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X5 = cell75
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X5 = cell75
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X5 = cell75
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X5 = cell76
| X6 = cell76
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X5 = cell76
| X6 = cell76
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X5 = cell77
| X6 = cell77
| X6 = cell76
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( X6 = cell78
| X6 = cell77
| X6 = cell76
| X6 = cell75
| X6 = cell74
| epred37_2(X6,X5)
| ~ epred38_2(X6,X5) )
& ( ~ epred37_2(X6,X5)
| epred38_2(X6,X5) )
& ( X5 != cell73
| X6 != cell74
| epred38_2(X6,X5) )
& ( X5 != cell74
| X6 != cell75
| epred38_2(X6,X5) )
& ( X5 != cell75
| X6 != cell76
| epred38_2(X6,X5) )
& ( X5 != cell76
| X6 != cell77
| epred38_2(X6,X5) )
& ( X5 != cell77
| X6 != cell78
| epred38_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_180])])])])]) ).
cnf(c_0_203,plain,
( epred37_2(X1,X2)
| ~ epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_204,plain,
epred36_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_205,plain,
epred35_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_162,c_0_184]) ).
cnf(c_0_206,plain,
epred34_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_142,c_0_185]) ).
cnf(c_0_207,plain,
epred33_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_122,c_0_186]) ).
cnf(c_0_208,plain,
epred32_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_102,c_0_187]) ).
cnf(c_0_209,plain,
epred31_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_84,c_0_188]) ).
cnf(c_0_210,plain,
epred30_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_68,c_0_189]) ).
cnf(c_0_211,plain,
epred29_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_54,c_0_190]) ).
cnf(c_0_212,plain,
epred28_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_42,c_0_191]) ).
fof(c_0_213,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 ) ) ),
introduced(definition) ).
fof(c_0_214,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( epred15_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_192,c_0_172]) ).
fof(c_0_215,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( ~ epred14_2(X4,X3)
| epred15_2(X4,X3) )
& ( X3 != cell56
| X4 != cell66
| epred15_2(X4,X3) )
& ( X3 != cell57
| X4 != cell67
| epred15_2(X4,X3) )
& ( X3 != cell58
| X4 != cell68
| epred15_2(X4,X3) )
& ( X3 != cell59
| X4 != cell69
| epred15_2(X4,X3) )
& ( X3 != cell60
| X4 != cell70
| epred15_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_193])])])])]) ).
cnf(c_0_216,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_217,plain,
epred13_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_218,plain,
epred12_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_175,c_0_197]) ).
cnf(c_0_219,plain,
epred11_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_155,c_0_198]) ).
cnf(c_0_220,plain,
( epred11_2(X1,cell40)
| X1 != cell50 ),
inference(er,[status(thm)],[c_0_199]) ).
fof(c_0_221,plain,
! [X4,X3] :
( epred41_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_222,plain,
! [X4,X3] :
( epred40_2(X3,X4)
<=> ( epred39_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_200,c_0_179]) ).
fof(c_0_223,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell83
| X5 = cell82
| X5 = cell81
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X5 = cell81
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X5 = cell81
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X5 = cell81
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X6 = cell82
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X6 = cell82
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X6 = cell82
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X6 = cell82
| X5 = cell79
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X5 = cell81
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X5 = cell81
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X5 = cell81
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X5 = cell81
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X6 = cell82
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X6 = cell82
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X6 = cell82
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X6 = cell82
| X6 = cell80
| X5 = cell78
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X5 = cell81
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X5 = cell81
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X5 = cell81
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X5 = cell81
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X6 = cell82
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X6 = cell82
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X6 = cell82
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X6 = cell82
| X5 = cell79
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X5 = cell81
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X5 = cell81
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X5 = cell81
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X5 = cell81
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X5 = cell82
| X6 = cell82
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X5 = cell82
| X6 = cell82
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X5 = cell83
| X6 = cell83
| X6 = cell82
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( X6 = cell84
| X6 = cell83
| X6 = cell82
| X6 = cell80
| X6 = cell79
| epred38_2(X6,X5)
| ~ epred39_2(X6,X5) )
& ( ~ epred38_2(X6,X5)
| epred39_2(X6,X5) )
& ( X5 != cell78
| X6 != cell79
| epred39_2(X6,X5) )
& ( X5 != cell79
| X6 != cell80
| epred39_2(X6,X5) )
& ( X5 != cell81
| X6 != cell82
| epred39_2(X6,X5) )
& ( X5 != cell82
| X6 != cell83
| epred39_2(X6,X5) )
& ( X5 != cell83
| X6 != cell84
| epred39_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_201])])])])]) ).
cnf(c_0_224,plain,
( epred38_2(X1,X2)
| ~ epred37_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_225,plain,
epred37_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_226,plain,
epred36_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_182,c_0_205]) ).
cnf(c_0_227,plain,
epred35_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_162,c_0_206]) ).
cnf(c_0_228,plain,
epred34_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_142,c_0_207]) ).
cnf(c_0_229,plain,
epred33_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_122,c_0_208]) ).
cnf(c_0_230,plain,
epred32_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_102,c_0_209]) ).
cnf(c_0_231,plain,
epred31_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_84,c_0_210]) ).
cnf(c_0_232,plain,
epred30_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_68,c_0_211]) ).
cnf(c_0_233,plain,
epred29_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_54,c_0_212]) ).
fof(c_0_234,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 ) ) ),
introduced(definition) ).
fof(c_0_235,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( epred16_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_213,c_0_192]) ).
fof(c_0_236,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( ~ epred15_2(X4,X3)
| epred16_2(X4,X3) )
& ( X3 != cell61
| X4 != cell71
| epred16_2(X4,X3) )
& ( X3 != cell62
| X4 != cell72
| epred16_2(X4,X3) )
& ( X3 != cell63
| X4 != cell73
| epred16_2(X4,X3) )
& ( X3 != cell64
| X4 != cell74
| epred16_2(X4,X3) )
& ( X3 != cell65
| X4 != cell75
| epred16_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_214])])])])]) ).
cnf(c_0_237,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_238,plain,
epred14_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_239,plain,
epred13_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_195,c_0_218]) ).
cnf(c_0_240,plain,
epred12_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_175,c_0_219]) ).
cnf(c_0_241,plain,
epred11_2(cell50,cell40),
inference(er,[status(thm)],[c_0_220]) ).
fof(c_0_242,plain,
! [X4,X3] :
( epred42_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_243,plain,
! [X4,X3] :
( epred41_2(X3,X4)
<=> ( epred40_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_221,c_0_200]) ).
fof(c_0_244,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell88
| X5 = cell87
| X5 = cell86
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X5 = cell86
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X5 = cell86
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X5 = cell86
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X6 = cell87
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X6 = cell87
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X6 = cell87
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X6 = cell87
| X5 = cell85
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X5 = cell86
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X5 = cell86
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X5 = cell86
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X5 = cell86
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X6 = cell87
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X6 = cell87
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X6 = cell87
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X6 = cell87
| X6 = cell86
| X5 = cell84
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X5 = cell86
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X5 = cell86
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X5 = cell86
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X5 = cell86
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X6 = cell87
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X6 = cell87
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X6 = cell87
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X6 = cell87
| X5 = cell85
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X5 = cell86
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X5 = cell86
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X5 = cell86
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X5 = cell86
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X5 = cell87
| X6 = cell87
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X5 = cell87
| X6 = cell87
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X5 = cell88
| X6 = cell88
| X6 = cell87
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( X6 = cell89
| X6 = cell88
| X6 = cell87
| X6 = cell86
| X6 = cell85
| epred39_2(X6,X5)
| ~ epred40_2(X6,X5) )
& ( ~ epred39_2(X6,X5)
| epred40_2(X6,X5) )
& ( X5 != cell84
| X6 != cell85
| epred40_2(X6,X5) )
& ( X5 != cell85
| X6 != cell86
| epred40_2(X6,X5) )
& ( X5 != cell86
| X6 != cell87
| epred40_2(X6,X5) )
& ( X5 != cell87
| X6 != cell88
| epred40_2(X6,X5) )
& ( X5 != cell88
| X6 != cell89
| epred40_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_222])])])])]) ).
cnf(c_0_245,plain,
( epred39_2(X1,X2)
| ~ epred38_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_246,plain,
epred38_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_247,plain,
epred37_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_203,c_0_226]) ).
cnf(c_0_248,plain,
epred36_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_182,c_0_227]) ).
cnf(c_0_249,plain,
epred35_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_162,c_0_228]) ).
cnf(c_0_250,plain,
epred34_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_142,c_0_229]) ).
cnf(c_0_251,plain,
epred33_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_122,c_0_230]) ).
cnf(c_0_252,plain,
epred32_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_102,c_0_231]) ).
cnf(c_0_253,plain,
epred31_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_84,c_0_232]) ).
cnf(c_0_254,plain,
epred30_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_68,c_0_233]) ).
fof(c_0_255,plain,
! [X2,X1] :
( epred19_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) ).
fof(c_0_256,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( epred17_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_234,c_0_213]) ).
fof(c_0_257,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( ~ epred16_2(X4,X3)
| epred17_2(X4,X3) )
& ( X3 != cell66
| X4 != cell76
| epred17_2(X4,X3) )
& ( X3 != cell67
| X4 != cell77
| epred17_2(X4,X3) )
& ( X3 != cell68
| X4 != cell78
| epred17_2(X4,X3) )
& ( X3 != cell69
| X4 != cell79
| epred17_2(X4,X3) )
& ( X3 != cell70
| X4 != cell80
| epred17_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_235])])])])]) ).
cnf(c_0_258,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_259,plain,
epred15_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_260,plain,
epred14_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_216,c_0_239]) ).
cnf(c_0_261,plain,
epred13_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_195,c_0_240]) ).
cnf(c_0_262,plain,
epred12_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_175,c_0_241]) ).
cnf(c_0_263,plain,
( epred13_2(X1,X2)
| X1 != cell60
| X2 != cell50 ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
fof(c_0_264,plain,
! [X4,X3] :
( epred42_2(X3,X4)
<=> ( epred41_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_242,c_0_221]) ).
fof(c_0_265,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell94
| X5 = cell93
| X5 = cell92
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X5 = cell92
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X5 = cell92
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X5 = cell92
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X6 = cell93
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X6 = cell93
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X6 = cell93
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X6 = cell93
| X5 = cell91
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X5 = cell92
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X5 = cell92
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X5 = cell92
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X5 = cell92
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X6 = cell93
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X6 = cell93
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X6 = cell93
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X6 = cell93
| X6 = cell92
| X5 = cell89
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X5 = cell92
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X5 = cell92
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X5 = cell92
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X5 = cell92
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X6 = cell93
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X6 = cell93
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X6 = cell93
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X6 = cell93
| X5 = cell91
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X5 = cell92
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X5 = cell92
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X5 = cell92
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X5 = cell92
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X5 = cell93
| X6 = cell93
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X5 = cell93
| X6 = cell93
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X5 = cell94
| X6 = cell94
| X6 = cell93
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( X6 = cell95
| X6 = cell94
| X6 = cell93
| X6 = cell92
| X6 = cell90
| epred40_2(X6,X5)
| ~ epred41_2(X6,X5) )
& ( ~ epred40_2(X6,X5)
| epred41_2(X6,X5) )
& ( X5 != cell89
| X6 != cell90
| epred41_2(X6,X5) )
& ( X5 != cell91
| X6 != cell92
| epred41_2(X6,X5) )
& ( X5 != cell92
| X6 != cell93
| epred41_2(X6,X5) )
& ( X5 != cell93
| X6 != cell94
| epred41_2(X6,X5) )
& ( X5 != cell94
| X6 != cell95
| epred41_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_243])])])])]) ).
cnf(c_0_266,plain,
( epred40_2(X1,X2)
| ~ epred39_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_267,plain,
epred39_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_268,plain,
epred38_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_224,c_0_247]) ).
cnf(c_0_269,plain,
epred37_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_203,c_0_248]) ).
cnf(c_0_270,plain,
epred36_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_182,c_0_249]) ).
cnf(c_0_271,plain,
epred35_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_162,c_0_250]) ).
cnf(c_0_272,plain,
epred34_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_142,c_0_251]) ).
cnf(c_0_273,plain,
epred33_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_122,c_0_252]) ).
cnf(c_0_274,plain,
epred32_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_102,c_0_253]) ).
cnf(c_0_275,plain,
epred31_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_84,c_0_254]) ).
fof(c_0_276,plain,
! [X2,X1] :
( epred20_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) ).
fof(c_0_277,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( epred18_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_255,c_0_234]) ).
fof(c_0_278,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( ~ epred17_2(X4,X3)
| epred18_2(X4,X3) )
& ( X3 != cell71
| X4 != cell81
| epred18_2(X4,X3) )
& ( X3 != cell72
| X4 != cell82
| epred18_2(X4,X3) )
& ( X3 != cell73
| X4 != cell83
| epred18_2(X4,X3) )
& ( X3 != cell74
| X4 != cell84
| epred18_2(X4,X3) )
& ( X3 != cell75
| X4 != cell85
| epred18_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_256])])])])]) ).
cnf(c_0_279,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_280,plain,
epred16_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_281,plain,
epred15_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_237,c_0_260]) ).
cnf(c_0_282,plain,
epred14_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_216,c_0_261]) ).
cnf(c_0_283,plain,
epred13_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_195,c_0_262]) ).
cnf(c_0_284,plain,
( epred13_2(X1,cell50)
| X1 != cell60 ),
inference(er,[status(thm)],[c_0_263]) ).
fof(c_0_285,plain,
! [X44,X43] :
( epred24_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_286,plain,
! [X44,X43] :
( epred23_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) ).
fof(c_0_287,axiom,
! [X3,X4] :
( north(X4,X3)
<=> epred42_2(X3,X4) ),
inference(apply_def,[status(thm)],[tlhfof34976,c_0_242]) ).
fof(c_0_288,plain,
! [X5,X6,X5,X6] :
( ( X5 = cell99
| X5 = cell98
| X5 = cell97
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X5 = cell97
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X5 = cell97
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X5 = cell97
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X6 = cell98
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X6 = cell98
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X6 = cell98
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X6 = cell98
| X5 = cell96
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X5 = cell97
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X5 = cell97
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X5 = cell97
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X5 = cell97
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X6 = cell98
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X6 = cell98
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X6 = cell98
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X6 = cell98
| X6 = cell97
| X5 = cell95
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X5 = cell97
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X5 = cell97
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X5 = cell97
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X5 = cell97
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X6 = cell98
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X6 = cell98
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X6 = cell98
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X6 = cell98
| X5 = cell96
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X5 = cell97
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X5 = cell97
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X5 = cell97
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X5 = cell97
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X5 = cell98
| X6 = cell98
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X5 = cell98
| X6 = cell98
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X5 = cell99
| X6 = cell99
| X6 = cell98
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( X6 = cell100
| X6 = cell99
| X6 = cell98
| X6 = cell97
| X6 = cell96
| epred41_2(X6,X5)
| ~ epred42_2(X6,X5) )
& ( ~ epred41_2(X6,X5)
| epred42_2(X6,X5) )
& ( X5 != cell95
| X6 != cell96
| epred42_2(X6,X5) )
& ( X5 != cell96
| X6 != cell97
| epred42_2(X6,X5) )
& ( X5 != cell97
| X6 != cell98
| epred42_2(X6,X5) )
& ( X5 != cell98
| X6 != cell99
| epred42_2(X6,X5) )
& ( X5 != cell99
| X6 != cell100
| epred42_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_264])])])])]) ).
cnf(c_0_289,plain,
( epred41_2(X1,X2)
| ~ epred40_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_290,plain,
epred40_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_291,plain,
epred39_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_245,c_0_268]) ).
cnf(c_0_292,plain,
epred38_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_224,c_0_269]) ).
cnf(c_0_293,plain,
epred37_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_203,c_0_270]) ).
cnf(c_0_294,plain,
epred36_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_182,c_0_271]) ).
cnf(c_0_295,plain,
epred35_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_162,c_0_272]) ).
cnf(c_0_296,plain,
epred34_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_142,c_0_273]) ).
cnf(c_0_297,plain,
epred33_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_122,c_0_274]) ).
cnf(c_0_298,plain,
epred32_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_102,c_0_275]) ).
fof(c_0_299,plain,
! [X2,X1] :
( epred21_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_300,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( epred19_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_276,c_0_255]) ).
fof(c_0_301,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( ~ epred18_2(X4,X3)
| epred19_2(X4,X3) )
& ( X3 != cell76
| X4 != cell86
| epred19_2(X4,X3) )
& ( X3 != cell77
| X4 != cell87
| epred19_2(X4,X3) )
& ( X3 != cell78
| X4 != cell88
| epred19_2(X4,X3) )
& ( X3 != cell79
| X4 != cell89
| epred19_2(X4,X3) )
& ( X3 != cell80
| X4 != cell90
| epred19_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_277])])])])]) ).
cnf(c_0_302,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_303,plain,
epred17_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_304,plain,
epred16_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_258,c_0_281]) ).
cnf(c_0_305,plain,
epred15_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_237,c_0_282]) ).
cnf(c_0_306,plain,
epred14_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_216,c_0_283]) ).
cnf(c_0_307,plain,
epred13_2(cell60,cell50),
inference(er,[status(thm)],[c_0_284]) ).
fof(c_0_308,plain,
! [X44,X43] :
( epred24_2(X43,X44)
<=> ( epred23_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_285,c_0_286]) ).
fof(c_0_309,plain,
! [X5,X6,X5,X6] :
( ( ~ north(X6,X5)
| epred42_2(X5,X6) )
& ( ~ epred42_2(X5,X6)
| north(X6,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_287])])])]) ).
cnf(c_0_310,plain,
( epred42_2(X1,X2)
| ~ epred41_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_311,plain,
epred41_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_312,plain,
epred40_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_266,c_0_291]) ).
cnf(c_0_313,plain,
epred39_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_245,c_0_292]) ).
cnf(c_0_314,plain,
epred38_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_224,c_0_293]) ).
cnf(c_0_315,plain,
epred37_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_203,c_0_294]) ).
cnf(c_0_316,plain,
epred36_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_182,c_0_295]) ).
cnf(c_0_317,plain,
epred35_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_162,c_0_296]) ).
cnf(c_0_318,plain,
epred34_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_142,c_0_297]) ).
cnf(c_0_319,plain,
epred33_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_122,c_0_298]) ).
fof(c_0_320,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( epred20_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_299,c_0_276]) ).
fof(c_0_321,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( ~ epred19_2(X4,X3)
| epred20_2(X4,X3) )
& ( X3 != cell81
| X4 != cell91
| epred20_2(X4,X3) )
& ( X3 != cell82
| X4 != cell92
| epred20_2(X4,X3) )
& ( X3 != cell83
| X4 != cell93
| epred20_2(X4,X3) )
& ( X3 != cell84
| X4 != cell94
| epred20_2(X4,X3) )
& ( X3 != cell85
| X4 != cell95
| epred20_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_300])])])])]) ).
cnf(c_0_322,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_323,plain,
epred18_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_324,plain,
epred17_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_279,c_0_304]) ).
cnf(c_0_325,plain,
epred16_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_258,c_0_305]) ).
cnf(c_0_326,plain,
epred15_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_237,c_0_306]) ).
cnf(c_0_327,plain,
epred14_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_216,c_0_307]) ).
cnf(c_0_328,plain,
( epred15_2(X1,X2)
| X1 != cell70
| X2 != cell60 ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
fof(c_0_329,plain,
! [X81,X82,X81,X82,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112] :
( ( north(X81,esk66_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(X81,esk59_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk59_2(X81,X82),esk60_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk60_2(X81,X82),esk61_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk61_2(X81,X82),esk62_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk62_2(X81,X82),esk63_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk63_2(X81,X82),esk64_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk64_2(X81,X82),esk65_2(X81,X82))
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(X81,esk66_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk66_2(X81,X82),esk67_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk67_2(X81,X82),esk68_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk68_2(X81,X82),esk69_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk69_2(X81,X82),esk70_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk70_2(X81,X82),esk71_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk71_2(X81,X82),esk72_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk72_2(X81,X82),esk73_2(X81,X82))
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( north(esk73_2(X81,X82),X82)
| north(esk65_2(X81,X82),X82)
| epred23_2(X82,X81)
| ~ epred24_2(X82,X81) )
& ( ~ epred23_2(X82,X81)
| epred24_2(X82,X81) )
& ( ~ north(X81,X98)
| ~ north(X98,X99)
| ~ north(X99,X100)
| ~ north(X100,X101)
| ~ north(X101,X102)
| ~ north(X102,X103)
| ~ north(X103,X104)
| ~ north(X104,X82)
| epred24_2(X82,X81) )
& ( ~ north(X81,X105)
| ~ north(X105,X106)
| ~ north(X106,X107)
| ~ north(X107,X108)
| ~ north(X108,X109)
| ~ north(X109,X110)
| ~ north(X110,X111)
| ~ north(X111,X112)
| ~ north(X112,X82)
| epred24_2(X82,X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_308])])])])])])]) ).
cnf(c_0_330,plain,
( north(X1,X2)
| ~ epred42_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_309]) ).
cnf(c_0_331,plain,
epred42_2(cell3,cell2),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_332,plain,
epred41_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_289,c_0_312]) ).
cnf(c_0_333,plain,
epred40_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_266,c_0_313]) ).
cnf(c_0_334,plain,
epred39_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_245,c_0_314]) ).
cnf(c_0_335,plain,
epred38_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_224,c_0_315]) ).
cnf(c_0_336,plain,
epred37_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_203,c_0_316]) ).
cnf(c_0_337,plain,
epred36_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_182,c_0_317]) ).
cnf(c_0_338,plain,
epred35_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_162,c_0_318]) ).
cnf(c_0_339,plain,
epred34_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_142,c_0_319]) ).
fof(c_0_340,plain,
! [X6,X5] :
( epred3_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_341,plain,
! [X6,X5] :
( epred2_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) ).
fof(c_0_342,axiom,
! [X1,X2] :
( west(X2,X1)
<=> epred21_2(X1,X2) ),
inference(apply_def,[status(thm)],[tlhfof34975,c_0_299]) ).
fof(c_0_343,plain,
! [X3,X4,X3,X4] :
( ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( ~ epred20_2(X4,X3)
| epred21_2(X4,X3) )
& ( X3 != cell86
| X4 != cell96
| epred21_2(X4,X3) )
& ( X3 != cell87
| X4 != cell97
| epred21_2(X4,X3) )
& ( X3 != cell88
| X4 != cell98
| epred21_2(X4,X3) )
& ( X3 != cell89
| X4 != cell99
| epred21_2(X4,X3) )
& ( X3 != cell90
| X4 != cell100
| epred21_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_320])])])])]) ).
cnf(c_0_344,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_321]) ).
cnf(c_0_345,plain,
epred19_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_346,plain,
epred18_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_302,c_0_324]) ).
cnf(c_0_347,plain,
epred17_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_279,c_0_325]) ).
cnf(c_0_348,plain,
epred16_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_258,c_0_326]) ).
cnf(c_0_349,plain,
epred15_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_237,c_0_327]) ).
cnf(c_0_350,plain,
( epred15_2(X1,cell60)
| X1 != cell70 ),
inference(er,[status(thm)],[c_0_328]) ).
cnf(c_0_351,plain,
( epred24_2(X1,X2)
| ~ north(X3,X1)
| ~ north(X4,X3)
| ~ north(X5,X4)
| ~ north(X6,X5)
| ~ north(X7,X6)
| ~ north(X8,X7)
| ~ north(X9,X8)
| ~ north(X10,X9)
| ~ north(X2,X10) ),
inference(split_conjunct,[status(thm)],[c_0_329]) ).
cnf(c_0_352,plain,
north(cell2,cell3),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_353,plain,
epred42_2(cell4,cell3),
inference(spm,[status(thm)],[c_0_310,c_0_332]) ).
cnf(c_0_354,plain,
epred41_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_289,c_0_333]) ).
cnf(c_0_355,plain,
epred40_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_266,c_0_334]) ).
cnf(c_0_356,plain,
epred39_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_245,c_0_335]) ).
cnf(c_0_357,plain,
epred38_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_224,c_0_336]) ).
cnf(c_0_358,plain,
epred37_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_203,c_0_337]) ).
cnf(c_0_359,plain,
epred36_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_182,c_0_338]) ).
cnf(c_0_360,plain,
epred35_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_162,c_0_339]) ).
fof(c_0_361,plain,
! [X6,X5] :
( epred3_2(X5,X6)
<=> ( epred2_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_340,c_0_341]) ).
fof(c_0_362,plain,
! [X3,X4,X3,X4] :
( ( ~ west(X4,X3)
| epred21_2(X3,X4) )
& ( ~ epred21_2(X3,X4)
| west(X4,X3) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_342])])])]) ).
cnf(c_0_363,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_343]) ).
cnf(c_0_364,plain,
epred20_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_365,plain,
epred19_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_322,c_0_346]) ).
cnf(c_0_366,plain,
epred18_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_302,c_0_347]) ).
cnf(c_0_367,plain,
epred17_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_279,c_0_348]) ).
cnf(c_0_368,plain,
epred16_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_258,c_0_349]) ).
cnf(c_0_369,plain,
epred15_2(cell70,cell60),
inference(er,[status(thm)],[c_0_350]) ).
cnf(c_0_370,plain,
( epred24_2(X1,X2)
| ~ north(cell3,X3)
| ~ north(X2,cell2)
| ~ north(X3,X4)
| ~ north(X4,X5)
| ~ north(X5,X6)
| ~ north(X6,X7)
| ~ north(X7,X8)
| ~ north(X8,X1) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_371,plain,
north(cell3,cell4),
inference(spm,[status(thm)],[c_0_330,c_0_353]) ).
cnf(c_0_372,plain,
epred42_2(cell2,cell1),
inference(spm,[status(thm)],[c_0_310,c_0_354]) ).
cnf(c_0_373,plain,
epred41_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_289,c_0_355]) ).
cnf(c_0_374,plain,
epred40_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_266,c_0_356]) ).
cnf(c_0_375,plain,
epred39_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_245,c_0_357]) ).
cnf(c_0_376,plain,
epred38_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_224,c_0_358]) ).
cnf(c_0_377,plain,
epred37_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_203,c_0_359]) ).
cnf(c_0_378,plain,
epred36_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_182,c_0_360]) ).
fof(c_0_379,plain,
! [X43,X44,X43,X44,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74] :
( ( west(X43,esk30_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(X43,esk23_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk23_2(X43,X44),esk24_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk24_2(X43,X44),esk25_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk25_2(X43,X44),esk26_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk26_2(X43,X44),esk27_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk27_2(X43,X44),esk28_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk28_2(X43,X44),esk29_2(X43,X44))
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(X43,esk30_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk30_2(X43,X44),esk31_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk31_2(X43,X44),esk32_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk32_2(X43,X44),esk33_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk33_2(X43,X44),esk34_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk34_2(X43,X44),esk35_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk35_2(X43,X44),esk36_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk36_2(X43,X44),esk37_2(X43,X44))
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( west(esk37_2(X43,X44),X44)
| west(esk29_2(X43,X44),X44)
| epred2_2(X44,X43)
| ~ epred3_2(X44,X43) )
& ( ~ epred2_2(X44,X43)
| epred3_2(X44,X43) )
& ( ~ west(X43,X60)
| ~ west(X60,X61)
| ~ west(X61,X62)
| ~ west(X62,X63)
| ~ west(X63,X64)
| ~ west(X64,X65)
| ~ west(X65,X66)
| ~ west(X66,X44)
| epred3_2(X44,X43) )
& ( ~ west(X43,X67)
| ~ west(X67,X68)
| ~ west(X68,X69)
| ~ west(X69,X70)
| ~ west(X70,X71)
| ~ west(X71,X72)
| ~ west(X72,X73)
| ~ west(X73,X74)
| ~ west(X74,X44)
| epred3_2(X44,X43) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_361])])])])])])]) ).
cnf(c_0_380,plain,
( west(X1,X2)
| ~ epred21_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_381,plain,
epred21_2(cell30,cell20),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_382,plain,
epred20_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_344,c_0_365]) ).
cnf(c_0_383,plain,
epred19_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_322,c_0_366]) ).
cnf(c_0_384,plain,
epred18_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_302,c_0_367]) ).
cnf(c_0_385,plain,
epred17_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_279,c_0_368]) ).
cnf(c_0_386,plain,
epred16_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_258,c_0_369]) ).
cnf(c_0_387,plain,
( epred17_2(X1,X2)
| X1 != cell80
| X2 != cell70 ),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_388,plain,
( epred24_2(X1,X2)
| ~ north(X2,cell2)
| ~ north(cell4,X3)
| ~ north(X3,X4)
| ~ north(X4,X5)
| ~ north(X5,X6)
| ~ north(X6,X7)
| ~ north(X7,X1) ),
inference(spm,[status(thm)],[c_0_370,c_0_371]) ).
cnf(c_0_389,plain,
north(cell1,cell2),
inference(spm,[status(thm)],[c_0_330,c_0_372]) ).
cnf(c_0_390,plain,
epred42_2(cell5,cell4),
inference(spm,[status(thm)],[c_0_310,c_0_373]) ).
cnf(c_0_391,plain,
epred41_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_289,c_0_374]) ).
cnf(c_0_392,plain,
epred40_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_266,c_0_375]) ).
cnf(c_0_393,plain,
epred39_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_245,c_0_376]) ).
cnf(c_0_394,plain,
epred38_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_224,c_0_377]) ).
cnf(c_0_395,plain,
epred37_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_203,c_0_378]) ).
cnf(c_0_396,plain,
( epred3_2(X1,X2)
| ~ west(X3,X1)
| ~ west(X4,X3)
| ~ west(X5,X4)
| ~ west(X6,X5)
| ~ west(X7,X6)
| ~ west(X8,X7)
| ~ west(X9,X8)
| ~ west(X10,X9)
| ~ west(X2,X10) ),
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_397,plain,
west(cell20,cell30),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_398,plain,
epred21_2(cell40,cell30),
inference(spm,[status(thm)],[c_0_363,c_0_382]) ).
cnf(c_0_399,plain,
epred20_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_344,c_0_383]) ).
cnf(c_0_400,plain,
epred19_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_322,c_0_384]) ).
cnf(c_0_401,plain,
epred18_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_302,c_0_385]) ).
cnf(c_0_402,plain,
epred17_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_279,c_0_386]) ).
cnf(c_0_403,plain,
( epred17_2(X1,cell70)
| X1 != cell80 ),
inference(er,[status(thm)],[c_0_387]) ).
cnf(c_0_404,plain,
( epred24_2(X1,cell1)
| ~ north(cell4,X2)
| ~ north(X2,X3)
| ~ north(X3,X4)
| ~ north(X4,X5)
| ~ north(X5,X6)
| ~ north(X6,X1) ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_405,plain,
north(cell4,cell5),
inference(spm,[status(thm)],[c_0_330,c_0_390]) ).
cnf(c_0_406,plain,
epred42_2(cell6,cell5),
inference(spm,[status(thm)],[c_0_310,c_0_391]) ).
cnf(c_0_407,plain,
epred41_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_289,c_0_392]) ).
cnf(c_0_408,plain,
epred40_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_266,c_0_393]) ).
cnf(c_0_409,plain,
epred39_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_245,c_0_394]) ).
cnf(c_0_410,plain,
epred38_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_224,c_0_395]) ).
cnf(c_0_411,plain,
( epred3_2(X1,X2)
| ~ west(cell30,X3)
| ~ west(X2,cell20)
| ~ west(X3,X4)
| ~ west(X4,X5)
| ~ west(X5,X6)
| ~ west(X6,X7)
| ~ west(X7,X8)
| ~ west(X8,X1) ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_412,plain,
west(cell30,cell40),
inference(spm,[status(thm)],[c_0_380,c_0_398]) ).
cnf(c_0_413,plain,
epred21_2(cell20,cell10),
inference(spm,[status(thm)],[c_0_363,c_0_399]) ).
cnf(c_0_414,plain,
epred20_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_344,c_0_400]) ).
cnf(c_0_415,plain,
epred19_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_322,c_0_401]) ).
cnf(c_0_416,plain,
epred18_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_302,c_0_402]) ).
cnf(c_0_417,plain,
epred17_2(cell80,cell70),
inference(er,[status(thm)],[c_0_403]) ).
cnf(c_0_418,plain,
( epred24_2(X1,cell1)
| ~ north(cell5,X2)
| ~ north(X2,X3)
| ~ north(X3,X4)
| ~ north(X4,X5)
| ~ north(X5,X1) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_419,plain,
north(cell5,cell6),
inference(spm,[status(thm)],[c_0_330,c_0_406]) ).
cnf(c_0_420,plain,
epred42_2(cell7,cell6),
inference(spm,[status(thm)],[c_0_310,c_0_407]) ).
cnf(c_0_421,plain,
epred41_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_289,c_0_408]) ).
cnf(c_0_422,plain,
epred40_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_266,c_0_409]) ).
cnf(c_0_423,plain,
epred39_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_245,c_0_410]) ).
cnf(c_0_424,plain,
( epred3_2(X1,X2)
| ~ west(X2,cell20)
| ~ west(cell40,X3)
| ~ west(X3,X4)
| ~ west(X4,X5)
| ~ west(X5,X6)
| ~ west(X6,X7)
| ~ west(X7,X1) ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_425,plain,
west(cell10,cell20),
inference(spm,[status(thm)],[c_0_380,c_0_413]) ).
cnf(c_0_426,plain,
epred21_2(cell50,cell40),
inference(spm,[status(thm)],[c_0_363,c_0_414]) ).
cnf(c_0_427,plain,
epred20_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_344,c_0_415]) ).
cnf(c_0_428,plain,
epred19_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_322,c_0_416]) ).
cnf(c_0_429,plain,
epred18_2(cell80,cell70),
inference(spm,[status(thm)],[c_0_302,c_0_417]) ).
cnf(c_0_430,plain,
( epred19_2(X1,X2)
| X1 != cell90
| X2 != cell80 ),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_431,plain,
( epred24_2(X1,cell1)
| ~ north(cell6,X2)
| ~ north(X2,X3)
| ~ north(X3,X4)
| ~ north(X4,X1) ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_432,plain,
north(cell6,cell7),
inference(spm,[status(thm)],[c_0_330,c_0_420]) ).
cnf(c_0_433,plain,
epred42_2(cell8,cell7),
inference(spm,[status(thm)],[c_0_310,c_0_421]) ).
cnf(c_0_434,plain,
epred41_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_289,c_0_422]) ).
cnf(c_0_435,plain,
epred40_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_266,c_0_423]) ).
cnf(c_0_436,plain,
( epred3_2(X1,cell10)
| ~ west(cell40,X2)
| ~ west(X2,X3)
| ~ west(X3,X4)
| ~ west(X4,X5)
| ~ west(X5,X6)
| ~ west(X6,X1) ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_437,plain,
west(cell40,cell50),
inference(spm,[status(thm)],[c_0_380,c_0_426]) ).
cnf(c_0_438,plain,
epred21_2(cell60,cell50),
inference(spm,[status(thm)],[c_0_363,c_0_427]) ).
cnf(c_0_439,plain,
epred20_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_344,c_0_428]) ).
cnf(c_0_440,plain,
epred19_2(cell80,cell70),
inference(spm,[status(thm)],[c_0_322,c_0_429]) ).
cnf(c_0_441,plain,
( epred19_2(X1,cell80)
| X1 != cell90 ),
inference(er,[status(thm)],[c_0_430]) ).
cnf(c_0_442,plain,
( epred24_2(X1,cell1)
| ~ north(cell7,X2)
| ~ north(X2,X3)
| ~ north(X3,X1) ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_443,plain,
north(cell7,cell8),
inference(spm,[status(thm)],[c_0_330,c_0_433]) ).
cnf(c_0_444,plain,
epred42_2(cell9,cell8),
inference(spm,[status(thm)],[c_0_310,c_0_434]) ).
cnf(c_0_445,plain,
epred41_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_289,c_0_435]) ).
cnf(c_0_446,plain,
( epred3_2(X1,cell10)
| ~ west(cell50,X2)
| ~ west(X2,X3)
| ~ west(X3,X4)
| ~ west(X4,X5)
| ~ west(X5,X1) ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_447,plain,
west(cell50,cell60),
inference(spm,[status(thm)],[c_0_380,c_0_438]) ).
cnf(c_0_448,plain,
epred21_2(cell70,cell60),
inference(spm,[status(thm)],[c_0_363,c_0_439]) ).
cnf(c_0_449,plain,
epred20_2(cell80,cell70),
inference(spm,[status(thm)],[c_0_344,c_0_440]) ).
cnf(c_0_450,plain,
epred19_2(cell90,cell80),
inference(er,[status(thm)],[c_0_441]) ).
fof(c_0_451,axiom,
! [X43,X44] :
( duenorth(X44,X43)
<=> epred24_2(X43,X44) ),
inference(apply_def,[status(thm)],[tlhfof34978,c_0_285]) ).
cnf(c_0_452,plain,
( epred24_2(X1,cell1)
| ~ north(cell8,X2)
| ~ north(X2,X1) ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_453,plain,
north(cell8,cell9),
inference(spm,[status(thm)],[c_0_330,c_0_444]) ).
cnf(c_0_454,plain,
epred42_2(cell10,cell9),
inference(spm,[status(thm)],[c_0_310,c_0_445]) ).
cnf(c_0_455,plain,
( epred3_2(X1,cell10)
| ~ west(cell60,X2)
| ~ west(X2,X3)
| ~ west(X3,X4)
| ~ west(X4,X1) ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_456,plain,
west(cell60,cell70),
inference(spm,[status(thm)],[c_0_380,c_0_448]) ).
cnf(c_0_457,plain,
epred21_2(cell80,cell70),
inference(spm,[status(thm)],[c_0_363,c_0_449]) ).
cnf(c_0_458,plain,
epred20_2(cell90,cell80),
inference(spm,[status(thm)],[c_0_344,c_0_450]) ).
cnf(c_0_459,plain,
( epred21_2(X1,X2)
| X1 != cell100
| X2 != cell90 ),
inference(split_conjunct,[status(thm)],[c_0_343]) ).
fof(c_0_460,plain,
! [X45,X46,X45,X46] :
( ( ~ duenorth(X46,X45)
| epred24_2(X45,X46) )
& ( ~ epred24_2(X45,X46)
| duenorth(X46,X45) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_451])])])]) ).
cnf(c_0_461,plain,
( epred24_2(X1,cell1)
| ~ north(cell9,X1) ),
inference(spm,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_462,plain,
north(cell9,cell10),
inference(spm,[status(thm)],[c_0_330,c_0_454]) ).
cnf(c_0_463,plain,
( epred3_2(X1,cell10)
| ~ west(cell70,X2)
| ~ west(X2,X3)
| ~ west(X3,X1) ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_464,plain,
west(cell70,cell80),
inference(spm,[status(thm)],[c_0_380,c_0_457]) ).
cnf(c_0_465,plain,
epred21_2(cell90,cell80),
inference(spm,[status(thm)],[c_0_363,c_0_458]) ).
cnf(c_0_466,plain,
( epred21_2(X1,cell90)
| X1 != cell100 ),
inference(er,[status(thm)],[c_0_459]) ).
fof(c_0_467,plain,
! [X83,X84,X83,X84] :
( ( ~ vert(X84,X83)
| duenorth(X84,X83)
| duenorth(X83,X84) )
& ( ~ duenorth(X84,X83)
| vert(X84,X83) )
& ( ~ duenorth(X83,X84)
| vert(X84,X83) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof34979])])])])]) ).
cnf(c_0_468,plain,
( duenorth(X1,X2)
| ~ epred24_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_469,plain,
epred24_2(cell10,cell1),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
fof(c_0_470,axiom,
! [X5,X6] :
( duewest(X6,X5)
<=> epred3_2(X5,X6) ),
inference(apply_def,[status(thm)],[tlhfof34977,c_0_340]) ).
cnf(c_0_471,plain,
( epred3_2(X1,cell10)
| ~ west(cell80,X2)
| ~ west(X2,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_472,plain,
west(cell80,cell90),
inference(spm,[status(thm)],[c_0_380,c_0_465]) ).
cnf(c_0_473,plain,
epred21_2(cell100,cell90),
inference(er,[status(thm)],[c_0_466]) ).
fof(c_0_474,plain,
! [X84,X85,X84,X85,X87] :
( ( vert(X85,esk1_2(X84,X85))
| duewest(X85,X84)
| ~ westof(X85,X84) )
& ( duewest(esk1_2(X84,X85),X84)
| duewest(X85,X84)
| ~ westof(X85,X84) )
& ( ~ duewest(X85,X84)
| westof(X85,X84) )
& ( ~ vert(X85,X87)
| ~ duewest(X87,X84)
| westof(X85,X84) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof34980])])])])])])]) ).
cnf(c_0_475,plain,
( vert(X1,X2)
| ~ duenorth(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_467]) ).
cnf(c_0_476,plain,
duenorth(cell1,cell10),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
fof(c_0_477,plain,
! [X7,X8,X7,X8] :
( ( ~ duewest(X8,X7)
| epred3_2(X7,X8) )
& ( ~ epred3_2(X7,X8)
| duewest(X8,X7) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_470])])])]) ).
cnf(c_0_478,plain,
( epred3_2(X1,cell10)
| ~ west(cell90,X1) ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_479,plain,
west(cell90,cell100),
inference(spm,[status(thm)],[c_0_380,c_0_473]) ).
fof(c_0_480,negated_conjecture,
~ westof(cell1,cell100),
inference(assume_negation,[status(cth)],[tlhfof34981]) ).
cnf(c_0_481,plain,
( westof(X1,X2)
| ~ duewest(X3,X2)
| ~ vert(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_482,plain,
vert(cell1,cell10),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_483,plain,
( duewest(X1,X2)
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_484,plain,
epred3_2(cell100,cell10),
inference(spm,[status(thm)],[c_0_478,c_0_479]) ).
fof(c_0_485,negated_conjecture,
~ westof(cell1,cell100),
inference(fof_simplification,[status(thm)],[c_0_480]) ).
cnf(c_0_486,plain,
( westof(cell1,X1)
| ~ duewest(cell10,X1) ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_487,plain,
duewest(cell10,cell100),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_488,negated_conjecture,
~ westof(cell1,cell100),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_489,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_488]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ077+1 : TPTP v8.1.0. Released v3.5.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 23:46:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.43 eprover: CPU time limit exceeded, terminating
% 0.33/23.46 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.44 eprover: CPU time limit exceeded, terminating
% 0.45/46.47 eprover: CPU time limit exceeded, terminating
% 0.45/46.48 eprover: CPU time limit exceeded, terminating
% 0.57/69.43 eprover: CPU time limit exceeded, terminating
% 0.57/69.46 eprover: CPU time limit exceeded, terminating
% 0.57/69.49 eprover: CPU time limit exceeded, terminating
% 0.57/69.50 eprover: CPU time limit exceeded, terminating
% 0.67/92.47 eprover: CPU time limit exceeded, terminating
% 0.67/92.48 eprover: CPU time limit exceeded, terminating
% 0.67/92.51 eprover: CPU time limit exceeded, terminating
% 0.67/92.51 eprover: CPU time limit exceeded, terminating
% 0.79/115.48 eprover: CPU time limit exceeded, terminating
% 0.79/115.52 eprover: CPU time limit exceeded, terminating
% 0.79/115.53 eprover: CPU time limit exceeded, terminating
% 0.79/115.53 eprover: CPU time limit exceeded, terminating
% 0.90/138.52 eprover: CPU time limit exceeded, terminating
% 0.90/138.55 eprover: CPU time limit exceeded, terminating
% 0.90/138.58 eprover: CPU time limit exceeded, terminating
% 0.90/138.59 eprover: CPU time limit exceeded, terminating
% 1.02/161.55 eprover: CPU time limit exceeded, terminating
% 1.02/161.56 eprover: CPU time limit exceeded, terminating
% 1.02/161.59 eprover: CPU time limit exceeded, terminating
% 1.02/161.61 eprover: CPU time limit exceeded, terminating
% 1.12/181.29 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # Preprocessing time : 0.077 s
% 1.12/181.29 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.12/181.29 # Preprocessing time : 0.082 s
% 1.12/181.29 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # Preprocessing time : 0.080 s
% 1.12/181.29 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # Preprocessing time : 0.037 s
% 1.12/181.29 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.12/181.29 # Preprocessing time : 0.026 s
% 1.12/181.29 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # Preprocessing time : 0.038 s
% 1.12/181.29 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.12/181.29
% 1.12/181.29 # Failure: Resource limit exceeded (time)
% 1.12/181.29 # OLD status Res
% 1.12/181.29 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.12/181.29 # Preprocessing time : 0.014 s
% 1.12/181.29 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.12/181.29 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.12/181.29 # Preprocessing time : 0.043 s
% 1.12/181.29
% 1.12/181.29 # Proof found!
% 1.12/181.29 # SZS status Theorem
% 1.12/181.29 # SZS output start CNFRefutation
% See solution above
% 1.12/181.29 # Proof object total steps : 490
% 1.12/181.29 # Proof object clause steps : 358
% 1.12/181.29 # Proof object formula steps : 132
% 1.12/181.29 # Proof object conjectures : 4
% 1.12/181.29 # Proof object clause conjectures : 1
% 1.12/181.29 # Proof object formula conjectures : 3
% 1.12/181.29 # Proof object initial clauses used : 60
% 1.12/181.29 # Proof object initial formulas used : 7
% 1.12/181.29 # Proof object generating inferences : 298
% 1.12/181.29 # Proof object simplifying inferences : 1
% 1.12/181.29 # Training examples: 0 positive, 0 negative
% 1.12/181.29 # Parsed axioms : 7
% 1.12/181.29 # Removed by relevancy pruning/SinE : 0
% 1.12/181.29 # Initial clauses : 1872
% 1.12/181.29 # Removed in clause preprocessing : 0
% 1.12/181.29 # Initial clauses in saturation : 1872
% 1.12/181.29 # Processed clauses : 46824
% 1.12/181.29 # ...of these trivial : 0
% 1.12/181.29 # ...subsumed : 4416
% 1.12/181.29 # ...remaining for further processing : 42408
% 1.12/181.29 # Other redundant clauses eliminated : 0
% 1.12/181.29 # Clauses deleted for lack of memory : 317997
% 1.12/181.29 # Backward-subsumed : 0
% 1.12/181.29 # Backward-rewritten : 0
% 1.12/181.29 # Generated clauses : 606041
% 1.12/181.29 # ...of the previous two non-trivial : 438680
% 1.12/181.29 # Contextual simplify-reflections : 0
% 1.12/181.29 # Paramodulations : 605681
% 1.12/181.29 # Factorizations : 0
% 1.12/181.29 # Equation resolutions : 360
% 1.12/181.29 # Current number of processed clauses : 42408
% 1.12/181.29 # Positive orientable unit clauses : 10621
% 1.12/181.29 # Positive unorientable unit clauses: 0
% 1.12/181.29 # Negative unit clauses : 1
% 1.12/181.29 # Non-unit-clauses : 31786
% 1.12/181.29 # Current number of unprocessed clauses: 75731
% 1.12/181.29 # ...number of literals in the above : 309979
% 1.12/181.29 # Current number of archived formulas : 0
% 1.12/181.29 # Current number of archived clauses : 0
% 1.12/181.29 # Clause-clause subsumption calls (NU) : 32558298
% 1.12/181.29 # Rec. Clause-clause subsumption calls : 25075270
% 1.12/181.29 # Non-unit clause-clause subsumptions : 4416
% 1.12/181.29 # Unit Clause-clause subsumption calls : 13233141
% 1.12/181.29 # Rewrite failures with RHS unbound : 0
% 1.12/181.29 # BW rewrite match attempts : 0
% 1.12/181.29 # BW rewrite match successes : 0
% 1.12/181.29 # Condensation attempts : 0
% 1.12/181.29 # Condensation successes : 0
% 1.12/181.29 # Termbank termtop insertions : 15979519
% 1.12/181.29
% 1.12/181.29 # -------------------------------------------------
% 1.12/181.29 # User time : 19.437 s
% 1.12/181.29 # System time : 0.143 s
% 1.12/181.29 # Total time : 19.580 s
% 1.12/181.29 # Maximum resident set size: 189180 pages
% 1.12/184.59 eprover: CPU time limit exceeded, terminating
% 1.12/184.60 eprover: CPU time limit exceeded, terminating
% 1.12/184.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.60 eprover: No such file or directory
% 1.12/184.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.61 eprover: No such file or directory
% 1.12/184.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.62 eprover: No such file or directory
% 1.12/184.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.62 eprover: No such file or directory
% 1.12/184.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.62 eprover: No such file or directory
% 1.12/184.62 eprover: CPU time limit exceeded, terminating
% 1.12/184.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.63 eprover: No such file or directory
% 1.12/184.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/184.63 eprover: No such file or directory
% 1.12/184.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.12/184.64 eprover: No such file or directory
%------------------------------------------------------------------------------