TSTP Solution File: PUZ074+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ074+1 : TPTP v5.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:55:49 EST 2010
% Result : Theorem 9.20s
% Output : CNFRefutation 9.23s
% Verified :
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
cell86 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26286) ).
fof(8,axiom,
cell86 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26285) ).
fof(13,axiom,
cell55 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28455) ).
fof(48,axiom,
cell93 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25663) ).
fof(49,axiom,
cell93 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25662) ).
fof(189,axiom,
cell20 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29751) ).
fof(192,axiom,
cell15 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29836) ).
fof(218,axiom,
cell19 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29770) ).
fof(266,axiom,
cell45 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28951) ).
fof(267,axiom,
cell46 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28905) ).
fof(321,axiom,
cell28 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29562) ).
fof(322,axiom,
cell28 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29563) ).
fof(350,axiom,
cell96 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25380) ).
fof(351,axiom,
cell96 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25381) ).
fof(422,axiom,
cell52 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28665) ).
fof(522,axiom,
cell71 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27384) ).
fof(523,axiom,
cell71 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27385) ).
fof(535,axiom,
cell77 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27014) ).
fof(536,axiom,
cell77 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27015) ).
fof(545,axiom,
cell62 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28111) ).
fof(547,axiom,
cell16 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29820) ).
fof(568,axiom,
cell3 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29937) ).
fof(588,axiom,
cell56 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28400) ).
fof(594,axiom,
cell70 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27525) ).
fof(595,axiom,
cell70 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27526) ).
fof(600,axiom,
cell2 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29939) ).
fof(611,axiom,
cell26 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29616) ).
fof(612,axiom,
cell76 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27090) ).
fof(613,axiom,
cell76 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27091) ).
fof(614,axiom,
cell3 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29938) ).
fof(649,axiom,
cell43 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29038) ).
fof(659,axiom,
cell43 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29037) ).
fof(756,axiom,
cell97 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25285) ).
fof(757,axiom,
cell97 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25284) ).
fof(798,axiom,
cell92 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25845) ).
fof(801,axiom,
cell92 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25846) ).
fof(834,axiom,
cell67 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27730) ).
fof(916,axiom,
cell63 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27987) ).
fof(969,axiom,
cell9 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29904) ).
fof(980,axiom,
cell50 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28716) ).
fof(984,axiom,
cell14 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29849) ).
fof(1013,axiom,
cell35 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29345) ).
fof(1029,axiom,
cell95 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25475) ).
fof(1030,axiom,
cell95 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25476) ).
fof(1040,axiom,
cell32 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29475) ).
fof(1141,axiom,
cell54 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28510) ).
fof(1184,axiom,
cell57 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28345) ).
fof(1185,axiom,
cell57 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28344) ).
fof(1200,axiom,
cell50 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28715) ).
fof(1267,axiom,
cell29 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29534) ).
fof(1281,axiom,
cell59 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28230) ).
fof(1329,axiom,
cell20 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29750) ).
fof(1387,axiom,
cell8 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29913) ).
fof(1450,axiom,
cell78 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26937) ).
fof(1500,axiom,
cell24 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29665) ).
fof(1501,axiom,
cell24 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29664) ).
fof(1518,axiom,
cell88 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26112) ).
fof(1519,axiom,
cell88 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26113) ).
fof(1561,axiom,
cell89 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26024) ).
fof(1562,axiom,
cell89 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26025) ).
fof(1567,axiom,
cell17 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29805) ).
fof(1568,axiom,
cell17 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29804) ).
fof(1584,axiom,
cell91 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25755) ).
fof(1590,axiom,
cell91 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25754) ).
fof(1597,axiom,
cell69 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27594) ).
fof(1603,axiom,
cell5 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29930) ).
fof(1606,axiom,
cell4 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29935) ).
fof(1607,axiom,
cell4 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29934) ).
fof(1635,axiom,
cell59 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28229) ).
fof(1723,axiom,
cell25 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29640) ).
fof(1791,axiom,
cell18 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29788) ).
fof(1828,axiom,
cell48 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28813) ).
fof(1829,axiom,
cell48 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28812) ).
fof(1853,axiom,
cell63 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27988) ).
fof(1919,axiom,
cell78 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26938) ).
fof(1958,axiom,
cell15 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29835) ).
fof(1959,axiom,
cell6 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29925) ).
fof(1993,axiom,
cell9 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29905) ).
fof(2006,axiom,
cell56 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28401) ).
fof(2045,axiom,
cell8 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29912) ).
fof(2057,axiom,
cell52 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28666) ).
fof(2060,axiom,
cell41 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29079) ).
fof(2070,axiom,
cell69 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27595) ).
fof(2077,axiom,
cell36 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29311) ).
fof(2078,axiom,
cell36 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29310) ).
fof(2102,axiom,
cell47 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28860) ).
fof(2115,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof24990) ).
fof(2116,axiom,
! [X3,X4] :
( adj(X4,X3)
<=> ( edge(X4,X3)
| edge(X3,X4) ) ),
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof24991) ).
fof(2126,axiom,
cell62 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28110) ).
fof(2149,axiom,
cell90 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25935) ).
fof(2152,axiom,
cell90 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25936) ).
fof(2223,axiom,
cell34 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29380) ).
fof(2287,axiom,
cell73 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27313) ).
fof(2288,axiom,
cell73 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27312) ).
fof(2319,axiom,
cell65 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27860) ).
fof(2361,axiom,
cell66 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27796) ).
fof(2362,axiom,
cell66 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27795) ).
fof(2379,axiom,
cell13 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29863) ).
fof(2380,axiom,
cell13 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29862) ).
fof(2407,axiom,
cell5 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29931) ).
fof(2478,axiom,
cell53 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28563) ).
fof(2491,axiom,
cell53 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28562) ).
fof(2493,axiom,
cell37 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29274) ).
fof(2494,axiom,
cell37 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29275) ).
fof(2507,axiom,
cell21 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29709) ).
fof(2511,axiom,
cell46 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28906) ).
fof(2597,axiom,
cell75 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27165) ).
fof(2598,axiom,
cell75 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27166) ).
fof(2619,axiom,
cell22 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29730) ).
fof(2633,axiom,
cell80 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26781) ).
fof(2634,axiom,
cell80 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26780) ).
fof(2683,axiom,
cell74 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27239) ).
fof(2716,axiom,
cell11 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29874) ).
fof(2717,axiom,
cell11 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29875) ).
fof(2789,axiom,
cell12 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29885) ).
fof(2818,axiom,
cell49 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28765) ).
fof(2820,axiom,
cell39 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29200) ).
fof(2914,axiom,
cell87 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26200) ).
fof(2951,axiom,
cell54 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28509) ).
fof(2956,axiom,
cell85 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26370) ).
fof(2957,axiom,
cell85 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26371) ).
fof(3055,axiom,
cell39 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29199) ).
fof(3078,axiom,
cell38 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29237) ).
fof(3082,axiom,
cell12 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29886) ).
fof(3124,axiom,
cell21 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29710) ).
fof(3179,axiom,
cell38 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29238) ).
fof(3192,axiom,
cell47 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28859) ).
fof(3197,axiom,
cell30 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29505) ).
fof(3198,axiom,
cell30 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29506) ).
fof(3373,axiom,
cell26 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29615) ).
fof(3390,axiom,
cell2 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29940) ).
fof(3394,axiom,
cell1 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29941) ).
fof(3404,axiom,
cell72 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27455) ).
fof(3405,axiom,
cell72 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27456) ).
fof(3490,axiom,
cell94 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25570) ).
fof(3519,axiom,
cell29 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29535) ).
fof(3653,axiom,
cell83 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26537) ).
fof(3661,axiom,
cell83 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26538) ).
fof(3710,axiom,
cell81 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26620) ).
fof(3719,axiom,
cell32 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29476) ).
fof(3736,axiom,
cell65 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27861) ).
fof(3757,axiom,
cell68 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27663) ).
fof(3758,axiom,
cell68 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27662) ).
fof(3784,axiom,
cell41 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29080) ).
fof(3807,axiom,
cell22 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29731) ).
fof(3829,axiom,
cell94 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25569) ).
fof(3913,axiom,
cell98 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25187) ).
fof(3914,axiom,
cell98 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25188) ).
fof(3918,axiom,
cell33 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29412) ).
fof(3919,axiom,
cell33 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29413) ).
fof(4040,axiom,
cell81 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26619) ).
fof(4111,axiom,
cell18 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29787) ).
fof(4127,axiom,
cell44 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28994) ).
fof(4128,axiom,
cell51 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28615) ).
fof(4129,axiom,
cell44 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28995) ).
fof(4131,axiom,
cell51 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28614) ).
fof(4328,axiom,
cell87 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26199) ).
fof(4354,axiom,
cell16 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29821) ).
fof(4434,axiom,
cell74 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27240) ).
fof(4488,axiom,
cell49 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28764) ).
fof(4512,axiom,
cell19 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29769) ).
fof(4515,axiom,
cell55 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28456) ).
fof(4529,axiom,
cell45 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof28950) ).
fof(4590,axiom,
cell25 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29641) ).
fof(4668,axiom,
cell84 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26455) ).
fof(4669,axiom,
cell84 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26454) ).
fof(4676,conjecture,
~ adj(cell1,cell100),
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29942) ).
fof(4750,axiom,
cell82 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26701) ).
fof(4751,axiom,
cell82 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof26700) ).
fof(4798,axiom,
cell35 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29346) ).
fof(4809,axiom,
cell40 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29160) ).
fof(4810,axiom,
cell40 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29161) ).
fof(4821,axiom,
cell6 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29926) ).
fof(4824,axiom,
cell67 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof27729) ).
fof(4857,axiom,
cell14 != cell100,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29850) ).
fof(4890,axiom,
cell34 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof29379) ).
fof(4938,axiom,
cell99 != cell1,
file('/tmp/tmpsa2xgh/sel_PUZ074+1.p_1',tlhfof25089) ).
fof(4954,negated_conjecture,
~ ~ adj(cell1,cell100),
inference(assume_negation,[status(cth)],[4676]) ).
fof(4955,negated_conjecture,
adj(cell1,cell100),
inference(fof_simplification,[status(thm)],[4954,theory(equality)]) ).
fof(4956,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 ) ) ),
introduced(definition) ).
fof(4957,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 ) ) ),
introduced(definition) ).
fof(4958,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) ) ),
introduced(definition) ).
fof(4959,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) ) ),
introduced(definition) ).
fof(4960,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) ) ),
introduced(definition) ).
fof(4961,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) ) ),
introduced(definition) ).
fof(4962,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) ) ),
introduced(definition) ).
fof(4963,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) ) ),
introduced(definition) ).
fof(4964,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) ) ),
introduced(definition) ).
fof(4965,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) ) ),
introduced(definition) ).
fof(4966,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) ) ),
introduced(definition) ).
fof(4967,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) ) ),
introduced(definition) ).
fof(4968,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) ) ),
introduced(definition) ).
fof(4969,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) ) ),
introduced(definition) ).
fof(4970,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) ) ),
introduced(definition) ).
fof(4971,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) ) ),
introduced(definition) ).
fof(4972,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) ) ),
introduced(definition) ).
fof(4973,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) ) ),
introduced(definition) ).
fof(4974,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
introduced(definition) ).
fof(4975,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
introduced(definition) ).
fof(4976,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
introduced(definition) ).
fof(4977,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
introduced(definition) ).
fof(4978,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
introduced(definition) ).
fof(4979,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
introduced(definition) ).
fof(4980,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
introduced(definition) ).
fof(4981,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
introduced(definition) ).
fof(4982,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
introduced(definition) ).
fof(4983,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
introduced(definition) ).
fof(4984,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
introduced(definition) ).
fof(4985,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
introduced(definition) ).
fof(4986,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
introduced(definition) ).
fof(4987,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
introduced(definition) ).
fof(4988,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
introduced(definition) ).
fof(4989,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
introduced(definition) ).
fof(4990,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
introduced(definition) ).
fof(4991,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
introduced(definition) ).
fof(4992,plain,
! [X1,X2] :
( edge(X2,X1)
<=> epred36_2(X1,X2) ),
inference(apply_def,[status(esa)],[2115,4991,theory(equality)]) ).
fof(4993,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( epred1_2(X1,X2)
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 ) ) ),
inference(apply_def,[status(esa)],[4957,4956,theory(equality)]) ).
fof(4994,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( epred2_2(X1,X2)
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) ) ),
inference(apply_def,[status(esa)],[4958,4993,theory(equality)]) ).
fof(4995,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( epred3_2(X1,X2)
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) ) ),
inference(apply_def,[status(esa)],[4959,4994,theory(equality)]) ).
fof(4996,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( epred4_2(X1,X2)
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) ) ),
inference(apply_def,[status(esa)],[4960,4995,theory(equality)]) ).
fof(4997,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( epred5_2(X1,X2)
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) ) ),
inference(apply_def,[status(esa)],[4961,4996,theory(equality)]) ).
fof(4998,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( epred6_2(X1,X2)
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) ) ),
inference(apply_def,[status(esa)],[4962,4997,theory(equality)]) ).
fof(4999,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( epred7_2(X1,X2)
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) ) ),
inference(apply_def,[status(esa)],[4963,4998,theory(equality)]) ).
fof(5000,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( epred8_2(X1,X2)
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) ) ),
inference(apply_def,[status(esa)],[4964,4999,theory(equality)]) ).
fof(5001,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( epred9_2(X1,X2)
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) ) ),
inference(apply_def,[status(esa)],[4965,5000,theory(equality)]) ).
fof(5002,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( epred10_2(X1,X2)
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) ) ),
inference(apply_def,[status(esa)],[4966,5001,theory(equality)]) ).
fof(5003,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( epred11_2(X1,X2)
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) ) ),
inference(apply_def,[status(esa)],[4967,5002,theory(equality)]) ).
fof(5004,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( epred12_2(X1,X2)
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) ) ),
inference(apply_def,[status(esa)],[4968,5003,theory(equality)]) ).
fof(5005,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( epred13_2(X1,X2)
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) ) ),
inference(apply_def,[status(esa)],[4969,5004,theory(equality)]) ).
fof(5006,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( epred14_2(X1,X2)
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) ) ),
inference(apply_def,[status(esa)],[4970,5005,theory(equality)]) ).
fof(5007,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( epred15_2(X1,X2)
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) ) ),
inference(apply_def,[status(esa)],[4971,5006,theory(equality)]) ).
fof(5008,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( epred16_2(X1,X2)
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) ) ),
inference(apply_def,[status(esa)],[4972,5007,theory(equality)]) ).
fof(5009,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( epred17_2(X1,X2)
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) ) ),
inference(apply_def,[status(esa)],[4973,5008,theory(equality)]) ).
fof(5010,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( epred18_2(X1,X2)
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
inference(apply_def,[status(esa)],[4974,5009,theory(equality)]) ).
fof(5011,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( epred19_2(X1,X2)
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
inference(apply_def,[status(esa)],[4975,5010,theory(equality)]) ).
fof(5012,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( epred20_2(X1,X2)
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
inference(apply_def,[status(esa)],[4976,5011,theory(equality)]) ).
fof(5013,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( epred21_2(X1,X2)
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
inference(apply_def,[status(esa)],[4977,5012,theory(equality)]) ).
fof(5014,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( epred22_2(X1,X2)
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
inference(apply_def,[status(esa)],[4978,5013,theory(equality)]) ).
fof(5015,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( epred23_2(X1,X2)
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
inference(apply_def,[status(esa)],[4979,5014,theory(equality)]) ).
fof(5016,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( epred24_2(X1,X2)
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
inference(apply_def,[status(esa)],[4980,5015,theory(equality)]) ).
fof(5017,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( epred25_2(X1,X2)
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
inference(apply_def,[status(esa)],[4981,5016,theory(equality)]) ).
fof(5018,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( epred26_2(X1,X2)
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
inference(apply_def,[status(esa)],[4982,5017,theory(equality)]) ).
fof(5019,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( epred27_2(X1,X2)
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
inference(apply_def,[status(esa)],[4983,5018,theory(equality)]) ).
fof(5020,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( epred28_2(X1,X2)
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
inference(apply_def,[status(esa)],[4984,5019,theory(equality)]) ).
fof(5021,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( epred29_2(X1,X2)
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
inference(apply_def,[status(esa)],[4985,5020,theory(equality)]) ).
fof(5022,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( epred30_2(X1,X2)
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
inference(apply_def,[status(esa)],[4986,5021,theory(equality)]) ).
fof(5023,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( epred31_2(X1,X2)
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
inference(apply_def,[status(esa)],[4987,5022,theory(equality)]) ).
fof(5024,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( epred32_2(X1,X2)
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
inference(apply_def,[status(esa)],[4988,5023,theory(equality)]) ).
fof(5025,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( epred33_2(X1,X2)
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
inference(apply_def,[status(esa)],[4989,5024,theory(equality)]) ).
fof(5026,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( epred34_2(X1,X2)
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
inference(apply_def,[status(esa)],[4990,5025,theory(equality)]) ).
fof(5027,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( epred35_2(X1,X2)
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
inference(apply_def,[status(esa)],[4991,5026,theory(equality)]) ).
cnf(5032,plain,
cell86 != cell100,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(5035,plain,
cell86 != cell1,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(5040,plain,
cell55 != cell1,
inference(split_conjunct,[status(thm)],[13]) ).
cnf(5075,plain,
cell93 != cell100,
inference(split_conjunct,[status(thm)],[48]) ).
cnf(5076,plain,
cell93 != cell1,
inference(split_conjunct,[status(thm)],[49]) ).
cnf(5216,plain,
cell20 != cell100,
inference(split_conjunct,[status(thm)],[189]) ).
cnf(5219,plain,
cell15 != cell100,
inference(split_conjunct,[status(thm)],[192]) ).
cnf(5245,plain,
cell19 != cell100,
inference(split_conjunct,[status(thm)],[218]) ).
cnf(5293,plain,
cell45 != cell100,
inference(split_conjunct,[status(thm)],[266]) ).
cnf(5294,plain,
cell46 != cell1,
inference(split_conjunct,[status(thm)],[267]) ).
cnf(5348,plain,
cell28 != cell1,
inference(split_conjunct,[status(thm)],[321]) ).
cnf(5349,plain,
cell28 != cell100,
inference(split_conjunct,[status(thm)],[322]) ).
cnf(5377,plain,
cell96 != cell1,
inference(split_conjunct,[status(thm)],[350]) ).
cnf(5378,plain,
cell96 != cell100,
inference(split_conjunct,[status(thm)],[351]) ).
cnf(5449,plain,
cell52 != cell1,
inference(split_conjunct,[status(thm)],[422]) ).
cnf(5549,plain,
cell71 != cell1,
inference(split_conjunct,[status(thm)],[522]) ).
cnf(5550,plain,
cell71 != cell100,
inference(split_conjunct,[status(thm)],[523]) ).
cnf(5562,plain,
cell77 != cell1,
inference(split_conjunct,[status(thm)],[535]) ).
cnf(5563,plain,
cell77 != cell100,
inference(split_conjunct,[status(thm)],[536]) ).
cnf(5572,plain,
cell62 != cell100,
inference(split_conjunct,[status(thm)],[545]) ).
cnf(5574,plain,
cell16 != cell1,
inference(split_conjunct,[status(thm)],[547]) ).
cnf(5595,plain,
cell3 != cell1,
inference(split_conjunct,[status(thm)],[568]) ).
cnf(5615,plain,
cell56 != cell1,
inference(split_conjunct,[status(thm)],[588]) ).
cnf(5621,plain,
cell70 != cell1,
inference(split_conjunct,[status(thm)],[594]) ).
cnf(5622,plain,
cell70 != cell100,
inference(split_conjunct,[status(thm)],[595]) ).
cnf(5627,plain,
cell2 != cell1,
inference(split_conjunct,[status(thm)],[600]) ).
cnf(5638,plain,
cell26 != cell100,
inference(split_conjunct,[status(thm)],[611]) ).
cnf(5639,plain,
cell76 != cell1,
inference(split_conjunct,[status(thm)],[612]) ).
cnf(5640,plain,
cell76 != cell100,
inference(split_conjunct,[status(thm)],[613]) ).
cnf(5641,plain,
cell3 != cell100,
inference(split_conjunct,[status(thm)],[614]) ).
cnf(5676,plain,
cell43 != cell100,
inference(split_conjunct,[status(thm)],[649]) ).
cnf(5686,plain,
cell43 != cell1,
inference(split_conjunct,[status(thm)],[659]) ).
cnf(5783,plain,
cell97 != cell100,
inference(split_conjunct,[status(thm)],[756]) ).
cnf(5784,plain,
cell97 != cell1,
inference(split_conjunct,[status(thm)],[757]) ).
cnf(5825,plain,
cell92 != cell1,
inference(split_conjunct,[status(thm)],[798]) ).
cnf(5828,plain,
cell92 != cell100,
inference(split_conjunct,[status(thm)],[801]) ).
cnf(5861,plain,
cell67 != cell100,
inference(split_conjunct,[status(thm)],[834]) ).
cnf(5943,plain,
cell63 != cell1,
inference(split_conjunct,[status(thm)],[916]) ).
cnf(5996,plain,
cell9 != cell1,
inference(split_conjunct,[status(thm)],[969]) ).
cnf(6007,plain,
cell50 != cell100,
inference(split_conjunct,[status(thm)],[980]) ).
cnf(6011,plain,
cell14 != cell1,
inference(split_conjunct,[status(thm)],[984]) ).
cnf(6040,plain,
cell35 != cell1,
inference(split_conjunct,[status(thm)],[1013]) ).
cnf(6056,plain,
cell95 != cell1,
inference(split_conjunct,[status(thm)],[1029]) ).
cnf(6057,plain,
cell95 != cell100,
inference(split_conjunct,[status(thm)],[1030]) ).
cnf(6067,plain,
cell32 != cell1,
inference(split_conjunct,[status(thm)],[1040]) ).
cnf(6168,plain,
cell54 != cell100,
inference(split_conjunct,[status(thm)],[1141]) ).
cnf(6211,plain,
cell57 != cell100,
inference(split_conjunct,[status(thm)],[1184]) ).
cnf(6212,plain,
cell57 != cell1,
inference(split_conjunct,[status(thm)],[1185]) ).
cnf(6227,plain,
cell50 != cell1,
inference(split_conjunct,[status(thm)],[1200]) ).
cnf(6294,plain,
cell29 != cell1,
inference(split_conjunct,[status(thm)],[1267]) ).
cnf(6308,plain,
cell59 != cell100,
inference(split_conjunct,[status(thm)],[1281]) ).
cnf(6356,plain,
cell20 != cell1,
inference(split_conjunct,[status(thm)],[1329]) ).
cnf(6414,plain,
cell8 != cell100,
inference(split_conjunct,[status(thm)],[1387]) ).
cnf(6477,plain,
cell78 != cell1,
inference(split_conjunct,[status(thm)],[1450]) ).
cnf(6527,plain,
cell24 != cell100,
inference(split_conjunct,[status(thm)],[1500]) ).
cnf(6528,plain,
cell24 != cell1,
inference(split_conjunct,[status(thm)],[1501]) ).
cnf(6545,plain,
cell88 != cell1,
inference(split_conjunct,[status(thm)],[1518]) ).
cnf(6546,plain,
cell88 != cell100,
inference(split_conjunct,[status(thm)],[1519]) ).
cnf(6588,plain,
cell89 != cell1,
inference(split_conjunct,[status(thm)],[1561]) ).
cnf(6589,plain,
cell89 != cell100,
inference(split_conjunct,[status(thm)],[1562]) ).
cnf(6594,plain,
cell17 != cell100,
inference(split_conjunct,[status(thm)],[1567]) ).
cnf(6595,plain,
cell17 != cell1,
inference(split_conjunct,[status(thm)],[1568]) ).
cnf(6611,plain,
cell91 != cell100,
inference(split_conjunct,[status(thm)],[1584]) ).
cnf(6617,plain,
cell91 != cell1,
inference(split_conjunct,[status(thm)],[1590]) ).
cnf(6624,plain,
cell69 != cell1,
inference(split_conjunct,[status(thm)],[1597]) ).
cnf(6630,plain,
cell5 != cell1,
inference(split_conjunct,[status(thm)],[1603]) ).
cnf(6633,plain,
cell4 != cell100,
inference(split_conjunct,[status(thm)],[1606]) ).
cnf(6634,plain,
cell4 != cell1,
inference(split_conjunct,[status(thm)],[1607]) ).
cnf(6662,plain,
cell59 != cell1,
inference(split_conjunct,[status(thm)],[1635]) ).
cnf(6750,plain,
cell25 != cell1,
inference(split_conjunct,[status(thm)],[1723]) ).
cnf(6818,plain,
cell18 != cell100,
inference(split_conjunct,[status(thm)],[1791]) ).
cnf(6855,plain,
cell48 != cell100,
inference(split_conjunct,[status(thm)],[1828]) ).
cnf(6856,plain,
cell48 != cell1,
inference(split_conjunct,[status(thm)],[1829]) ).
cnf(6880,plain,
cell63 != cell100,
inference(split_conjunct,[status(thm)],[1853]) ).
cnf(6946,plain,
cell78 != cell100,
inference(split_conjunct,[status(thm)],[1919]) ).
cnf(6985,plain,
cell15 != cell1,
inference(split_conjunct,[status(thm)],[1958]) ).
cnf(6986,plain,
cell6 != cell1,
inference(split_conjunct,[status(thm)],[1959]) ).
cnf(7020,plain,
cell9 != cell100,
inference(split_conjunct,[status(thm)],[1993]) ).
cnf(7033,plain,
cell56 != cell100,
inference(split_conjunct,[status(thm)],[2006]) ).
cnf(7072,plain,
cell8 != cell1,
inference(split_conjunct,[status(thm)],[2045]) ).
cnf(7084,plain,
cell52 != cell100,
inference(split_conjunct,[status(thm)],[2057]) ).
cnf(7087,plain,
cell41 != cell1,
inference(split_conjunct,[status(thm)],[2060]) ).
cnf(7097,plain,
cell69 != cell100,
inference(split_conjunct,[status(thm)],[2070]) ).
cnf(7104,plain,
cell36 != cell100,
inference(split_conjunct,[status(thm)],[2077]) ).
cnf(7105,plain,
cell36 != cell1,
inference(split_conjunct,[status(thm)],[2078]) ).
cnf(7129,plain,
cell47 != cell100,
inference(split_conjunct,[status(thm)],[2102]) ).
fof(7142,plain,
! [X1,X2] :
( ( ~ edge(X2,X1)
| epred36_2(X1,X2) )
& ( ~ epred36_2(X1,X2)
| edge(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[4992]) ).
fof(7143,plain,
! [X3,X4] :
( ( ~ edge(X4,X3)
| epred36_2(X3,X4) )
& ( ~ epred36_2(X3,X4)
| edge(X4,X3) ) ),
inference(variable_rename,[status(thm)],[7142]) ).
cnf(7145,plain,
( epred36_2(X1,X2)
| ~ edge(X2,X1) ),
inference(split_conjunct,[status(thm)],[7143]) ).
fof(7146,plain,
! [X3,X4] :
( ( ~ adj(X4,X3)
| edge(X4,X3)
| edge(X3,X4) )
& ( ( ~ edge(X4,X3)
& ~ edge(X3,X4) )
| adj(X4,X3) ) ),
inference(fof_nnf,[status(thm)],[2116]) ).
fof(7147,plain,
! [X5,X6] :
( ( ~ adj(X6,X5)
| edge(X6,X5)
| edge(X5,X6) )
& ( ( ~ edge(X6,X5)
& ~ edge(X5,X6) )
| adj(X6,X5) ) ),
inference(variable_rename,[status(thm)],[7146]) ).
fof(7148,plain,
! [X5,X6] :
( ( ~ adj(X6,X5)
| edge(X6,X5)
| edge(X5,X6) )
& ( ~ edge(X6,X5)
| adj(X6,X5) )
& ( ~ edge(X5,X6)
| adj(X6,X5) ) ),
inference(distribute,[status(thm)],[7147]) ).
cnf(7151,plain,
( edge(X1,X2)
| edge(X2,X1)
| ~ adj(X2,X1) ),
inference(split_conjunct,[status(thm)],[7148]) ).
cnf(7161,plain,
cell62 != cell1,
inference(split_conjunct,[status(thm)],[2126]) ).
cnf(7184,plain,
cell90 != cell1,
inference(split_conjunct,[status(thm)],[2149]) ).
cnf(7187,plain,
cell90 != cell100,
inference(split_conjunct,[status(thm)],[2152]) ).
cnf(7258,plain,
cell34 != cell100,
inference(split_conjunct,[status(thm)],[2223]) ).
cnf(7322,plain,
cell73 != cell100,
inference(split_conjunct,[status(thm)],[2287]) ).
cnf(7323,plain,
cell73 != cell1,
inference(split_conjunct,[status(thm)],[2288]) ).
cnf(7354,plain,
cell65 != cell1,
inference(split_conjunct,[status(thm)],[2319]) ).
cnf(7396,plain,
cell66 != cell100,
inference(split_conjunct,[status(thm)],[2361]) ).
cnf(7397,plain,
cell66 != cell1,
inference(split_conjunct,[status(thm)],[2362]) ).
cnf(7414,plain,
cell13 != cell100,
inference(split_conjunct,[status(thm)],[2379]) ).
cnf(7415,plain,
cell13 != cell1,
inference(split_conjunct,[status(thm)],[2380]) ).
cnf(7442,plain,
cell5 != cell100,
inference(split_conjunct,[status(thm)],[2407]) ).
cnf(7513,plain,
cell53 != cell100,
inference(split_conjunct,[status(thm)],[2478]) ).
cnf(7526,plain,
cell53 != cell1,
inference(split_conjunct,[status(thm)],[2491]) ).
cnf(7528,plain,
cell37 != cell1,
inference(split_conjunct,[status(thm)],[2493]) ).
cnf(7529,plain,
cell37 != cell100,
inference(split_conjunct,[status(thm)],[2494]) ).
cnf(7542,plain,
cell21 != cell1,
inference(split_conjunct,[status(thm)],[2507]) ).
cnf(7546,plain,
cell46 != cell100,
inference(split_conjunct,[status(thm)],[2511]) ).
cnf(7632,plain,
cell75 != cell1,
inference(split_conjunct,[status(thm)],[2597]) ).
cnf(7633,plain,
cell75 != cell100,
inference(split_conjunct,[status(thm)],[2598]) ).
cnf(7654,plain,
cell22 != cell1,
inference(split_conjunct,[status(thm)],[2619]) ).
cnf(7668,plain,
cell80 != cell100,
inference(split_conjunct,[status(thm)],[2633]) ).
cnf(7669,plain,
cell80 != cell1,
inference(split_conjunct,[status(thm)],[2634]) ).
cnf(7718,plain,
cell74 != cell1,
inference(split_conjunct,[status(thm)],[2683]) ).
cnf(7751,plain,
cell11 != cell1,
inference(split_conjunct,[status(thm)],[2716]) ).
cnf(7752,plain,
cell11 != cell100,
inference(split_conjunct,[status(thm)],[2717]) ).
cnf(7824,plain,
cell12 != cell1,
inference(split_conjunct,[status(thm)],[2789]) ).
cnf(7853,plain,
cell49 != cell100,
inference(split_conjunct,[status(thm)],[2818]) ).
cnf(7855,plain,
cell39 != cell100,
inference(split_conjunct,[status(thm)],[2820]) ).
cnf(7949,plain,
cell87 != cell100,
inference(split_conjunct,[status(thm)],[2914]) ).
cnf(7986,plain,
cell54 != cell1,
inference(split_conjunct,[status(thm)],[2951]) ).
cnf(7991,plain,
cell85 != cell1,
inference(split_conjunct,[status(thm)],[2956]) ).
cnf(7992,plain,
cell85 != cell100,
inference(split_conjunct,[status(thm)],[2957]) ).
cnf(8090,plain,
cell39 != cell1,
inference(split_conjunct,[status(thm)],[3055]) ).
cnf(8113,plain,
cell38 != cell1,
inference(split_conjunct,[status(thm)],[3078]) ).
cnf(8117,plain,
cell12 != cell100,
inference(split_conjunct,[status(thm)],[3082]) ).
cnf(8159,plain,
cell21 != cell100,
inference(split_conjunct,[status(thm)],[3124]) ).
cnf(8214,plain,
cell38 != cell100,
inference(split_conjunct,[status(thm)],[3179]) ).
cnf(8227,plain,
cell47 != cell1,
inference(split_conjunct,[status(thm)],[3192]) ).
cnf(8232,plain,
cell30 != cell1,
inference(split_conjunct,[status(thm)],[3197]) ).
cnf(8233,plain,
cell30 != cell100,
inference(split_conjunct,[status(thm)],[3198]) ).
cnf(8408,plain,
cell26 != cell1,
inference(split_conjunct,[status(thm)],[3373]) ).
cnf(8425,plain,
cell2 != cell100,
inference(split_conjunct,[status(thm)],[3390]) ).
cnf(8429,plain,
cell1 != cell100,
inference(split_conjunct,[status(thm)],[3394]) ).
cnf(8439,plain,
cell72 != cell1,
inference(split_conjunct,[status(thm)],[3404]) ).
cnf(8440,plain,
cell72 != cell100,
inference(split_conjunct,[status(thm)],[3405]) ).
cnf(8525,plain,
cell94 != cell100,
inference(split_conjunct,[status(thm)],[3490]) ).
cnf(8554,plain,
cell29 != cell100,
inference(split_conjunct,[status(thm)],[3519]) ).
cnf(8688,plain,
cell83 != cell1,
inference(split_conjunct,[status(thm)],[3653]) ).
cnf(8696,plain,
cell83 != cell100,
inference(split_conjunct,[status(thm)],[3661]) ).
cnf(8745,plain,
cell81 != cell100,
inference(split_conjunct,[status(thm)],[3710]) ).
cnf(8754,plain,
cell32 != cell100,
inference(split_conjunct,[status(thm)],[3719]) ).
cnf(8771,plain,
cell65 != cell100,
inference(split_conjunct,[status(thm)],[3736]) ).
cnf(8792,plain,
cell68 != cell100,
inference(split_conjunct,[status(thm)],[3757]) ).
cnf(8793,plain,
cell68 != cell1,
inference(split_conjunct,[status(thm)],[3758]) ).
cnf(8819,plain,
cell41 != cell100,
inference(split_conjunct,[status(thm)],[3784]) ).
cnf(8842,plain,
cell22 != cell100,
inference(split_conjunct,[status(thm)],[3807]) ).
cnf(8864,plain,
cell94 != cell1,
inference(split_conjunct,[status(thm)],[3829]) ).
cnf(8948,plain,
cell98 != cell1,
inference(split_conjunct,[status(thm)],[3913]) ).
cnf(8949,plain,
cell98 != cell100,
inference(split_conjunct,[status(thm)],[3914]) ).
cnf(8953,plain,
cell33 != cell1,
inference(split_conjunct,[status(thm)],[3918]) ).
cnf(8954,plain,
cell33 != cell100,
inference(split_conjunct,[status(thm)],[3919]) ).
cnf(9075,plain,
cell81 != cell1,
inference(split_conjunct,[status(thm)],[4040]) ).
cnf(9146,plain,
cell18 != cell1,
inference(split_conjunct,[status(thm)],[4111]) ).
cnf(9162,plain,
cell44 != cell1,
inference(split_conjunct,[status(thm)],[4127]) ).
cnf(9163,plain,
cell51 != cell100,
inference(split_conjunct,[status(thm)],[4128]) ).
cnf(9164,plain,
cell44 != cell100,
inference(split_conjunct,[status(thm)],[4129]) ).
cnf(9166,plain,
cell51 != cell1,
inference(split_conjunct,[status(thm)],[4131]) ).
cnf(9363,plain,
cell87 != cell1,
inference(split_conjunct,[status(thm)],[4328]) ).
cnf(9389,plain,
cell16 != cell100,
inference(split_conjunct,[status(thm)],[4354]) ).
cnf(9469,plain,
cell74 != cell100,
inference(split_conjunct,[status(thm)],[4434]) ).
cnf(9523,plain,
cell49 != cell1,
inference(split_conjunct,[status(thm)],[4488]) ).
cnf(9547,plain,
cell19 != cell1,
inference(split_conjunct,[status(thm)],[4512]) ).
cnf(9550,plain,
cell55 != cell100,
inference(split_conjunct,[status(thm)],[4515]) ).
cnf(9564,plain,
cell45 != cell1,
inference(split_conjunct,[status(thm)],[4529]) ).
cnf(9625,plain,
cell25 != cell100,
inference(split_conjunct,[status(thm)],[4590]) ).
cnf(9703,plain,
cell84 != cell100,
inference(split_conjunct,[status(thm)],[4668]) ).
cnf(9704,plain,
cell84 != cell1,
inference(split_conjunct,[status(thm)],[4669]) ).
cnf(9711,negated_conjecture,
adj(cell1,cell100),
inference(split_conjunct,[status(thm)],[4955]) ).
cnf(9785,plain,
cell82 != cell100,
inference(split_conjunct,[status(thm)],[4750]) ).
cnf(9786,plain,
cell82 != cell1,
inference(split_conjunct,[status(thm)],[4751]) ).
cnf(9833,plain,
cell35 != cell100,
inference(split_conjunct,[status(thm)],[4798]) ).
cnf(9844,plain,
cell40 != cell1,
inference(split_conjunct,[status(thm)],[4809]) ).
cnf(9845,plain,
cell40 != cell100,
inference(split_conjunct,[status(thm)],[4810]) ).
cnf(9856,plain,
cell6 != cell100,
inference(split_conjunct,[status(thm)],[4821]) ).
cnf(9859,plain,
cell67 != cell1,
inference(split_conjunct,[status(thm)],[4824]) ).
cnf(9892,plain,
cell14 != cell100,
inference(split_conjunct,[status(thm)],[4857]) ).
cnf(9925,plain,
cell34 != cell1,
inference(split_conjunct,[status(thm)],[4890]) ).
cnf(9973,plain,
cell99 != cell1,
inference(split_conjunct,[status(thm)],[4938]) ).
fof(9989,plain,
! [X2,X1] :
( ( ~ epred1_2(X1,X2)
| ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 ) )
& ( ( ( X2 != cell1
| X1 != cell2 )
& ( X2 != cell2
| X1 != cell3 )
& ( X2 != cell3
| X1 != cell4 )
& ( X2 != cell4
| X1 != cell5 )
& ( X2 != cell5
| X1 != cell6 ) )
| epred1_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4956]) ).
fof(9990,plain,
! [X3,X4] :
( ( ~ epred1_2(X4,X3)
| ( X3 = cell1
& X4 = cell2 )
| ( X3 = cell2
& X4 = cell3 )
| ( X3 = cell3
& X4 = cell4 )
| ( X3 = cell4
& X4 = cell5 )
| ( X3 = cell5
& X4 = cell6 ) )
& ( ( ( X3 != cell1
| X4 != cell2 )
& ( X3 != cell2
| X4 != cell3 )
& ( X3 != cell3
| X4 != cell4 )
& ( X3 != cell4
| X4 != cell5 )
& ( X3 != cell5
| X4 != cell6 ) )
| epred1_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[9989]) ).
fof(9991,plain,
! [X3,X4] :
( ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X3 = cell3
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X3 = cell3
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell4
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X4 = cell4
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X4 = cell4
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X4 = cell4
| X3 = cell2
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X3 = cell3
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X3 = cell3
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X3 = cell3
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell4
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X4 = cell4
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X4 = cell4
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X4 = cell4
| X4 = cell3
| X3 = cell1
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X3 = cell3
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X3 = cell3
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell4
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X4 = cell4
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X4 = cell4
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X4 = cell4
| X3 = cell2
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X3 = cell3
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X3 = cell3
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X3 = cell3
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell4
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X3 = cell4
| X4 = cell4
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 = cell5
| X4 = cell5
| X4 = cell4
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X4 = cell6
| X4 = cell5
| X4 = cell4
| X4 = cell3
| X4 = cell2
| ~ epred1_2(X4,X3) )
& ( X3 != cell1
| X4 != cell2
| epred1_2(X4,X3) )
& ( X3 != cell2
| X4 != cell3
| epred1_2(X4,X3) )
& ( X3 != cell3
| X4 != cell4
| epred1_2(X4,X3) )
& ( X3 != cell4
| X4 != cell5
| epred1_2(X4,X3) )
& ( X3 != cell5
| X4 != cell6
| epred1_2(X4,X3) ) ),
inference(distribute,[status(thm)],[9990]) ).
cnf(10007,plain,
( X1 = cell2
| X2 = cell2
| X1 = cell4
| X2 = cell4
| X1 = cell6
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[9991]) ).
cnf(10023,plain,
( X2 = cell1
| X2 = cell2
| X1 = cell4
| X2 = cell4
| X1 = cell6
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[9991]) ).
fof(10029,plain,
! [X2,X1] :
( ( ~ epred2_2(X1,X2)
| epred1_2(X1,X2)
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 ) )
& ( ( ~ epred1_2(X1,X2)
& ( X2 != cell6
| X1 != cell7 )
& ( X2 != cell7
| X1 != cell8 )
& ( X2 != cell8
| X1 != cell9 )
& ( X2 != cell9
| X1 != cell10 )
& ( X2 != cell11
| X1 != cell12 ) )
| epred2_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4993]) ).
fof(10030,plain,
! [X3,X4] :
( ( ~ epred2_2(X4,X3)
| epred1_2(X4,X3)
| ( X3 = cell6
& X4 = cell7 )
| ( X3 = cell7
& X4 = cell8 )
| ( X3 = cell8
& X4 = cell9 )
| ( X3 = cell9
& X4 = cell10 )
| ( X3 = cell11
& X4 = cell12 ) )
& ( ( ~ epred1_2(X4,X3)
& ( X3 != cell6
| X4 != cell7 )
& ( X3 != cell7
| X4 != cell8 )
& ( X3 != cell8
| X4 != cell9 )
& ( X3 != cell9
| X4 != cell10 )
& ( X3 != cell11
| X4 != cell12 ) )
| epred2_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10029]) ).
fof(10031,plain,
! [X3,X4] :
( ( X3 = cell11
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X4 = cell9
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X4 = cell9
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X4 = cell9
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X4 = cell9
| X3 = cell7
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X3 = cell8
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X3 = cell8
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X3 = cell8
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X3 = cell8
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X4 = cell9
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X4 = cell9
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X4 = cell9
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X4 = cell9
| X4 = cell8
| X3 = cell6
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X3 = cell8
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X3 = cell8
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X4 = cell9
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X4 = cell9
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X4 = cell9
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X4 = cell9
| X3 = cell7
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X3 = cell8
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X3 = cell8
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X3 = cell8
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X3 = cell8
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X3 = cell9
| X4 = cell9
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X3 = cell9
| X4 = cell9
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X3 = cell11
| X4 = cell10
| X4 = cell9
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( X4 = cell12
| X4 = cell10
| X4 = cell9
| X4 = cell8
| X4 = cell7
| epred1_2(X4,X3)
| ~ epred2_2(X4,X3) )
& ( ~ epred1_2(X4,X3)
| epred2_2(X4,X3) )
& ( X3 != cell6
| X4 != cell7
| epred2_2(X4,X3) )
& ( X3 != cell7
| X4 != cell8
| epred2_2(X4,X3) )
& ( X3 != cell8
| X4 != cell9
| epred2_2(X4,X3) )
& ( X3 != cell9
| X4 != cell10
| epred2_2(X4,X3) )
& ( X3 != cell11
| X4 != cell12
| epred2_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10030]) ).
cnf(10060,plain,
( epred1_2(X1,X2)
| X2 = cell6
| X1 = cell8
| X2 = cell8
| X2 = cell9
| X1 = cell12
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10031]) ).
fof(10070,plain,
! [X2,X1] :
( ( ~ epred3_2(X1,X2)
| epred2_2(X1,X2)
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) )
& ( ( ~ epred2_2(X1,X2)
& ( X2 != cell12
| X1 != cell13 )
& ( X2 != cell13
| X1 != cell14 )
& ( X2 != cell14
| X1 != cell15 )
& ( X2 != cell15
| X1 != cell16 )
& ( X2 != cell16
| X1 != cell17 ) )
| epred3_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4994]) ).
fof(10071,plain,
! [X3,X4] :
( ( ~ epred3_2(X4,X3)
| epred2_2(X4,X3)
| ( X3 = cell12
& X4 = cell13 )
| ( X3 = cell13
& X4 = cell14 )
| ( X3 = cell14
& X4 = cell15 )
| ( X3 = cell15
& X4 = cell16 )
| ( X3 = cell16
& X4 = cell17 ) )
& ( ( ~ epred2_2(X4,X3)
& ( X3 != cell12
| X4 != cell13 )
& ( X3 != cell13
| X4 != cell14 )
& ( X3 != cell14
| X4 != cell15 )
& ( X3 != cell15
| X4 != cell16 )
& ( X3 != cell16
| X4 != cell17 ) )
| epred3_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10070]) ).
fof(10072,plain,
! [X3,X4] :
( ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X3 = cell12
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X3 = cell13
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X3 = cell14
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X3 = cell15
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X3 = cell16
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( X4 = cell17
| X4 = cell16
| X4 = cell15
| X4 = cell14
| X4 = cell13
| epred2_2(X4,X3)
| ~ epred3_2(X4,X3) )
& ( ~ epred2_2(X4,X3)
| epred3_2(X4,X3) )
& ( X3 != cell12
| X4 != cell13
| epred3_2(X4,X3) )
& ( X3 != cell13
| X4 != cell14
| epred3_2(X4,X3) )
& ( X3 != cell14
| X4 != cell15
| epred3_2(X4,X3) )
& ( X3 != cell15
| X4 != cell16
| epred3_2(X4,X3) )
& ( X3 != cell16
| X4 != cell17
| epred3_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10071]) ).
cnf(10101,plain,
( epred2_2(X1,X2)
| X2 = cell12
| X1 = cell14
| X2 = cell14
| X2 = cell15
| X1 = cell17
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10072]) ).
fof(10111,plain,
! [X2,X1] :
( ( ~ epred4_2(X1,X2)
| epred3_2(X1,X2)
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) )
& ( ( ~ epred3_2(X1,X2)
& ( X2 != cell17
| X1 != cell18 )
& ( X2 != cell18
| X1 != cell19 )
& ( X2 != cell19
| X1 != cell20 )
& ( X2 != cell21
| X1 != cell22 )
& ( X2 != cell22
| X1 != cell23 ) )
| epred4_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4995]) ).
fof(10112,plain,
! [X3,X4] :
( ( ~ epred4_2(X4,X3)
| epred3_2(X4,X3)
| ( X3 = cell17
& X4 = cell18 )
| ( X3 = cell18
& X4 = cell19 )
| ( X3 = cell19
& X4 = cell20 )
| ( X3 = cell21
& X4 = cell22 )
| ( X3 = cell22
& X4 = cell23 ) )
& ( ( ~ epred3_2(X4,X3)
& ( X3 != cell17
| X4 != cell18 )
& ( X3 != cell18
| X4 != cell19 )
& ( X3 != cell19
| X4 != cell20 )
& ( X3 != cell21
| X4 != cell22 )
& ( X3 != cell22
| X4 != cell23 ) )
| epred4_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10111]) ).
fof(10113,plain,
! [X3,X4] :
( ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X3 = cell17
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X3 = cell18
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X3 = cell19
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X3 = cell21
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X3 = cell22
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( X4 = cell23
| X4 = cell22
| X4 = cell20
| X4 = cell19
| X4 = cell18
| epred3_2(X4,X3)
| ~ epred4_2(X4,X3) )
& ( ~ epred3_2(X4,X3)
| epred4_2(X4,X3) )
& ( X3 != cell17
| X4 != cell18
| epred4_2(X4,X3) )
& ( X3 != cell18
| X4 != cell19
| epred4_2(X4,X3) )
& ( X3 != cell19
| X4 != cell20
| epred4_2(X4,X3) )
& ( X3 != cell21
| X4 != cell22
| epred4_2(X4,X3) )
& ( X3 != cell22
| X4 != cell23
| epred4_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10112]) ).
cnf(10139,plain,
( epred3_2(X1,X2)
| X2 = cell17
| X1 = cell19
| X1 = cell20
| X2 = cell21
| X2 = cell22
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10113]) ).
fof(10152,plain,
! [X2,X1] :
( ( ~ epred5_2(X1,X2)
| epred4_2(X1,X2)
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) )
& ( ( ~ epred4_2(X1,X2)
& ( X2 != cell23
| X1 != cell24 )
& ( X2 != cell24
| X1 != cell25 )
& ( X2 != cell25
| X1 != cell26 )
& ( X2 != cell26
| X1 != cell27 )
& ( X2 != cell27
| X1 != cell28 ) )
| epred5_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4996]) ).
fof(10153,plain,
! [X3,X4] :
( ( ~ epred5_2(X4,X3)
| epred4_2(X4,X3)
| ( X3 = cell23
& X4 = cell24 )
| ( X3 = cell24
& X4 = cell25 )
| ( X3 = cell25
& X4 = cell26 )
| ( X3 = cell26
& X4 = cell27 )
| ( X3 = cell27
& X4 = cell28 ) )
& ( ( ~ epred4_2(X4,X3)
& ( X3 != cell23
| X4 != cell24 )
& ( X3 != cell24
| X4 != cell25 )
& ( X3 != cell25
| X4 != cell26 )
& ( X3 != cell26
| X4 != cell27 )
& ( X3 != cell27
| X4 != cell28 ) )
| epred5_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10152]) ).
fof(10154,plain,
! [X3,X4] :
( ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X3 = cell23
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X3 = cell24
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X3 = cell25
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X3 = cell26
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X3 = cell27
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( X4 = cell28
| X4 = cell27
| X4 = cell26
| X4 = cell25
| X4 = cell24
| epred4_2(X4,X3)
| ~ epred5_2(X4,X3) )
& ( ~ epred4_2(X4,X3)
| epred5_2(X4,X3) )
& ( X3 != cell23
| X4 != cell24
| epred5_2(X4,X3) )
& ( X3 != cell24
| X4 != cell25
| epred5_2(X4,X3) )
& ( X3 != cell25
| X4 != cell26
| epred5_2(X4,X3) )
& ( X3 != cell26
| X4 != cell27
| epred5_2(X4,X3) )
& ( X3 != cell27
| X4 != cell28
| epred5_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10153]) ).
cnf(10163,plain,
( epred4_2(X1,X2)
| X1 = cell24
| X1 = cell25
| X1 = cell26
| X2 = cell26
| X1 = cell28
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10154]) ).
fof(10193,plain,
! [X2,X1] :
( ( ~ epred6_2(X1,X2)
| epred5_2(X1,X2)
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) )
& ( ( ~ epred5_2(X1,X2)
& ( X2 != cell28
| X1 != cell29 )
& ( X2 != cell29
| X1 != cell30 )
& ( X2 != cell31
| X1 != cell32 )
& ( X2 != cell32
| X1 != cell33 )
& ( X2 != cell33
| X1 != cell34 ) )
| epred6_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4997]) ).
fof(10194,plain,
! [X3,X4] :
( ( ~ epred6_2(X4,X3)
| epred5_2(X4,X3)
| ( X3 = cell28
& X4 = cell29 )
| ( X3 = cell29
& X4 = cell30 )
| ( X3 = cell31
& X4 = cell32 )
| ( X3 = cell32
& X4 = cell33 )
| ( X3 = cell33
& X4 = cell34 ) )
& ( ( ~ epred5_2(X4,X3)
& ( X3 != cell28
| X4 != cell29 )
& ( X3 != cell29
| X4 != cell30 )
& ( X3 != cell31
| X4 != cell32 )
& ( X3 != cell32
| X4 != cell33 )
& ( X3 != cell33
| X4 != cell34 ) )
| epred6_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10193]) ).
fof(10195,plain,
! [X3,X4] :
( ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X3 = cell28
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell29
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X3 = cell31
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X3 = cell32
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X3 = cell33
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell30
| X4 = cell29
| epred5_2(X4,X3)
| ~ epred6_2(X4,X3) )
& ( ~ epred5_2(X4,X3)
| epred6_2(X4,X3) )
& ( X3 != cell28
| X4 != cell29
| epred6_2(X4,X3) )
& ( X3 != cell29
| X4 != cell30
| epred6_2(X4,X3) )
& ( X3 != cell31
| X4 != cell32
| epred6_2(X4,X3) )
& ( X3 != cell32
| X4 != cell33
| epred6_2(X4,X3) )
& ( X3 != cell33
| X4 != cell34
| epred6_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10194]) ).
cnf(10203,plain,
( epred5_2(X1,X2)
| X1 = cell29
| X1 = cell30
| X1 = cell32
| X1 = cell33
| X2 = cell33
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10195]) ).
fof(10234,plain,
! [X2,X1] :
( ( ~ epred7_2(X1,X2)
| epred6_2(X1,X2)
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) )
& ( ( ~ epred6_2(X1,X2)
& ( X2 != cell34
| X1 != cell35 )
& ( X2 != cell35
| X1 != cell36 )
& ( X2 != cell36
| X1 != cell37 )
& ( X2 != cell37
| X1 != cell38 )
& ( X2 != cell38
| X1 != cell39 ) )
| epred7_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4998]) ).
fof(10235,plain,
! [X3,X4] :
( ( ~ epred7_2(X4,X3)
| epred6_2(X4,X3)
| ( X3 = cell34
& X4 = cell35 )
| ( X3 = cell35
& X4 = cell36 )
| ( X3 = cell36
& X4 = cell37 )
| ( X3 = cell37
& X4 = cell38 )
| ( X3 = cell38
& X4 = cell39 ) )
& ( ( ~ epred6_2(X4,X3)
& ( X3 != cell34
| X4 != cell35 )
& ( X3 != cell35
| X4 != cell36 )
& ( X3 != cell36
| X4 != cell37 )
& ( X3 != cell37
| X4 != cell38 )
& ( X3 != cell38
| X4 != cell39 ) )
| epred7_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10234]) ).
fof(10236,plain,
! [X3,X4] :
( ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X3 = cell34
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell35
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X3 = cell36
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X3 = cell37
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X3 = cell38
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| X4 = cell35
| epred6_2(X4,X3)
| ~ epred7_2(X4,X3) )
& ( ~ epred6_2(X4,X3)
| epred7_2(X4,X3) )
& ( X3 != cell34
| X4 != cell35
| epred7_2(X4,X3) )
& ( X3 != cell35
| X4 != cell36
| epred7_2(X4,X3) )
& ( X3 != cell36
| X4 != cell37
| epred7_2(X4,X3) )
& ( X3 != cell37
| X4 != cell38
| epred7_2(X4,X3) )
& ( X3 != cell38
| X4 != cell39
| epred7_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10235]) ).
cnf(10247,plain,
( epred6_2(X1,X2)
| X1 = cell35
| X1 = cell36
| X2 = cell36
| X1 = cell38
| X1 = cell39
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10236]) ).
fof(10275,plain,
! [X2,X1] :
( ( ~ epred8_2(X1,X2)
| epred7_2(X1,X2)
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) )
& ( ( ~ epred7_2(X1,X2)
& ( X2 != cell39
| X1 != cell40 )
& ( X2 != cell41
| X1 != cell42 )
& ( X2 != cell42
| X1 != cell43 )
& ( X2 != cell43
| X1 != cell44 )
& ( X2 != cell44
| X1 != cell45 ) )
| epred8_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4999]) ).
fof(10276,plain,
! [X3,X4] :
( ( ~ epred8_2(X4,X3)
| epred7_2(X4,X3)
| ( X3 = cell39
& X4 = cell40 )
| ( X3 = cell41
& X4 = cell42 )
| ( X3 = cell42
& X4 = cell43 )
| ( X3 = cell43
& X4 = cell44 )
| ( X3 = cell44
& X4 = cell45 ) )
& ( ( ~ epred7_2(X4,X3)
& ( X3 != cell39
| X4 != cell40 )
& ( X3 != cell41
| X4 != cell42 )
& ( X3 != cell42
| X4 != cell43 )
& ( X3 != cell43
| X4 != cell44 )
& ( X3 != cell44
| X4 != cell45 ) )
| epred8_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10275]) ).
fof(10277,plain,
! [X3,X4] :
( ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell39
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell41
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell42
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X3 = cell43
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X3 = cell44
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell40
| epred7_2(X4,X3)
| ~ epred8_2(X4,X3) )
& ( ~ epred7_2(X4,X3)
| epred8_2(X4,X3) )
& ( X3 != cell39
| X4 != cell40
| epred8_2(X4,X3) )
& ( X3 != cell41
| X4 != cell42
| epred8_2(X4,X3) )
& ( X3 != cell42
| X4 != cell43
| epred8_2(X4,X3) )
& ( X3 != cell43
| X4 != cell44
| epred8_2(X4,X3) )
& ( X3 != cell44
| X4 != cell45
| epred8_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10276]) ).
cnf(10308,plain,
( epred7_2(X1,X2)
| X2 = cell39
| X2 = cell41
| X1 = cell43
| X1 = cell44
| X1 = cell45
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10277]) ).
fof(10316,plain,
! [X2,X1] :
( ( ~ epred9_2(X1,X2)
| epred8_2(X1,X2)
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) )
& ( ( ~ epred8_2(X1,X2)
& ( X2 != cell45
| X1 != cell46 )
& ( X2 != cell46
| X1 != cell47 )
& ( X2 != cell47
| X1 != cell48 )
& ( X2 != cell48
| X1 != cell49 )
& ( X2 != cell49
| X1 != cell50 ) )
| epred9_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5000]) ).
fof(10317,plain,
! [X3,X4] :
( ( ~ epred9_2(X4,X3)
| epred8_2(X4,X3)
| ( X3 = cell45
& X4 = cell46 )
| ( X3 = cell46
& X4 = cell47 )
| ( X3 = cell47
& X4 = cell48 )
| ( X3 = cell48
& X4 = cell49 )
| ( X3 = cell49
& X4 = cell50 ) )
& ( ( ~ epred8_2(X4,X3)
& ( X3 != cell45
| X4 != cell46 )
& ( X3 != cell46
| X4 != cell47 )
& ( X3 != cell47
| X4 != cell48 )
& ( X3 != cell48
| X4 != cell49 )
& ( X3 != cell49
| X4 != cell50 ) )
| epred9_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10316]) ).
fof(10318,plain,
! [X3,X4] :
( ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell45
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell46
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell47
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X3 = cell48
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X3 = cell49
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred8_2(X4,X3)
| ~ epred9_2(X4,X3) )
& ( ~ epred8_2(X4,X3)
| epred9_2(X4,X3) )
& ( X3 != cell45
| X4 != cell46
| epred9_2(X4,X3) )
& ( X3 != cell46
| X4 != cell47
| epred9_2(X4,X3) )
& ( X3 != cell47
| X4 != cell48
| epred9_2(X4,X3) )
& ( X3 != cell48
| X4 != cell49
| epred9_2(X4,X3) )
& ( X3 != cell49
| X4 != cell50
| epred9_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10317]) ).
cnf(10346,plain,
( epred8_2(X1,X2)
| X2 = cell45
| X1 = cell47
| X2 = cell47
| X1 = cell49
| X2 = cell49
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10318]) ).
fof(10357,plain,
! [X2,X1] :
( ( ~ epred10_2(X1,X2)
| epred9_2(X1,X2)
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) )
& ( ( ~ epred9_2(X1,X2)
& ( X2 != cell51
| X1 != cell52 )
& ( X2 != cell52
| X1 != cell53 )
& ( X2 != cell53
| X1 != cell54 )
& ( X2 != cell54
| X1 != cell55 )
& ( X2 != cell55
| X1 != cell56 ) )
| epred10_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5001]) ).
fof(10358,plain,
! [X3,X4] :
( ( ~ epred10_2(X4,X3)
| epred9_2(X4,X3)
| ( X3 = cell51
& X4 = cell52 )
| ( X3 = cell52
& X4 = cell53 )
| ( X3 = cell53
& X4 = cell54 )
| ( X3 = cell54
& X4 = cell55 )
| ( X3 = cell55
& X4 = cell56 ) )
& ( ( ~ epred9_2(X4,X3)
& ( X3 != cell51
| X4 != cell52 )
& ( X3 != cell52
| X4 != cell53 )
& ( X3 != cell53
| X4 != cell54 )
& ( X3 != cell54
| X4 != cell55 )
& ( X3 != cell55
| X4 != cell56 ) )
| epred10_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10357]) ).
fof(10359,plain,
! [X3,X4] :
( ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell51
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X3 = cell52
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X3 = cell53
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X3 = cell54
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X3 = cell55
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( X4 = cell56
| X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| epred9_2(X4,X3)
| ~ epred10_2(X4,X3) )
& ( ~ epred9_2(X4,X3)
| epred10_2(X4,X3) )
& ( X3 != cell51
| X4 != cell52
| epred10_2(X4,X3) )
& ( X3 != cell52
| X4 != cell53
| epred10_2(X4,X3) )
& ( X3 != cell53
| X4 != cell54
| epred10_2(X4,X3) )
& ( X3 != cell54
| X4 != cell55
| epred10_2(X4,X3) )
& ( X3 != cell55
| X4 != cell56
| epred10_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10358]) ).
cnf(10371,plain,
( epred9_2(X1,X2)
| X1 = cell52
| X1 = cell53
| X2 = cell53
| X1 = cell55
| X2 = cell55
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10359]) ).
fof(10398,plain,
! [X2,X1] :
( ( ~ epred11_2(X1,X2)
| epred10_2(X1,X2)
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) )
& ( ( ~ epred10_2(X1,X2)
& ( X2 != cell56
| X1 != cell57 )
& ( X2 != cell57
| X1 != cell58 )
& ( X2 != cell58
| X1 != cell59 )
& ( X2 != cell59
| X1 != cell60 )
& ( X2 != cell61
| X1 != cell62 ) )
| epred11_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5002]) ).
fof(10399,plain,
! [X3,X4] :
( ( ~ epred11_2(X4,X3)
| epred10_2(X4,X3)
| ( X3 = cell56
& X4 = cell57 )
| ( X3 = cell57
& X4 = cell58 )
| ( X3 = cell58
& X4 = cell59 )
| ( X3 = cell59
& X4 = cell60 )
| ( X3 = cell61
& X4 = cell62 ) )
& ( ( ~ epred10_2(X4,X3)
& ( X3 != cell56
| X4 != cell57 )
& ( X3 != cell57
| X4 != cell58 )
& ( X3 != cell58
| X4 != cell59 )
& ( X3 != cell59
| X4 != cell60 )
& ( X3 != cell61
| X4 != cell62 ) )
| epred11_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10398]) ).
fof(10400,plain,
! [X3,X4] :
( ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell56
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X3 = cell57
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X3 = cell58
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X3 = cell59
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X3 = cell61
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( X4 = cell62
| X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| epred10_2(X4,X3)
| ~ epred11_2(X4,X3) )
& ( ~ epred10_2(X4,X3)
| epred11_2(X4,X3) )
& ( X3 != cell56
| X4 != cell57
| epred11_2(X4,X3) )
& ( X3 != cell57
| X4 != cell58
| epred11_2(X4,X3) )
& ( X3 != cell58
| X4 != cell59
| epred11_2(X4,X3) )
& ( X3 != cell59
| X4 != cell60
| epred11_2(X4,X3) )
& ( X3 != cell61
| X4 != cell62
| epred11_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10399]) ).
cnf(10433,plain,
( epred10_2(X1,X2)
| X2 = cell56
| X2 = cell57
| X1 = cell59
| X2 = cell59
| X1 = cell62
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10400]) ).
fof(10439,plain,
! [X2,X1] :
( ( ~ epred12_2(X1,X2)
| epred11_2(X1,X2)
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) )
& ( ( ~ epred11_2(X1,X2)
& ( X2 != cell62
| X1 != cell63 )
& ( X2 != cell63
| X1 != cell64 )
& ( X2 != cell64
| X1 != cell65 )
& ( X2 != cell65
| X1 != cell66 )
& ( X2 != cell66
| X1 != cell67 ) )
| epred12_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5003]) ).
fof(10440,plain,
! [X3,X4] :
( ( ~ epred12_2(X4,X3)
| epred11_2(X4,X3)
| ( X3 = cell62
& X4 = cell63 )
| ( X3 = cell63
& X4 = cell64 )
| ( X3 = cell64
& X4 = cell65 )
| ( X3 = cell65
& X4 = cell66 )
| ( X3 = cell66
& X4 = cell67 ) )
& ( ( ~ epred11_2(X4,X3)
& ( X3 != cell62
| X4 != cell63 )
& ( X3 != cell63
| X4 != cell64 )
& ( X3 != cell64
| X4 != cell65 )
& ( X3 != cell65
| X4 != cell66 )
& ( X3 != cell66
| X4 != cell67 ) )
| epred12_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10439]) ).
fof(10441,plain,
! [X3,X4] :
( ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X3 = cell62
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X3 = cell63
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X3 = cell64
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X3 = cell65
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X3 = cell66
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( X4 = cell67
| X4 = cell66
| X4 = cell65
| X4 = cell64
| X4 = cell63
| epred11_2(X4,X3)
| ~ epred12_2(X4,X3) )
& ( ~ epred11_2(X4,X3)
| epred12_2(X4,X3) )
& ( X3 != cell62
| X4 != cell63
| epred12_2(X4,X3) )
& ( X3 != cell63
| X4 != cell64
| epred12_2(X4,X3) )
& ( X3 != cell64
| X4 != cell65
| epred12_2(X4,X3) )
& ( X3 != cell65
| X4 != cell66
| epred12_2(X4,X3) )
& ( X3 != cell66
| X4 != cell67
| epred12_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10440]) ).
cnf(10473,plain,
( epred11_2(X1,X2)
| X2 = cell62
| X2 = cell63
| X1 = cell65
| X1 = cell66
| X2 = cell66
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10441]) ).
fof(10480,plain,
! [X2,X1] :
( ( ~ epred13_2(X1,X2)
| epred12_2(X1,X2)
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) )
& ( ( ~ epred12_2(X1,X2)
& ( X2 != cell67
| X1 != cell68 )
& ( X2 != cell68
| X1 != cell69 )
& ( X2 != cell69
| X1 != cell70 )
& ( X2 != cell71
| X1 != cell72 )
& ( X2 != cell72
| X1 != cell73 ) )
| epred13_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5004]) ).
fof(10481,plain,
! [X3,X4] :
( ( ~ epred13_2(X4,X3)
| epred12_2(X4,X3)
| ( X3 = cell67
& X4 = cell68 )
| ( X3 = cell68
& X4 = cell69 )
| ( X3 = cell69
& X4 = cell70 )
| ( X3 = cell71
& X4 = cell72 )
| ( X3 = cell72
& X4 = cell73 ) )
& ( ( ~ epred12_2(X4,X3)
& ( X3 != cell67
| X4 != cell68 )
& ( X3 != cell68
| X4 != cell69 )
& ( X3 != cell69
| X4 != cell70 )
& ( X3 != cell71
| X4 != cell72 )
& ( X3 != cell72
| X4 != cell73 ) )
| epred13_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10480]) ).
fof(10482,plain,
! [X3,X4] :
( ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X3 = cell67
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X3 = cell68
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X3 = cell69
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X3 = cell71
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X3 = cell72
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( X4 = cell73
| X4 = cell72
| X4 = cell70
| X4 = cell69
| X4 = cell68
| epred12_2(X4,X3)
| ~ epred13_2(X4,X3) )
& ( ~ epred12_2(X4,X3)
| epred13_2(X4,X3) )
& ( X3 != cell67
| X4 != cell68
| epred13_2(X4,X3) )
& ( X3 != cell68
| X4 != cell69
| epred13_2(X4,X3) )
& ( X3 != cell69
| X4 != cell70
| epred13_2(X4,X3) )
& ( X3 != cell71
| X4 != cell72
| epred13_2(X4,X3) )
& ( X3 != cell72
| X4 != cell73
| epred13_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10481]) ).
cnf(10518,plain,
( epred12_2(X1,X2)
| X2 = cell67
| X2 = cell68
| X2 = cell69
| X1 = cell72
| X2 = cell72
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10482]) ).
fof(10521,plain,
! [X2,X1] :
( ( ~ epred14_2(X1,X2)
| epred13_2(X1,X2)
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) )
& ( ( ~ epred13_2(X1,X2)
& ( X2 != cell73
| X1 != cell74 )
& ( X2 != cell74
| X1 != cell75 )
& ( X2 != cell75
| X1 != cell76 )
& ( X2 != cell76
| X1 != cell77 )
& ( X2 != cell77
| X1 != cell78 ) )
| epred14_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5005]) ).
fof(10522,plain,
! [X3,X4] :
( ( ~ epred14_2(X4,X3)
| epred13_2(X4,X3)
| ( X3 = cell73
& X4 = cell74 )
| ( X3 = cell74
& X4 = cell75 )
| ( X3 = cell75
& X4 = cell76 )
| ( X3 = cell76
& X4 = cell77 )
| ( X3 = cell77
& X4 = cell78 ) )
& ( ( ~ epred13_2(X4,X3)
& ( X3 != cell73
| X4 != cell74 )
& ( X3 != cell74
| X4 != cell75 )
& ( X3 != cell75
| X4 != cell76 )
& ( X3 != cell76
| X4 != cell77 )
& ( X3 != cell77
| X4 != cell78 ) )
| epred14_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10521]) ).
fof(10523,plain,
! [X3,X4] :
( ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X3 = cell73
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X3 = cell74
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X3 = cell75
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X3 = cell76
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X3 = cell77
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( X4 = cell78
| X4 = cell77
| X4 = cell76
| X4 = cell75
| X4 = cell74
| epred13_2(X4,X3)
| ~ epred14_2(X4,X3) )
& ( ~ epred13_2(X4,X3)
| epred14_2(X4,X3) )
& ( X3 != cell73
| X4 != cell74
| epred14_2(X4,X3) )
& ( X3 != cell74
| X4 != cell75
| epred14_2(X4,X3) )
& ( X3 != cell75
| X4 != cell76
| epred14_2(X4,X3) )
& ( X3 != cell76
| X4 != cell77
| epred14_2(X4,X3) )
& ( X3 != cell77
| X4 != cell78
| epred14_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10522]) ).
cnf(10560,plain,
( epred13_2(X1,X2)
| X2 = cell73
| X2 = cell74
| X2 = cell75
| X2 = cell76
| X1 = cell78
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10523]) ).
fof(10562,plain,
! [X2,X1] :
( ( ~ epred15_2(X1,X2)
| epred14_2(X1,X2)
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) )
& ( ( ~ epred14_2(X1,X2)
& ( X2 != cell78
| X1 != cell79 )
& ( X2 != cell79
| X1 != cell80 )
& ( X2 != cell81
| X1 != cell82 )
& ( X2 != cell82
| X1 != cell83 )
& ( X2 != cell83
| X1 != cell84 ) )
| epred15_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5006]) ).
fof(10563,plain,
! [X3,X4] :
( ( ~ epred15_2(X4,X3)
| epred14_2(X4,X3)
| ( X3 = cell78
& X4 = cell79 )
| ( X3 = cell79
& X4 = cell80 )
| ( X3 = cell81
& X4 = cell82 )
| ( X3 = cell82
& X4 = cell83 )
| ( X3 = cell83
& X4 = cell84 ) )
& ( ( ~ epred14_2(X4,X3)
& ( X3 != cell78
| X4 != cell79 )
& ( X3 != cell79
| X4 != cell80 )
& ( X3 != cell81
| X4 != cell82 )
& ( X3 != cell82
| X4 != cell83 )
& ( X3 != cell83
| X4 != cell84 ) )
| epred15_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10562]) ).
fof(10564,plain,
! [X3,X4] :
( ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X3 = cell78
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell79
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X3 = cell81
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X3 = cell82
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X3 = cell83
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell80
| X4 = cell79
| epred14_2(X4,X3)
| ~ epred15_2(X4,X3) )
& ( ~ epred14_2(X4,X3)
| epred15_2(X4,X3) )
& ( X3 != cell78
| X4 != cell79
| epred15_2(X4,X3) )
& ( X3 != cell79
| X4 != cell80
| epred15_2(X4,X3) )
& ( X3 != cell81
| X4 != cell82
| epred15_2(X4,X3) )
& ( X3 != cell82
| X4 != cell83
| epred15_2(X4,X3) )
& ( X3 != cell83
| X4 != cell84
| epred15_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10563]) ).
cnf(10592,plain,
( epred14_2(X1,X2)
| X2 = cell78
| X1 = cell80
| X2 = cell81
| X1 = cell83
| X2 = cell83
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10564]) ).
fof(10603,plain,
! [X2,X1] :
( ( ~ epred16_2(X1,X2)
| epred15_2(X1,X2)
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) )
& ( ( ~ epred15_2(X1,X2)
& ( X2 != cell84
| X1 != cell85 )
& ( X2 != cell85
| X1 != cell86 )
& ( X2 != cell86
| X1 != cell87 )
& ( X2 != cell87
| X1 != cell88 )
& ( X2 != cell88
| X1 != cell89 ) )
| epred16_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5007]) ).
fof(10604,plain,
! [X3,X4] :
( ( ~ epred16_2(X4,X3)
| epred15_2(X4,X3)
| ( X3 = cell84
& X4 = cell85 )
| ( X3 = cell85
& X4 = cell86 )
| ( X3 = cell86
& X4 = cell87 )
| ( X3 = cell87
& X4 = cell88 )
| ( X3 = cell88
& X4 = cell89 ) )
& ( ( ~ epred15_2(X4,X3)
& ( X3 != cell84
| X4 != cell85 )
& ( X3 != cell85
| X4 != cell86 )
& ( X3 != cell86
| X4 != cell87 )
& ( X3 != cell87
| X4 != cell88 )
& ( X3 != cell88
| X4 != cell89 ) )
| epred16_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10603]) ).
fof(10605,plain,
! [X3,X4] :
( ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X3 = cell84
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell85
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X3 = cell86
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X3 = cell87
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X3 = cell88
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| X4 = cell85
| epred15_2(X4,X3)
| ~ epred16_2(X4,X3) )
& ( ~ epred15_2(X4,X3)
| epred16_2(X4,X3) )
& ( X3 != cell84
| X4 != cell85
| epred16_2(X4,X3) )
& ( X3 != cell85
| X4 != cell86
| epred16_2(X4,X3) )
& ( X3 != cell86
| X4 != cell87
| epred16_2(X4,X3) )
& ( X3 != cell87
| X4 != cell88
| epred16_2(X4,X3) )
& ( X3 != cell88
| X4 != cell89
| epred16_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10604]) ).
cnf(10625,plain,
( epred15_2(X1,X2)
| X1 = cell85
| X2 = cell85
| X2 = cell86
| X1 = cell88
| X2 = cell88
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10605]) ).
fof(10644,plain,
! [X2,X1] :
( ( ~ epred17_2(X1,X2)
| epred16_2(X1,X2)
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) )
& ( ( ~ epred16_2(X1,X2)
& ( X2 != cell89
| X1 != cell90 )
& ( X2 != cell91
| X1 != cell92 )
& ( X2 != cell92
| X1 != cell93 )
& ( X2 != cell93
| X1 != cell94 )
& ( X2 != cell94
| X1 != cell95 ) )
| epred17_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5008]) ).
fof(10645,plain,
! [X3,X4] :
( ( ~ epred17_2(X4,X3)
| epred16_2(X4,X3)
| ( X3 = cell89
& X4 = cell90 )
| ( X3 = cell91
& X4 = cell92 )
| ( X3 = cell92
& X4 = cell93 )
| ( X3 = cell93
& X4 = cell94 )
| ( X3 = cell94
& X4 = cell95 ) )
& ( ( ~ epred16_2(X4,X3)
& ( X3 != cell89
| X4 != cell90 )
& ( X3 != cell91
| X4 != cell92 )
& ( X3 != cell92
| X4 != cell93 )
& ( X3 != cell93
| X4 != cell94 )
& ( X3 != cell94
| X4 != cell95 ) )
| epred17_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10644]) ).
fof(10646,plain,
! [X3,X4] :
( ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell89
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell91
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell92
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X3 = cell93
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X3 = cell94
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell90
| epred16_2(X4,X3)
| ~ epred17_2(X4,X3) )
& ( ~ epred16_2(X4,X3)
| epred17_2(X4,X3) )
& ( X3 != cell89
| X4 != cell90
| epred17_2(X4,X3) )
& ( X3 != cell91
| X4 != cell92
| epred17_2(X4,X3) )
& ( X3 != cell92
| X4 != cell93
| epred17_2(X4,X3) )
& ( X3 != cell93
| X4 != cell94
| epred17_2(X4,X3) )
& ( X3 != cell94
| X4 != cell95
| epred17_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10645]) ).
cnf(10668,plain,
( epred16_2(X1,X2)
| X1 = cell90
| X2 = cell91
| X2 = cell92
| X2 = cell93
| X2 = cell94
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10646]) ).
fof(10685,plain,
! [X2,X1] :
( ( ~ epred18_2(X1,X2)
| epred17_2(X1,X2)
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) )
& ( ( ~ epred17_2(X1,X2)
& ( X2 != cell95
| X1 != cell96 )
& ( X2 != cell96
| X1 != cell97 )
& ( X2 != cell97
| X1 != cell98 )
& ( X2 != cell98
| X1 != cell99 )
& ( X2 != cell99
| X1 != cell100 ) )
| epred18_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5009]) ).
fof(10686,plain,
! [X3,X4] :
( ( ~ epred18_2(X4,X3)
| epred17_2(X4,X3)
| ( X3 = cell95
& X4 = cell96 )
| ( X3 = cell96
& X4 = cell97 )
| ( X3 = cell97
& X4 = cell98 )
| ( X3 = cell98
& X4 = cell99 )
| ( X3 = cell99
& X4 = cell100 ) )
& ( ( ~ epred17_2(X4,X3)
& ( X3 != cell95
| X4 != cell96 )
& ( X3 != cell96
| X4 != cell97 )
& ( X3 != cell97
| X4 != cell98 )
& ( X3 != cell98
| X4 != cell99 )
& ( X3 != cell99
| X4 != cell100 ) )
| epred18_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10685]) ).
fof(10687,plain,
! [X3,X4] :
( ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell95
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell96
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell97
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X3 = cell98
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X3 = cell99
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred17_2(X4,X3)
| ~ epred18_2(X4,X3) )
& ( ~ epred17_2(X4,X3)
| epred18_2(X4,X3) )
& ( X3 != cell95
| X4 != cell96
| epred18_2(X4,X3) )
& ( X3 != cell96
| X4 != cell97
| epred18_2(X4,X3) )
& ( X3 != cell97
| X4 != cell98
| epred18_2(X4,X3) )
& ( X3 != cell98
| X4 != cell99
| epred18_2(X4,X3) )
& ( X3 != cell99
| X4 != cell100
| epred18_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10686]) ).
cnf(10724,plain,
( epred17_2(X1,X2)
| X2 = cell95
| X2 = cell96
| X2 = cell97
| X2 = cell98
| X1 = cell100
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10687]) ).
cnf(10725,plain,
( epred17_2(X1,X2)
| X2 = cell95
| X2 = cell96
| X2 = cell97
| X2 = cell98
| X2 = cell99
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10687]) ).
fof(10726,plain,
! [X2,X1] :
( ( ~ epred19_2(X1,X2)
| epred18_2(X1,X2)
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) )
& ( ( ~ epred18_2(X1,X2)
& ( X2 != cell1
| X1 != cell11 )
& ( X2 != cell2
| X1 != cell12 )
& ( X2 != cell3
| X1 != cell13 )
& ( X2 != cell4
| X1 != cell14 )
& ( X2 != cell5
| X1 != cell15 ) )
| epred19_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5010]) ).
fof(10727,plain,
! [X3,X4] :
( ( ~ epred19_2(X4,X3)
| epred18_2(X4,X3)
| ( X3 = cell1
& X4 = cell11 )
| ( X3 = cell2
& X4 = cell12 )
| ( X3 = cell3
& X4 = cell13 )
| ( X3 = cell4
& X4 = cell14 )
| ( X3 = cell5
& X4 = cell15 ) )
& ( ( ~ epred18_2(X4,X3)
& ( X3 != cell1
| X4 != cell11 )
& ( X3 != cell2
| X4 != cell12 )
& ( X3 != cell3
| X4 != cell13 )
& ( X3 != cell4
| X4 != cell14 )
& ( X3 != cell5
| X4 != cell15 ) )
| epred19_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10726]) ).
fof(10728,plain,
! [X3,X4] :
( ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X3 = cell1
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X3 = cell2
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X3 = cell3
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X3 = cell4
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X3 = cell5
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( X4 = cell15
| X4 = cell14
| X4 = cell13
| X4 = cell12
| X4 = cell11
| epred18_2(X4,X3)
| ~ epred19_2(X4,X3) )
& ( ~ epred18_2(X4,X3)
| epred19_2(X4,X3) )
& ( X3 != cell1
| X4 != cell11
| epred19_2(X4,X3) )
& ( X3 != cell2
| X4 != cell12
| epred19_2(X4,X3) )
& ( X3 != cell3
| X4 != cell13
| epred19_2(X4,X3) )
& ( X3 != cell4
| X4 != cell14
| epred19_2(X4,X3) )
& ( X3 != cell5
| X4 != cell15
| epred19_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10727]) ).
cnf(10750,plain,
( epred18_2(X1,X2)
| X1 = cell11
| X2 = cell2
| X2 = cell3
| X2 = cell4
| X2 = cell5
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10728]) ).
cnf(10766,plain,
( epred18_2(X1,X2)
| X2 = cell1
| X2 = cell2
| X2 = cell3
| X2 = cell4
| X2 = cell5
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10728]) ).
fof(10767,plain,
! [X2,X1] :
( ( ~ epred20_2(X1,X2)
| epred19_2(X1,X2)
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) )
& ( ( ~ epred19_2(X1,X2)
& ( X2 != cell6
| X1 != cell16 )
& ( X2 != cell7
| X1 != cell17 )
& ( X2 != cell8
| X1 != cell18 )
& ( X2 != cell9
| X1 != cell19 )
& ( X2 != cell10
| X1 != cell20 ) )
| epred20_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5011]) ).
fof(10768,plain,
! [X3,X4] :
( ( ~ epred20_2(X4,X3)
| epred19_2(X4,X3)
| ( X3 = cell6
& X4 = cell16 )
| ( X3 = cell7
& X4 = cell17 )
| ( X3 = cell8
& X4 = cell18 )
| ( X3 = cell9
& X4 = cell19 )
| ( X3 = cell10
& X4 = cell20 ) )
& ( ( ~ epred19_2(X4,X3)
& ( X3 != cell6
| X4 != cell16 )
& ( X3 != cell7
| X4 != cell17 )
& ( X3 != cell8
| X4 != cell18 )
& ( X3 != cell9
| X4 != cell19 )
& ( X3 != cell10
| X4 != cell20 ) )
| epred20_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10767]) ).
fof(10769,plain,
! [X3,X4] :
( ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X3 = cell6
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X3 = cell7
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X3 = cell8
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X3 = cell9
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X3 = cell10
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( X4 = cell20
| X4 = cell19
| X4 = cell18
| X4 = cell17
| X4 = cell16
| epred19_2(X4,X3)
| ~ epred20_2(X4,X3) )
& ( ~ epred19_2(X4,X3)
| epred20_2(X4,X3) )
& ( X3 != cell6
| X4 != cell16
| epred20_2(X4,X3) )
& ( X3 != cell7
| X4 != cell17
| epred20_2(X4,X3) )
& ( X3 != cell8
| X4 != cell18
| epred20_2(X4,X3) )
& ( X3 != cell9
| X4 != cell19
| epred20_2(X4,X3) )
& ( X3 != cell10
| X4 != cell20
| epred20_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10768]) ).
cnf(10796,plain,
( epred19_2(X1,X2)
| X2 = cell6
| X1 = cell17
| X2 = cell8
| X1 = cell19
| X1 = cell20
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10769]) ).
fof(10808,plain,
! [X2,X1] :
( ( ~ epred21_2(X1,X2)
| epred20_2(X1,X2)
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) )
& ( ( ~ epred20_2(X1,X2)
& ( X2 != cell11
| X1 != cell21 )
& ( X2 != cell12
| X1 != cell22 )
& ( X2 != cell13
| X1 != cell23 )
& ( X2 != cell14
| X1 != cell24 )
& ( X2 != cell15
| X1 != cell25 ) )
| epred21_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5012]) ).
fof(10809,plain,
! [X3,X4] :
( ( ~ epred21_2(X4,X3)
| epred20_2(X4,X3)
| ( X3 = cell11
& X4 = cell21 )
| ( X3 = cell12
& X4 = cell22 )
| ( X3 = cell13
& X4 = cell23 )
| ( X3 = cell14
& X4 = cell24 )
| ( X3 = cell15
& X4 = cell25 ) )
& ( ( ~ epred20_2(X4,X3)
& ( X3 != cell11
| X4 != cell21 )
& ( X3 != cell12
| X4 != cell22 )
& ( X3 != cell13
| X4 != cell23 )
& ( X3 != cell14
| X4 != cell24 )
& ( X3 != cell15
| X4 != cell25 ) )
| epred21_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10808]) ).
fof(10810,plain,
! [X3,X4] :
( ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X3 = cell11
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X3 = cell12
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X3 = cell13
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X3 = cell14
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X3 = cell15
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( X4 = cell25
| X4 = cell24
| X4 = cell23
| X4 = cell22
| X4 = cell21
| epred20_2(X4,X3)
| ~ epred21_2(X4,X3) )
& ( ~ epred20_2(X4,X3)
| epred21_2(X4,X3) )
& ( X3 != cell11
| X4 != cell21
| epred21_2(X4,X3) )
& ( X3 != cell12
| X4 != cell22
| epred21_2(X4,X3) )
& ( X3 != cell13
| X4 != cell23
| epred21_2(X4,X3) )
& ( X3 != cell14
| X4 != cell24
| epred21_2(X4,X3) )
& ( X3 != cell15
| X4 != cell25
| epred21_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10809]) ).
cnf(10848,plain,
( epred20_2(X1,X2)
| X2 = cell11
| X2 = cell12
| X2 = cell13
| X2 = cell14
| X2 = cell15
| ~ epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10810]) ).
fof(10849,plain,
! [X2,X1] :
( ( ~ epred22_2(X1,X2)
| epred21_2(X1,X2)
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) )
& ( ( ~ epred21_2(X1,X2)
& ( X2 != cell16
| X1 != cell26 )
& ( X2 != cell17
| X1 != cell27 )
& ( X2 != cell18
| X1 != cell28 )
& ( X2 != cell19
| X1 != cell29 )
& ( X2 != cell20
| X1 != cell30 ) )
| epred22_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5013]) ).
fof(10850,plain,
! [X3,X4] :
( ( ~ epred22_2(X4,X3)
| epred21_2(X4,X3)
| ( X3 = cell16
& X4 = cell26 )
| ( X3 = cell17
& X4 = cell27 )
| ( X3 = cell18
& X4 = cell28 )
| ( X3 = cell19
& X4 = cell29 )
| ( X3 = cell20
& X4 = cell30 ) )
& ( ( ~ epred21_2(X4,X3)
& ( X3 != cell16
| X4 != cell26 )
& ( X3 != cell17
| X4 != cell27 )
& ( X3 != cell18
| X4 != cell28 )
& ( X3 != cell19
| X4 != cell29 )
& ( X3 != cell20
| X4 != cell30 ) )
| epred22_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10849]) ).
fof(10851,plain,
! [X3,X4] :
( ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X3 = cell16
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X3 = cell17
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X3 = cell18
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X3 = cell19
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X3 = cell20
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( X4 = cell30
| X4 = cell29
| X4 = cell28
| X4 = cell27
| X4 = cell26
| epred21_2(X4,X3)
| ~ epred22_2(X4,X3) )
& ( ~ epred21_2(X4,X3)
| epred22_2(X4,X3) )
& ( X3 != cell16
| X4 != cell26
| epred22_2(X4,X3) )
& ( X3 != cell17
| X4 != cell27
| epred22_2(X4,X3) )
& ( X3 != cell18
| X4 != cell28
| epred22_2(X4,X3) )
& ( X3 != cell19
| X4 != cell29
| epred22_2(X4,X3) )
& ( X3 != cell20
| X4 != cell30
| epred22_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10850]) ).
cnf(10889,plain,
( epred21_2(X1,X2)
| X2 = cell16
| X2 = cell17
| X2 = cell18
| X2 = cell19
| X2 = cell20
| ~ epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10851]) ).
fof(10890,plain,
! [X2,X1] :
( ( ~ epred23_2(X1,X2)
| epred22_2(X1,X2)
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) )
& ( ( ~ epred22_2(X1,X2)
& ( X2 != cell21
| X1 != cell31 )
& ( X2 != cell22
| X1 != cell32 )
& ( X2 != cell23
| X1 != cell33 )
& ( X2 != cell24
| X1 != cell34 )
& ( X2 != cell25
| X1 != cell35 ) )
| epred23_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5014]) ).
fof(10891,plain,
! [X3,X4] :
( ( ~ epred23_2(X4,X3)
| epred22_2(X4,X3)
| ( X3 = cell21
& X4 = cell31 )
| ( X3 = cell22
& X4 = cell32 )
| ( X3 = cell23
& X4 = cell33 )
| ( X3 = cell24
& X4 = cell34 )
| ( X3 = cell25
& X4 = cell35 ) )
& ( ( ~ epred22_2(X4,X3)
& ( X3 != cell21
| X4 != cell31 )
& ( X3 != cell22
| X4 != cell32 )
& ( X3 != cell23
| X4 != cell33 )
& ( X3 != cell24
| X4 != cell34 )
& ( X3 != cell25
| X4 != cell35 ) )
| epred23_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10890]) ).
fof(10892,plain,
! [X3,X4] :
( ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X3 = cell21
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X3 = cell22
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X3 = cell23
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X3 = cell24
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X3 = cell25
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( X4 = cell35
| X4 = cell34
| X4 = cell33
| X4 = cell32
| X4 = cell31
| epred22_2(X4,X3)
| ~ epred23_2(X4,X3) )
& ( ~ epred22_2(X4,X3)
| epred23_2(X4,X3) )
& ( X3 != cell21
| X4 != cell31
| epred23_2(X4,X3) )
& ( X3 != cell22
| X4 != cell32
| epred23_2(X4,X3) )
& ( X3 != cell23
| X4 != cell33
| epred23_2(X4,X3) )
& ( X3 != cell24
| X4 != cell34
| epred23_2(X4,X3) )
& ( X3 != cell25
| X4 != cell35
| epred23_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10891]) ).
cnf(10915,plain,
( epred22_2(X1,X2)
| X2 = cell21
| X1 = cell32
| X1 = cell33
| X1 = cell34
| X1 = cell35
| ~ epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10892]) ).
fof(10931,plain,
! [X2,X1] :
( ( ~ epred24_2(X1,X2)
| epred23_2(X1,X2)
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) )
& ( ( ~ epred23_2(X1,X2)
& ( X2 != cell26
| X1 != cell36 )
& ( X2 != cell27
| X1 != cell37 )
& ( X2 != cell28
| X1 != cell38 )
& ( X2 != cell29
| X1 != cell39 )
& ( X2 != cell30
| X1 != cell40 ) )
| epred24_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5015]) ).
fof(10932,plain,
! [X3,X4] :
( ( ~ epred24_2(X4,X3)
| epred23_2(X4,X3)
| ( X3 = cell26
& X4 = cell36 )
| ( X3 = cell27
& X4 = cell37 )
| ( X3 = cell28
& X4 = cell38 )
| ( X3 = cell29
& X4 = cell39 )
| ( X3 = cell30
& X4 = cell40 ) )
& ( ( ~ epred23_2(X4,X3)
& ( X3 != cell26
| X4 != cell36 )
& ( X3 != cell27
| X4 != cell37 )
& ( X3 != cell28
| X4 != cell38 )
& ( X3 != cell29
| X4 != cell39 )
& ( X3 != cell30
| X4 != cell40 ) )
| epred24_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10931]) ).
fof(10933,plain,
! [X3,X4] :
( ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X3 = cell26
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X3 = cell27
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X3 = cell28
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X3 = cell29
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X3 = cell30
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( X4 = cell40
| X4 = cell39
| X4 = cell38
| X4 = cell37
| X4 = cell36
| epred23_2(X4,X3)
| ~ epred24_2(X4,X3) )
& ( ~ epred23_2(X4,X3)
| epred24_2(X4,X3) )
& ( X3 != cell26
| X4 != cell36
| epred24_2(X4,X3) )
& ( X3 != cell27
| X4 != cell37
| epred24_2(X4,X3) )
& ( X3 != cell28
| X4 != cell38
| epred24_2(X4,X3) )
& ( X3 != cell29
| X4 != cell39
| epred24_2(X4,X3) )
& ( X3 != cell30
| X4 != cell40
| epred24_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10932]) ).
cnf(10940,plain,
( epred23_2(X1,X2)
| X1 = cell36
| X1 = cell37
| X1 = cell38
| X1 = cell39
| X1 = cell40
| ~ epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10933]) ).
fof(10972,plain,
! [X2,X1] :
( ( ~ epred25_2(X1,X2)
| epred24_2(X1,X2)
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) )
& ( ( ~ epred24_2(X1,X2)
& ( X2 != cell31
| X1 != cell41 )
& ( X2 != cell32
| X1 != cell42 )
& ( X2 != cell33
| X1 != cell43 )
& ( X2 != cell34
| X1 != cell44 )
& ( X2 != cell35
| X1 != cell45 ) )
| epred25_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5016]) ).
fof(10973,plain,
! [X3,X4] :
( ( ~ epred25_2(X4,X3)
| epred24_2(X4,X3)
| ( X3 = cell31
& X4 = cell41 )
| ( X3 = cell32
& X4 = cell42 )
| ( X3 = cell33
& X4 = cell43 )
| ( X3 = cell34
& X4 = cell44 )
| ( X3 = cell35
& X4 = cell45 ) )
& ( ( ~ epred24_2(X4,X3)
& ( X3 != cell31
| X4 != cell41 )
& ( X3 != cell32
| X4 != cell42 )
& ( X3 != cell33
| X4 != cell43 )
& ( X3 != cell34
| X4 != cell44 )
& ( X3 != cell35
| X4 != cell45 ) )
| epred25_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[10972]) ).
fof(10974,plain,
! [X3,X4] :
( ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X3 = cell31
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X3 = cell32
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X3 = cell33
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X3 = cell34
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X3 = cell35
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( X4 = cell45
| X4 = cell44
| X4 = cell43
| X4 = cell42
| X4 = cell41
| epred24_2(X4,X3)
| ~ epred25_2(X4,X3) )
& ( ~ epred24_2(X4,X3)
| epred25_2(X4,X3) )
& ( X3 != cell31
| X4 != cell41
| epred25_2(X4,X3) )
& ( X3 != cell32
| X4 != cell42
| epred25_2(X4,X3) )
& ( X3 != cell33
| X4 != cell43
| epred25_2(X4,X3) )
& ( X3 != cell34
| X4 != cell44
| epred25_2(X4,X3) )
& ( X3 != cell35
| X4 != cell45
| epred25_2(X4,X3) ) ),
inference(distribute,[status(thm)],[10973]) ).
cnf(10993,plain,
( epred24_2(X1,X2)
| X1 = cell41
| X2 = cell32
| X2 = cell33
| X1 = cell44
| X1 = cell45
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[10974]) ).
fof(11013,plain,
! [X2,X1] :
( ( ~ epred26_2(X1,X2)
| epred25_2(X1,X2)
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) )
& ( ( ~ epred25_2(X1,X2)
& ( X2 != cell36
| X1 != cell46 )
& ( X2 != cell37
| X1 != cell47 )
& ( X2 != cell38
| X1 != cell48 )
& ( X2 != cell39
| X1 != cell49 )
& ( X2 != cell40
| X1 != cell50 ) )
| epred26_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5017]) ).
fof(11014,plain,
! [X3,X4] :
( ( ~ epred26_2(X4,X3)
| epred25_2(X4,X3)
| ( X3 = cell36
& X4 = cell46 )
| ( X3 = cell37
& X4 = cell47 )
| ( X3 = cell38
& X4 = cell48 )
| ( X3 = cell39
& X4 = cell49 )
| ( X3 = cell40
& X4 = cell50 ) )
& ( ( ~ epred25_2(X4,X3)
& ( X3 != cell36
| X4 != cell46 )
& ( X3 != cell37
| X4 != cell47 )
& ( X3 != cell38
| X4 != cell48 )
& ( X3 != cell39
| X4 != cell49 )
& ( X3 != cell40
| X4 != cell50 ) )
| epred26_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11013]) ).
fof(11015,plain,
! [X3,X4] :
( ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X3 = cell36
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X3 = cell37
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X3 = cell38
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X3 = cell39
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X3 = cell40
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( X4 = cell50
| X4 = cell49
| X4 = cell48
| X4 = cell47
| X4 = cell46
| epred25_2(X4,X3)
| ~ epred26_2(X4,X3) )
& ( ~ epred25_2(X4,X3)
| epred26_2(X4,X3) )
& ( X3 != cell36
| X4 != cell46
| epred26_2(X4,X3) )
& ( X3 != cell37
| X4 != cell47
| epred26_2(X4,X3) )
& ( X3 != cell38
| X4 != cell48
| epred26_2(X4,X3) )
& ( X3 != cell39
| X4 != cell49
| epred26_2(X4,X3) )
& ( X3 != cell40
| X4 != cell50
| epred26_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11014]) ).
cnf(11025,plain,
( epred25_2(X1,X2)
| X1 = cell46
| X1 = cell47
| X1 = cell48
| X2 = cell39
| X2 = cell40
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11015]) ).
fof(11054,plain,
! [X2,X1] :
( ( ~ epred27_2(X1,X2)
| epred26_2(X1,X2)
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) )
& ( ( ~ epred26_2(X1,X2)
& ( X2 != cell41
| X1 != cell51 )
& ( X2 != cell42
| X1 != cell52 )
& ( X2 != cell43
| X1 != cell53 )
& ( X2 != cell44
| X1 != cell54 )
& ( X2 != cell45
| X1 != cell55 ) )
| epred27_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5018]) ).
fof(11055,plain,
! [X3,X4] :
( ( ~ epred27_2(X4,X3)
| epred26_2(X4,X3)
| ( X3 = cell41
& X4 = cell51 )
| ( X3 = cell42
& X4 = cell52 )
| ( X3 = cell43
& X4 = cell53 )
| ( X3 = cell44
& X4 = cell54 )
| ( X3 = cell45
& X4 = cell55 ) )
& ( ( ~ epred26_2(X4,X3)
& ( X3 != cell41
| X4 != cell51 )
& ( X3 != cell42
| X4 != cell52 )
& ( X3 != cell43
| X4 != cell53 )
& ( X3 != cell44
| X4 != cell54 )
& ( X3 != cell45
| X4 != cell55 ) )
| epred27_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11054]) ).
fof(11056,plain,
! [X3,X4] :
( ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X3 = cell41
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X3 = cell42
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X3 = cell43
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X3 = cell44
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X3 = cell45
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( X4 = cell55
| X4 = cell54
| X4 = cell53
| X4 = cell52
| X4 = cell51
| epred26_2(X4,X3)
| ~ epred27_2(X4,X3) )
& ( ~ epred26_2(X4,X3)
| epred27_2(X4,X3) )
& ( X3 != cell41
| X4 != cell51
| epred27_2(X4,X3) )
& ( X3 != cell42
| X4 != cell52
| epred27_2(X4,X3) )
& ( X3 != cell43
| X4 != cell53
| epred27_2(X4,X3) )
& ( X3 != cell44
| X4 != cell54
| epred27_2(X4,X3) )
& ( X3 != cell45
| X4 != cell55
| epred27_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11055]) ).
cnf(11079,plain,
( epred26_2(X1,X2)
| X2 = cell41
| X1 = cell52
| X1 = cell53
| X1 = cell54
| X1 = cell55
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11056]) ).
fof(11095,plain,
! [X2,X1] :
( ( ~ epred28_2(X1,X2)
| epred27_2(X1,X2)
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) )
& ( ( ~ epred27_2(X1,X2)
& ( X2 != cell46
| X1 != cell56 )
& ( X2 != cell47
| X1 != cell57 )
& ( X2 != cell48
| X1 != cell58 )
& ( X2 != cell49
| X1 != cell59 )
& ( X2 != cell50
| X1 != cell60 ) )
| epred28_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5019]) ).
fof(11096,plain,
! [X3,X4] :
( ( ~ epred28_2(X4,X3)
| epred27_2(X4,X3)
| ( X3 = cell46
& X4 = cell56 )
| ( X3 = cell47
& X4 = cell57 )
| ( X3 = cell48
& X4 = cell58 )
| ( X3 = cell49
& X4 = cell59 )
| ( X3 = cell50
& X4 = cell60 ) )
& ( ( ~ epred27_2(X4,X3)
& ( X3 != cell46
| X4 != cell56 )
& ( X3 != cell47
| X4 != cell57 )
& ( X3 != cell48
| X4 != cell58 )
& ( X3 != cell49
| X4 != cell59 )
& ( X3 != cell50
| X4 != cell60 ) )
| epred28_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11095]) ).
fof(11097,plain,
! [X3,X4] :
( ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X3 = cell46
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X3 = cell47
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X3 = cell48
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X3 = cell49
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X3 = cell50
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( X4 = cell60
| X4 = cell59
| X4 = cell58
| X4 = cell57
| X4 = cell56
| epred27_2(X4,X3)
| ~ epred28_2(X4,X3) )
& ( ~ epred27_2(X4,X3)
| epred28_2(X4,X3) )
& ( X3 != cell46
| X4 != cell56
| epred28_2(X4,X3) )
& ( X3 != cell47
| X4 != cell57
| epred28_2(X4,X3) )
& ( X3 != cell48
| X4 != cell58
| epred28_2(X4,X3) )
& ( X3 != cell49
| X4 != cell59
| epred28_2(X4,X3) )
& ( X3 != cell50
| X4 != cell60
| epred28_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11096]) ).
cnf(11117,plain,
( epred27_2(X1,X2)
| X1 = cell56
| X2 = cell47
| X2 = cell48
| X1 = cell59
| X2 = cell50
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11097]) ).
fof(11136,plain,
! [X2,X1] :
( ( ~ epred29_2(X1,X2)
| epred28_2(X1,X2)
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) )
& ( ( ~ epred28_2(X1,X2)
& ( X2 != cell51
| X1 != cell61 )
& ( X2 != cell52
| X1 != cell62 )
& ( X2 != cell53
| X1 != cell63 )
& ( X2 != cell54
| X1 != cell64 )
& ( X2 != cell55
| X1 != cell65 ) )
| epred29_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5020]) ).
fof(11137,plain,
! [X3,X4] :
( ( ~ epred29_2(X4,X3)
| epred28_2(X4,X3)
| ( X3 = cell51
& X4 = cell61 )
| ( X3 = cell52
& X4 = cell62 )
| ( X3 = cell53
& X4 = cell63 )
| ( X3 = cell54
& X4 = cell64 )
| ( X3 = cell55
& X4 = cell65 ) )
& ( ( ~ epred28_2(X4,X3)
& ( X3 != cell51
| X4 != cell61 )
& ( X3 != cell52
| X4 != cell62 )
& ( X3 != cell53
| X4 != cell63 )
& ( X3 != cell54
| X4 != cell64 )
& ( X3 != cell55
| X4 != cell65 ) )
| epred29_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11136]) ).
fof(11138,plain,
! [X3,X4] :
( ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X3 = cell51
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X3 = cell52
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X3 = cell53
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X3 = cell54
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X3 = cell55
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( X4 = cell65
| X4 = cell64
| X4 = cell63
| X4 = cell62
| X4 = cell61
| epred28_2(X4,X3)
| ~ epred29_2(X4,X3) )
& ( ~ epred28_2(X4,X3)
| epred29_2(X4,X3) )
& ( X3 != cell51
| X4 != cell61
| epred29_2(X4,X3) )
& ( X3 != cell52
| X4 != cell62
| epred29_2(X4,X3) )
& ( X3 != cell53
| X4 != cell63
| epred29_2(X4,X3) )
& ( X3 != cell54
| X4 != cell64
| epred29_2(X4,X3) )
& ( X3 != cell55
| X4 != cell65
| epred29_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11137]) ).
cnf(11176,plain,
( epred28_2(X1,X2)
| X2 = cell51
| X2 = cell52
| X2 = cell53
| X2 = cell54
| X2 = cell55
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11138]) ).
fof(11177,plain,
! [X2,X1] :
( ( ~ epred30_2(X1,X2)
| epred29_2(X1,X2)
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) )
& ( ( ~ epred29_2(X1,X2)
& ( X2 != cell56
| X1 != cell66 )
& ( X2 != cell57
| X1 != cell67 )
& ( X2 != cell58
| X1 != cell68 )
& ( X2 != cell59
| X1 != cell69 )
& ( X2 != cell60
| X1 != cell70 ) )
| epred30_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5021]) ).
fof(11178,plain,
! [X3,X4] :
( ( ~ epred30_2(X4,X3)
| epred29_2(X4,X3)
| ( X3 = cell56
& X4 = cell66 )
| ( X3 = cell57
& X4 = cell67 )
| ( X3 = cell58
& X4 = cell68 )
| ( X3 = cell59
& X4 = cell69 )
| ( X3 = cell60
& X4 = cell70 ) )
& ( ( ~ epred29_2(X4,X3)
& ( X3 != cell56
| X4 != cell66 )
& ( X3 != cell57
| X4 != cell67 )
& ( X3 != cell58
| X4 != cell68 )
& ( X3 != cell59
| X4 != cell69 )
& ( X3 != cell60
| X4 != cell70 ) )
| epred30_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11177]) ).
fof(11179,plain,
! [X3,X4] :
( ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X3 = cell56
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X3 = cell57
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X3 = cell58
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X3 = cell59
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X3 = cell60
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( X4 = cell70
| X4 = cell69
| X4 = cell68
| X4 = cell67
| X4 = cell66
| epred29_2(X4,X3)
| ~ epred30_2(X4,X3) )
& ( ~ epred29_2(X4,X3)
| epred30_2(X4,X3) )
& ( X3 != cell56
| X4 != cell66
| epred30_2(X4,X3) )
& ( X3 != cell57
| X4 != cell67
| epred30_2(X4,X3) )
& ( X3 != cell58
| X4 != cell68
| epred30_2(X4,X3) )
& ( X3 != cell59
| X4 != cell69
| epred30_2(X4,X3) )
& ( X3 != cell60
| X4 != cell70
| epred30_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11178]) ).
cnf(11188,plain,
( epred29_2(X1,X2)
| X1 = cell66
| X1 = cell67
| X1 = cell68
| X2 = cell59
| X1 = cell70
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11179]) ).
fof(11218,plain,
! [X2,X1] :
( ( ~ epred31_2(X1,X2)
| epred30_2(X1,X2)
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) )
& ( ( ~ epred30_2(X1,X2)
& ( X2 != cell61
| X1 != cell71 )
& ( X2 != cell62
| X1 != cell72 )
& ( X2 != cell63
| X1 != cell73 )
& ( X2 != cell64
| X1 != cell74 )
& ( X2 != cell65
| X1 != cell75 ) )
| epred31_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5022]) ).
fof(11219,plain,
! [X3,X4] :
( ( ~ epred31_2(X4,X3)
| epred30_2(X4,X3)
| ( X3 = cell61
& X4 = cell71 )
| ( X3 = cell62
& X4 = cell72 )
| ( X3 = cell63
& X4 = cell73 )
| ( X3 = cell64
& X4 = cell74 )
| ( X3 = cell65
& X4 = cell75 ) )
& ( ( ~ epred30_2(X4,X3)
& ( X3 != cell61
| X4 != cell71 )
& ( X3 != cell62
| X4 != cell72 )
& ( X3 != cell63
| X4 != cell73 )
& ( X3 != cell64
| X4 != cell74 )
& ( X3 != cell65
| X4 != cell75 ) )
| epred31_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11218]) ).
fof(11220,plain,
! [X3,X4] :
( ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X3 = cell61
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X3 = cell62
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X3 = cell63
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X3 = cell64
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X3 = cell65
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( X4 = cell75
| X4 = cell74
| X4 = cell73
| X4 = cell72
| X4 = cell71
| epred30_2(X4,X3)
| ~ epred31_2(X4,X3) )
& ( ~ epred30_2(X4,X3)
| epred31_2(X4,X3) )
& ( X3 != cell61
| X4 != cell71
| epred31_2(X4,X3) )
& ( X3 != cell62
| X4 != cell72
| epred31_2(X4,X3) )
& ( X3 != cell63
| X4 != cell73
| epred31_2(X4,X3) )
& ( X3 != cell64
| X4 != cell74
| epred31_2(X4,X3) )
& ( X3 != cell65
| X4 != cell75
| epred31_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11219]) ).
cnf(11239,plain,
( epred30_2(X1,X2)
| X1 = cell71
| X2 = cell62
| X2 = cell63
| X1 = cell74
| X1 = cell75
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11220]) ).
fof(11259,plain,
! [X2,X1] :
( ( ~ epred32_2(X1,X2)
| epred31_2(X1,X2)
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) )
& ( ( ~ epred31_2(X1,X2)
& ( X2 != cell66
| X1 != cell76 )
& ( X2 != cell67
| X1 != cell77 )
& ( X2 != cell68
| X1 != cell78 )
& ( X2 != cell69
| X1 != cell79 )
& ( X2 != cell70
| X1 != cell80 ) )
| epred32_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5023]) ).
fof(11260,plain,
! [X3,X4] :
( ( ~ epred32_2(X4,X3)
| epred31_2(X4,X3)
| ( X3 = cell66
& X4 = cell76 )
| ( X3 = cell67
& X4 = cell77 )
| ( X3 = cell68
& X4 = cell78 )
| ( X3 = cell69
& X4 = cell79 )
| ( X3 = cell70
& X4 = cell80 ) )
& ( ( ~ epred31_2(X4,X3)
& ( X3 != cell66
| X4 != cell76 )
& ( X3 != cell67
| X4 != cell77 )
& ( X3 != cell68
| X4 != cell78 )
& ( X3 != cell69
| X4 != cell79 )
& ( X3 != cell70
| X4 != cell80 ) )
| epred32_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11259]) ).
fof(11261,plain,
! [X3,X4] :
( ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X3 = cell66
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X3 = cell67
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X3 = cell68
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X3 = cell69
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X3 = cell70
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( X4 = cell80
| X4 = cell79
| X4 = cell78
| X4 = cell77
| X4 = cell76
| epred31_2(X4,X3)
| ~ epred32_2(X4,X3) )
& ( ~ epred31_2(X4,X3)
| epred32_2(X4,X3) )
& ( X3 != cell66
| X4 != cell76
| epred32_2(X4,X3) )
& ( X3 != cell67
| X4 != cell77
| epred32_2(X4,X3) )
& ( X3 != cell68
| X4 != cell78
| epred32_2(X4,X3) )
& ( X3 != cell69
| X4 != cell79
| epred32_2(X4,X3) )
& ( X3 != cell70
| X4 != cell80
| epred32_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11260]) ).
cnf(11295,plain,
( epred31_2(X1,X2)
| X2 = cell66
| X2 = cell67
| X1 = cell78
| X2 = cell69
| X2 = cell70
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11261]) ).
fof(11300,plain,
! [X2,X1] :
( ( ~ epred33_2(X1,X2)
| epred32_2(X1,X2)
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) )
& ( ( ~ epred32_2(X1,X2)
& ( X2 != cell71
| X1 != cell81 )
& ( X2 != cell72
| X1 != cell82 )
& ( X2 != cell73
| X1 != cell83 )
& ( X2 != cell74
| X1 != cell84 )
& ( X2 != cell75
| X1 != cell85 ) )
| epred33_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5024]) ).
fof(11301,plain,
! [X3,X4] :
( ( ~ epred33_2(X4,X3)
| epred32_2(X4,X3)
| ( X3 = cell71
& X4 = cell81 )
| ( X3 = cell72
& X4 = cell82 )
| ( X3 = cell73
& X4 = cell83 )
| ( X3 = cell74
& X4 = cell84 )
| ( X3 = cell75
& X4 = cell85 ) )
& ( ( ~ epred32_2(X4,X3)
& ( X3 != cell71
| X4 != cell81 )
& ( X3 != cell72
| X4 != cell82 )
& ( X3 != cell73
| X4 != cell83 )
& ( X3 != cell74
| X4 != cell84 )
& ( X3 != cell75
| X4 != cell85 ) )
| epred33_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11300]) ).
fof(11302,plain,
! [X3,X4] :
( ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X3 = cell71
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X3 = cell72
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X3 = cell73
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X3 = cell74
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X3 = cell75
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( X4 = cell85
| X4 = cell84
| X4 = cell83
| X4 = cell82
| X4 = cell81
| epred32_2(X4,X3)
| ~ epred33_2(X4,X3) )
& ( ~ epred32_2(X4,X3)
| epred33_2(X4,X3) )
& ( X3 != cell71
| X4 != cell81
| epred33_2(X4,X3) )
& ( X3 != cell72
| X4 != cell82
| epred33_2(X4,X3) )
& ( X3 != cell73
| X4 != cell83
| epred33_2(X4,X3) )
& ( X3 != cell74
| X4 != cell84
| epred33_2(X4,X3) )
& ( X3 != cell75
| X4 != cell85
| epred33_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11301]) ).
cnf(11309,plain,
( epred32_2(X1,X2)
| X1 = cell81
| X1 = cell82
| X1 = cell83
| X1 = cell84
| X1 = cell85
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11302]) ).
fof(11341,plain,
! [X2,X1] :
( ( ~ epred34_2(X1,X2)
| epred33_2(X1,X2)
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) )
& ( ( ~ epred33_2(X1,X2)
& ( X2 != cell76
| X1 != cell86 )
& ( X2 != cell77
| X1 != cell87 )
& ( X2 != cell78
| X1 != cell88 )
& ( X2 != cell79
| X1 != cell89 )
& ( X2 != cell80
| X1 != cell90 ) )
| epred34_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5025]) ).
fof(11342,plain,
! [X3,X4] :
( ( ~ epred34_2(X4,X3)
| epred33_2(X4,X3)
| ( X3 = cell76
& X4 = cell86 )
| ( X3 = cell77
& X4 = cell87 )
| ( X3 = cell78
& X4 = cell88 )
| ( X3 = cell79
& X4 = cell89 )
| ( X3 = cell80
& X4 = cell90 ) )
& ( ( ~ epred33_2(X4,X3)
& ( X3 != cell76
| X4 != cell86 )
& ( X3 != cell77
| X4 != cell87 )
& ( X3 != cell78
| X4 != cell88 )
& ( X3 != cell79
| X4 != cell89 )
& ( X3 != cell80
| X4 != cell90 ) )
| epred34_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11341]) ).
fof(11343,plain,
! [X3,X4] :
( ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X3 = cell76
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X3 = cell77
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X3 = cell78
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X3 = cell79
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X3 = cell80
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( X4 = cell90
| X4 = cell89
| X4 = cell88
| X4 = cell87
| X4 = cell86
| epred33_2(X4,X3)
| ~ epred34_2(X4,X3) )
& ( ~ epred33_2(X4,X3)
| epred34_2(X4,X3) )
& ( X3 != cell76
| X4 != cell86
| epred34_2(X4,X3) )
& ( X3 != cell77
| X4 != cell87
| epred34_2(X4,X3) )
& ( X3 != cell78
| X4 != cell88
| epred34_2(X4,X3) )
& ( X3 != cell79
| X4 != cell89
| epred34_2(X4,X3) )
& ( X3 != cell80
| X4 != cell90
| epred34_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11342]) ).
cnf(11362,plain,
( epred33_2(X1,X2)
| X1 = cell86
| X2 = cell77
| X2 = cell78
| X1 = cell89
| X1 = cell90
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11343]) ).
fof(11382,plain,
! [X2,X1] :
( ( ~ epred35_2(X1,X2)
| epred34_2(X1,X2)
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) )
& ( ( ~ epred34_2(X1,X2)
& ( X2 != cell81
| X1 != cell91 )
& ( X2 != cell82
| X1 != cell92 )
& ( X2 != cell83
| X1 != cell93 )
& ( X2 != cell84
| X1 != cell94 )
& ( X2 != cell85
| X1 != cell95 ) )
| epred35_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5026]) ).
fof(11383,plain,
! [X3,X4] :
( ( ~ epred35_2(X4,X3)
| epred34_2(X4,X3)
| ( X3 = cell81
& X4 = cell91 )
| ( X3 = cell82
& X4 = cell92 )
| ( X3 = cell83
& X4 = cell93 )
| ( X3 = cell84
& X4 = cell94 )
| ( X3 = cell85
& X4 = cell95 ) )
& ( ( ~ epred34_2(X4,X3)
& ( X3 != cell81
| X4 != cell91 )
& ( X3 != cell82
| X4 != cell92 )
& ( X3 != cell83
| X4 != cell93 )
& ( X3 != cell84
| X4 != cell94 )
& ( X3 != cell85
| X4 != cell95 ) )
| epred35_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11382]) ).
fof(11384,plain,
! [X3,X4] :
( ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X3 = cell81
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X3 = cell82
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X3 = cell83
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X3 = cell84
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X3 = cell85
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( X4 = cell95
| X4 = cell94
| X4 = cell93
| X4 = cell92
| X4 = cell91
| epred34_2(X4,X3)
| ~ epred35_2(X4,X3) )
& ( ~ epred34_2(X4,X3)
| epred35_2(X4,X3) )
& ( X3 != cell81
| X4 != cell91
| epred35_2(X4,X3) )
& ( X3 != cell82
| X4 != cell92
| epred35_2(X4,X3) )
& ( X3 != cell83
| X4 != cell93
| epred35_2(X4,X3) )
& ( X3 != cell84
| X4 != cell94
| epred35_2(X4,X3) )
& ( X3 != cell85
| X4 != cell95
| epred35_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11383]) ).
cnf(11422,plain,
( epred34_2(X1,X2)
| X2 = cell81
| X2 = cell82
| X2 = cell83
| X2 = cell84
| X2 = cell85
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11384]) ).
fof(11423,plain,
! [X2,X1] :
( ( ~ epred36_2(X1,X2)
| epred35_2(X1,X2)
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) )
& ( ( ~ epred35_2(X1,X2)
& ( X2 != cell86
| X1 != cell96 )
& ( X2 != cell87
| X1 != cell97 )
& ( X2 != cell88
| X1 != cell98 )
& ( X2 != cell89
| X1 != cell99 )
& ( X2 != cell90
| X1 != cell100 ) )
| epred36_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5027]) ).
fof(11424,plain,
! [X3,X4] :
( ( ~ epred36_2(X4,X3)
| epred35_2(X4,X3)
| ( X3 = cell86
& X4 = cell96 )
| ( X3 = cell87
& X4 = cell97 )
| ( X3 = cell88
& X4 = cell98 )
| ( X3 = cell89
& X4 = cell99 )
| ( X3 = cell90
& X4 = cell100 ) )
& ( ( ~ epred35_2(X4,X3)
& ( X3 != cell86
| X4 != cell96 )
& ( X3 != cell87
| X4 != cell97 )
& ( X3 != cell88
| X4 != cell98 )
& ( X3 != cell89
| X4 != cell99 )
& ( X3 != cell90
| X4 != cell100 ) )
| epred36_2(X4,X3) ) ),
inference(variable_rename,[status(thm)],[11423]) ).
fof(11425,plain,
! [X3,X4] :
( ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X3 = cell86
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X3 = cell87
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X3 = cell88
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X3 = cell89
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X3 = cell90
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( X4 = cell100
| X4 = cell99
| X4 = cell98
| X4 = cell97
| X4 = cell96
| epred35_2(X4,X3)
| ~ epred36_2(X4,X3) )
& ( ~ epred35_2(X4,X3)
| epred36_2(X4,X3) )
& ( X3 != cell86
| X4 != cell96
| epred36_2(X4,X3) )
& ( X3 != cell87
| X4 != cell97
| epred36_2(X4,X3) )
& ( X3 != cell88
| X4 != cell98
| epred36_2(X4,X3) )
& ( X3 != cell89
| X4 != cell99
| epred36_2(X4,X3) )
& ( X3 != cell90
| X4 != cell100
| epred36_2(X4,X3) ) ),
inference(distribute,[status(thm)],[11424]) ).
cnf(11462,plain,
( epred35_2(X1,X2)
| X2 = cell86
| X2 = cell87
| X2 = cell88
| X2 = cell89
| X1 = cell100
| ~ epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11425]) ).
cnf(11463,plain,
( epred35_2(X1,X2)
| X2 = cell86
| X2 = cell87
| X2 = cell88
| X2 = cell89
| X2 = cell90
| ~ epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[11425]) ).
cnf(11470,negated_conjecture,
( edge(cell100,cell1)
| edge(cell1,cell100) ),
inference(spm,[status(thm)],[7151,9711,theory(equality)]) ).
cnf(13998,plain,
( cell6 = X1
| cell4 = X1
| cell4 = X2
| cell1 = X2
| cell2 = X2
| cell9 = X2
| cell8 = X1
| cell8 = X2
| cell12 = X1
| cell6 = X2
| ~ epred2_2(X1,X2) ),
inference(spm,[status(thm)],[10023,10060,theory(equality)]) ).
cnf(14014,plain,
( cell6 = X1
| cell4 = X1
| cell4 = X2
| cell2 = X1
| cell2 = X2
| cell9 = X2
| cell8 = X1
| cell8 = X2
| cell12 = X1
| cell6 = X2
| ~ epred2_2(X1,X2) ),
inference(spm,[status(thm)],[10007,10060,theory(equality)]) ).
cnf(19217,negated_conjecture,
( epred36_2(cell100,cell1)
| edge(cell100,cell1) ),
inference(spm,[status(thm)],[7145,11470,theory(equality)]) ).
cnf(19218,negated_conjecture,
( epred36_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(spm,[status(thm)],[7145,19217,theory(equality)]) ).
cnf(19219,negated_conjecture,
( cell87 = cell100
| cell89 = cell100
| cell88 = cell100
| cell100 = cell1
| cell86 = cell100
| epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(spm,[status(thm)],[11462,19218,theory(equality)]) ).
cnf(19251,negated_conjecture,
( cell100 = cell89
| cell100 = cell88
| cell1 = cell100
| cell100 = cell86
| epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(sr,[status(thm)],[19219,7949,theory(equality)]) ).
cnf(19252,negated_conjecture,
( cell100 = cell88
| cell1 = cell100
| cell100 = cell86
| epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(sr,[status(thm)],[19251,6589,theory(equality)]) ).
cnf(19253,negated_conjecture,
( cell1 = cell100
| cell100 = cell86
| epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(sr,[status(thm)],[19252,6546,theory(equality)]) ).
cnf(19254,negated_conjecture,
( cell100 = cell86
| epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(sr,[status(thm)],[19253,8429,theory(equality)]) ).
cnf(19255,negated_conjecture,
( epred35_2(cell1,cell100)
| epred36_2(cell100,cell1) ),
inference(sr,[status(thm)],[19254,5032,theory(equality)]) ).
cnf(19411,negated_conjecture,
( cell87 = cell1
| cell89 = cell1
| cell88 = cell1
| cell90 = cell1
| cell86 = cell1
| epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(spm,[status(thm)],[11463,19255,theory(equality)]) ).
cnf(19427,negated_conjecture,
( cell1 = cell89
| cell1 = cell88
| cell1 = cell90
| cell1 = cell86
| epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(sr,[status(thm)],[19411,9363,theory(equality)]) ).
cnf(19428,negated_conjecture,
( cell1 = cell88
| cell1 = cell90
| cell1 = cell86
| epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(sr,[status(thm)],[19427,6588,theory(equality)]) ).
cnf(19429,negated_conjecture,
( cell1 = cell90
| cell1 = cell86
| epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(sr,[status(thm)],[19428,6545,theory(equality)]) ).
cnf(19430,negated_conjecture,
( cell1 = cell86
| epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(sr,[status(thm)],[19429,7184,theory(equality)]) ).
cnf(19431,negated_conjecture,
( epred35_2(cell100,cell1)
| epred35_2(cell1,cell100) ),
inference(sr,[status(thm)],[19430,5035,theory(equality)]) ).
cnf(19507,negated_conjecture,
( cell82 = cell100
| cell84 = cell100
| cell81 = cell100
| cell83 = cell100
| cell85 = cell100
| epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(spm,[status(thm)],[11422,19431,theory(equality)]) ).
cnf(19539,negated_conjecture,
( cell100 = cell84
| cell100 = cell81
| cell100 = cell83
| cell100 = cell85
| epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(sr,[status(thm)],[19507,9785,theory(equality)]) ).
cnf(19540,negated_conjecture,
( cell100 = cell81
| cell100 = cell83
| cell100 = cell85
| epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(sr,[status(thm)],[19539,9703,theory(equality)]) ).
cnf(19541,negated_conjecture,
( cell100 = cell83
| cell100 = cell85
| epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(sr,[status(thm)],[19540,8745,theory(equality)]) ).
cnf(19542,negated_conjecture,
( cell100 = cell85
| epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(sr,[status(thm)],[19541,8696,theory(equality)]) ).
cnf(19543,negated_conjecture,
( epred34_2(cell1,cell100)
| epred35_2(cell100,cell1) ),
inference(sr,[status(thm)],[19542,7992,theory(equality)]) ).
cnf(19719,negated_conjecture,
( cell82 = cell1
| cell84 = cell1
| cell81 = cell1
| cell83 = cell1
| cell85 = cell1
| epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(spm,[status(thm)],[11422,19543,theory(equality)]) ).
cnf(19751,negated_conjecture,
( cell1 = cell84
| cell1 = cell81
| cell1 = cell83
| cell1 = cell85
| epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(sr,[status(thm)],[19719,9786,theory(equality)]) ).
cnf(19752,negated_conjecture,
( cell1 = cell81
| cell1 = cell83
| cell1 = cell85
| epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(sr,[status(thm)],[19751,9704,theory(equality)]) ).
cnf(19753,negated_conjecture,
( cell1 = cell83
| cell1 = cell85
| epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(sr,[status(thm)],[19752,9075,theory(equality)]) ).
cnf(19754,negated_conjecture,
( cell1 = cell85
| epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(sr,[status(thm)],[19753,8688,theory(equality)]) ).
cnf(19755,negated_conjecture,
( epred34_2(cell100,cell1)
| epred34_2(cell1,cell100) ),
inference(sr,[status(thm)],[19754,7991,theory(equality)]) ).
cnf(19951,negated_conjecture,
( cell77 = cell100
| cell89 = cell1
| cell90 = cell1
| cell78 = cell100
| cell86 = cell1
| epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(spm,[status(thm)],[11362,19755,theory(equality)]) ).
cnf(19983,negated_conjecture,
( cell1 = cell89
| cell1 = cell90
| cell100 = cell78
| cell1 = cell86
| epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(sr,[status(thm)],[19951,5563,theory(equality)]) ).
cnf(19984,negated_conjecture,
( cell1 = cell90
| cell100 = cell78
| cell1 = cell86
| epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(sr,[status(thm)],[19983,6588,theory(equality)]) ).
cnf(19985,negated_conjecture,
( cell100 = cell78
| cell1 = cell86
| epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(sr,[status(thm)],[19984,7184,theory(equality)]) ).
cnf(19986,negated_conjecture,
( cell1 = cell86
| epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(sr,[status(thm)],[19985,6946,theory(equality)]) ).
cnf(19987,negated_conjecture,
( epred33_2(cell1,cell100)
| epred34_2(cell100,cell1) ),
inference(sr,[status(thm)],[19986,5035,theory(equality)]) ).
cnf(20183,negated_conjecture,
( cell77 = cell1
| cell89 = cell100
| cell90 = cell100
| cell78 = cell1
| cell86 = cell100
| epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(spm,[status(thm)],[11362,19987,theory(equality)]) ).
cnf(20215,negated_conjecture,
( cell100 = cell89
| cell100 = cell90
| cell1 = cell78
| cell100 = cell86
| epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(sr,[status(thm)],[20183,5562,theory(equality)]) ).
cnf(20216,negated_conjecture,
( cell100 = cell90
| cell1 = cell78
| cell100 = cell86
| epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(sr,[status(thm)],[20215,6589,theory(equality)]) ).
cnf(20217,negated_conjecture,
( cell1 = cell78
| cell100 = cell86
| epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(sr,[status(thm)],[20216,7187,theory(equality)]) ).
cnf(20218,negated_conjecture,
( cell100 = cell86
| epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(sr,[status(thm)],[20217,6477,theory(equality)]) ).
cnf(20219,negated_conjecture,
( epred33_2(cell100,cell1)
| epred33_2(cell1,cell100) ),
inference(sr,[status(thm)],[20218,5032,theory(equality)]) ).
cnf(20415,negated_conjecture,
( cell82 = cell1
| cell84 = cell1
| cell81 = cell1
| cell83 = cell1
| cell85 = cell1
| epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(spm,[status(thm)],[11309,20219,theory(equality)]) ).
cnf(20447,negated_conjecture,
( cell1 = cell84
| cell1 = cell81
| cell1 = cell83
| cell1 = cell85
| epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(sr,[status(thm)],[20415,9786,theory(equality)]) ).
cnf(20448,negated_conjecture,
( cell1 = cell81
| cell1 = cell83
| cell1 = cell85
| epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(sr,[status(thm)],[20447,9704,theory(equality)]) ).
cnf(20449,negated_conjecture,
( cell1 = cell83
| cell1 = cell85
| epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(sr,[status(thm)],[20448,9075,theory(equality)]) ).
cnf(20450,negated_conjecture,
( cell1 = cell85
| epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(sr,[status(thm)],[20449,8688,theory(equality)]) ).
cnf(20451,negated_conjecture,
( epred32_2(cell1,cell100)
| epred33_2(cell100,cell1) ),
inference(sr,[status(thm)],[20450,7991,theory(equality)]) ).
cnf(20647,negated_conjecture,
( cell82 = cell100
| cell84 = cell100
| cell81 = cell100
| cell83 = cell100
| cell85 = cell100
| epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(spm,[status(thm)],[11309,20451,theory(equality)]) ).
cnf(20679,negated_conjecture,
( cell100 = cell84
| cell100 = cell81
| cell100 = cell83
| cell100 = cell85
| epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(sr,[status(thm)],[20647,9785,theory(equality)]) ).
cnf(20680,negated_conjecture,
( cell100 = cell81
| cell100 = cell83
| cell100 = cell85
| epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(sr,[status(thm)],[20679,9703,theory(equality)]) ).
cnf(20681,negated_conjecture,
( cell100 = cell83
| cell100 = cell85
| epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(sr,[status(thm)],[20680,8745,theory(equality)]) ).
cnf(20682,negated_conjecture,
( cell100 = cell85
| epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(sr,[status(thm)],[20681,8696,theory(equality)]) ).
cnf(20683,negated_conjecture,
( epred32_2(cell100,cell1)
| epred32_2(cell1,cell100) ),
inference(sr,[status(thm)],[20682,7992,theory(equality)]) ).
cnf(20879,negated_conjecture,
( cell70 = cell100
| cell69 = cell100
| cell67 = cell100
| cell78 = cell1
| cell66 = cell100
| epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(spm,[status(thm)],[11295,20683,theory(equality)]) ).
cnf(20911,negated_conjecture,
( cell100 = cell69
| cell100 = cell67
| cell1 = cell78
| cell100 = cell66
| epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(sr,[status(thm)],[20879,5622,theory(equality)]) ).
cnf(20912,negated_conjecture,
( cell100 = cell67
| cell1 = cell78
| cell100 = cell66
| epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(sr,[status(thm)],[20911,7097,theory(equality)]) ).
cnf(20913,negated_conjecture,
( cell1 = cell78
| cell100 = cell66
| epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(sr,[status(thm)],[20912,5861,theory(equality)]) ).
cnf(20914,negated_conjecture,
( cell100 = cell66
| epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(sr,[status(thm)],[20913,6477,theory(equality)]) ).
cnf(20915,negated_conjecture,
( epred31_2(cell1,cell100)
| epred32_2(cell100,cell1) ),
inference(sr,[status(thm)],[20914,7396,theory(equality)]) ).
cnf(21111,negated_conjecture,
( cell70 = cell1
| cell69 = cell1
| cell67 = cell1
| cell78 = cell100
| cell66 = cell1
| epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(spm,[status(thm)],[11295,20915,theory(equality)]) ).
cnf(21143,negated_conjecture,
( cell1 = cell69
| cell1 = cell67
| cell100 = cell78
| cell1 = cell66
| epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(sr,[status(thm)],[21111,5621,theory(equality)]) ).
cnf(21144,negated_conjecture,
( cell1 = cell67
| cell100 = cell78
| cell1 = cell66
| epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(sr,[status(thm)],[21143,6624,theory(equality)]) ).
cnf(21145,negated_conjecture,
( cell100 = cell78
| cell1 = cell66
| epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(sr,[status(thm)],[21144,9859,theory(equality)]) ).
cnf(21146,negated_conjecture,
( cell1 = cell66
| epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(sr,[status(thm)],[21145,6946,theory(equality)]) ).
cnf(21147,negated_conjecture,
( epred31_2(cell100,cell1)
| epred31_2(cell1,cell100) ),
inference(sr,[status(thm)],[21146,7397,theory(equality)]) ).
cnf(21343,negated_conjecture,
( cell71 = cell1
| cell75 = cell1
| cell74 = cell1
| cell63 = cell100
| cell62 = cell100
| epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(spm,[status(thm)],[11239,21147,theory(equality)]) ).
cnf(21375,negated_conjecture,
( cell1 = cell75
| cell1 = cell74
| cell100 = cell63
| cell100 = cell62
| epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(sr,[status(thm)],[21343,5549,theory(equality)]) ).
cnf(21376,negated_conjecture,
( cell1 = cell74
| cell100 = cell63
| cell100 = cell62
| epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(sr,[status(thm)],[21375,7632,theory(equality)]) ).
cnf(21377,negated_conjecture,
( cell100 = cell63
| cell100 = cell62
| epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(sr,[status(thm)],[21376,7718,theory(equality)]) ).
cnf(21378,negated_conjecture,
( cell100 = cell62
| epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(sr,[status(thm)],[21377,6880,theory(equality)]) ).
cnf(21379,negated_conjecture,
( epred30_2(cell1,cell100)
| epred31_2(cell100,cell1) ),
inference(sr,[status(thm)],[21378,5572,theory(equality)]) ).
cnf(21575,negated_conjecture,
( cell71 = cell100
| cell75 = cell100
| cell74 = cell100
| cell63 = cell1
| cell62 = cell1
| epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(spm,[status(thm)],[11239,21379,theory(equality)]) ).
cnf(21607,negated_conjecture,
( cell100 = cell75
| cell100 = cell74
| cell1 = cell63
| cell1 = cell62
| epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(sr,[status(thm)],[21575,5550,theory(equality)]) ).
cnf(21608,negated_conjecture,
( cell100 = cell74
| cell1 = cell63
| cell1 = cell62
| epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(sr,[status(thm)],[21607,7633,theory(equality)]) ).
cnf(21609,negated_conjecture,
( cell1 = cell63
| cell1 = cell62
| epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(sr,[status(thm)],[21608,9469,theory(equality)]) ).
cnf(21610,negated_conjecture,
( cell1 = cell62
| epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(sr,[status(thm)],[21609,5943,theory(equality)]) ).
cnf(21611,negated_conjecture,
( epred30_2(cell100,cell1)
| epred30_2(cell1,cell100) ),
inference(sr,[status(thm)],[21610,7161,theory(equality)]) ).
cnf(21807,negated_conjecture,
( cell70 = cell1
| cell68 = cell1
| cell67 = cell1
| cell59 = cell100
| cell66 = cell1
| epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(spm,[status(thm)],[11188,21611,theory(equality)]) ).
cnf(21839,negated_conjecture,
( cell1 = cell68
| cell1 = cell67
| cell100 = cell59
| cell1 = cell66
| epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(sr,[status(thm)],[21807,5621,theory(equality)]) ).
cnf(21840,negated_conjecture,
( cell1 = cell67
| cell100 = cell59
| cell1 = cell66
| epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(sr,[status(thm)],[21839,8793,theory(equality)]) ).
cnf(21841,negated_conjecture,
( cell100 = cell59
| cell1 = cell66
| epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(sr,[status(thm)],[21840,9859,theory(equality)]) ).
cnf(21842,negated_conjecture,
( cell1 = cell66
| epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(sr,[status(thm)],[21841,6308,theory(equality)]) ).
cnf(21843,negated_conjecture,
( epred29_2(cell1,cell100)
| epred30_2(cell100,cell1) ),
inference(sr,[status(thm)],[21842,7397,theory(equality)]) ).
cnf(22039,negated_conjecture,
( cell70 = cell100
| cell68 = cell100
| cell67 = cell100
| cell59 = cell1
| cell66 = cell100
| epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(spm,[status(thm)],[11188,21843,theory(equality)]) ).
cnf(22071,negated_conjecture,
( cell100 = cell68
| cell100 = cell67
| cell1 = cell59
| cell100 = cell66
| epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(sr,[status(thm)],[22039,5622,theory(equality)]) ).
cnf(22072,negated_conjecture,
( cell100 = cell67
| cell1 = cell59
| cell100 = cell66
| epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(sr,[status(thm)],[22071,8792,theory(equality)]) ).
cnf(22073,negated_conjecture,
( cell1 = cell59
| cell100 = cell66
| epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(sr,[status(thm)],[22072,5861,theory(equality)]) ).
cnf(22074,negated_conjecture,
( cell100 = cell66
| epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(sr,[status(thm)],[22073,6662,theory(equality)]) ).
cnf(22075,negated_conjecture,
( epred29_2(cell100,cell1)
| epred29_2(cell1,cell100) ),
inference(sr,[status(thm)],[22074,7396,theory(equality)]) ).
cnf(22271,negated_conjecture,
( cell51 = cell100
| cell54 = cell100
| cell55 = cell100
| cell52 = cell100
| cell53 = cell100
| epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(spm,[status(thm)],[11176,22075,theory(equality)]) ).
cnf(22303,negated_conjecture,
( cell100 = cell54
| cell100 = cell55
| cell100 = cell52
| cell100 = cell53
| epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(sr,[status(thm)],[22271,9163,theory(equality)]) ).
cnf(22304,negated_conjecture,
( cell100 = cell55
| cell100 = cell52
| cell100 = cell53
| epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(sr,[status(thm)],[22303,6168,theory(equality)]) ).
cnf(22305,negated_conjecture,
( cell100 = cell52
| cell100 = cell53
| epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(sr,[status(thm)],[22304,9550,theory(equality)]) ).
cnf(22306,negated_conjecture,
( cell100 = cell53
| epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(sr,[status(thm)],[22305,7084,theory(equality)]) ).
cnf(22307,negated_conjecture,
( epred28_2(cell1,cell100)
| epred29_2(cell100,cell1) ),
inference(sr,[status(thm)],[22306,7513,theory(equality)]) ).
cnf(22503,negated_conjecture,
( cell51 = cell1
| cell54 = cell1
| cell55 = cell1
| cell52 = cell1
| cell53 = cell1
| epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(spm,[status(thm)],[11176,22307,theory(equality)]) ).
cnf(22535,negated_conjecture,
( cell1 = cell54
| cell1 = cell55
| cell1 = cell52
| cell1 = cell53
| epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(sr,[status(thm)],[22503,9166,theory(equality)]) ).
cnf(22536,negated_conjecture,
( cell1 = cell55
| cell1 = cell52
| cell1 = cell53
| epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(sr,[status(thm)],[22535,7986,theory(equality)]) ).
cnf(22537,negated_conjecture,
( cell1 = cell52
| cell1 = cell53
| epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(sr,[status(thm)],[22536,5040,theory(equality)]) ).
cnf(22538,negated_conjecture,
( cell1 = cell53
| epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(sr,[status(thm)],[22537,5449,theory(equality)]) ).
cnf(22539,negated_conjecture,
( epred28_2(cell100,cell1)
| epred28_2(cell1,cell100) ),
inference(sr,[status(thm)],[22538,7526,theory(equality)]) ).
cnf(22735,negated_conjecture,
( cell48 = cell100
| cell47 = cell100
| cell50 = cell100
| cell56 = cell1
| cell59 = cell1
| epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(spm,[status(thm)],[11117,22539,theory(equality)]) ).
cnf(22767,negated_conjecture,
( cell100 = cell47
| cell100 = cell50
| cell1 = cell56
| cell1 = cell59
| epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(sr,[status(thm)],[22735,6855,theory(equality)]) ).
cnf(22768,negated_conjecture,
( cell100 = cell50
| cell1 = cell56
| cell1 = cell59
| epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(sr,[status(thm)],[22767,7129,theory(equality)]) ).
cnf(22769,negated_conjecture,
( cell1 = cell56
| cell1 = cell59
| epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(sr,[status(thm)],[22768,6007,theory(equality)]) ).
cnf(22770,negated_conjecture,
( cell1 = cell59
| epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(sr,[status(thm)],[22769,5615,theory(equality)]) ).
cnf(22771,negated_conjecture,
( epred27_2(cell1,cell100)
| epred28_2(cell100,cell1) ),
inference(sr,[status(thm)],[22770,6662,theory(equality)]) ).
cnf(22967,negated_conjecture,
( cell48 = cell1
| cell47 = cell1
| cell50 = cell1
| cell56 = cell100
| cell59 = cell100
| epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(spm,[status(thm)],[11117,22771,theory(equality)]) ).
cnf(22999,negated_conjecture,
( cell1 = cell47
| cell1 = cell50
| cell100 = cell56
| cell100 = cell59
| epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(sr,[status(thm)],[22967,6856,theory(equality)]) ).
cnf(23000,negated_conjecture,
( cell1 = cell50
| cell100 = cell56
| cell100 = cell59
| epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(sr,[status(thm)],[22999,8227,theory(equality)]) ).
cnf(23001,negated_conjecture,
( cell100 = cell56
| cell100 = cell59
| epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(sr,[status(thm)],[23000,6227,theory(equality)]) ).
cnf(23002,negated_conjecture,
( cell100 = cell59
| epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(sr,[status(thm)],[23001,7033,theory(equality)]) ).
cnf(23003,negated_conjecture,
( epred27_2(cell100,cell1)
| epred27_2(cell1,cell100) ),
inference(sr,[status(thm)],[23002,6308,theory(equality)]) ).
cnf(23199,negated_conjecture,
( cell54 = cell1
| cell41 = cell100
| cell55 = cell1
| cell52 = cell1
| cell53 = cell1
| epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(spm,[status(thm)],[11079,23003,theory(equality)]) ).
cnf(23231,negated_conjecture,
( cell100 = cell41
| cell1 = cell55
| cell1 = cell52
| cell1 = cell53
| epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(sr,[status(thm)],[23199,7986,theory(equality)]) ).
cnf(23232,negated_conjecture,
( cell1 = cell55
| cell1 = cell52
| cell1 = cell53
| epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(sr,[status(thm)],[23231,8819,theory(equality)]) ).
cnf(23233,negated_conjecture,
( cell1 = cell52
| cell1 = cell53
| epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(sr,[status(thm)],[23232,5040,theory(equality)]) ).
cnf(23234,negated_conjecture,
( cell1 = cell53
| epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(sr,[status(thm)],[23233,5449,theory(equality)]) ).
cnf(23235,negated_conjecture,
( epred26_2(cell1,cell100)
| epred27_2(cell100,cell1) ),
inference(sr,[status(thm)],[23234,7526,theory(equality)]) ).
cnf(23431,negated_conjecture,
( cell54 = cell100
| cell41 = cell1
| cell55 = cell100
| cell52 = cell100
| cell53 = cell100
| epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(spm,[status(thm)],[11079,23235,theory(equality)]) ).
cnf(23463,negated_conjecture,
( cell1 = cell41
| cell100 = cell55
| cell100 = cell52
| cell100 = cell53
| epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(sr,[status(thm)],[23431,6168,theory(equality)]) ).
cnf(23464,negated_conjecture,
( cell100 = cell55
| cell100 = cell52
| cell100 = cell53
| epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(sr,[status(thm)],[23463,7087,theory(equality)]) ).
cnf(23465,negated_conjecture,
( cell100 = cell52
| cell100 = cell53
| epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(sr,[status(thm)],[23464,9550,theory(equality)]) ).
cnf(23466,negated_conjecture,
( cell100 = cell53
| epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(sr,[status(thm)],[23465,7084,theory(equality)]) ).
cnf(23467,negated_conjecture,
( epred26_2(cell100,cell1)
| epred26_2(cell1,cell100) ),
inference(sr,[status(thm)],[23466,7513,theory(equality)]) ).
cnf(23663,negated_conjecture,
( cell48 = cell1
| cell46 = cell1
| cell47 = cell1
| cell40 = cell100
| cell39 = cell100
| epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(spm,[status(thm)],[11025,23467,theory(equality)]) ).
cnf(23695,negated_conjecture,
( cell1 = cell46
| cell1 = cell47
| cell100 = cell40
| cell100 = cell39
| epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(sr,[status(thm)],[23663,6856,theory(equality)]) ).
cnf(23696,negated_conjecture,
( cell1 = cell47
| cell100 = cell40
| cell100 = cell39
| epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(sr,[status(thm)],[23695,5294,theory(equality)]) ).
cnf(23697,negated_conjecture,
( cell100 = cell40
| cell100 = cell39
| epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(sr,[status(thm)],[23696,8227,theory(equality)]) ).
cnf(23698,negated_conjecture,
( cell100 = cell39
| epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(sr,[status(thm)],[23697,9845,theory(equality)]) ).
cnf(23699,negated_conjecture,
( epred25_2(cell1,cell100)
| epred26_2(cell100,cell1) ),
inference(sr,[status(thm)],[23698,7855,theory(equality)]) ).
cnf(23895,negated_conjecture,
( cell48 = cell100
| cell46 = cell100
| cell47 = cell100
| cell40 = cell1
| cell39 = cell1
| epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(spm,[status(thm)],[11025,23699,theory(equality)]) ).
cnf(23927,negated_conjecture,
( cell100 = cell46
| cell100 = cell47
| cell1 = cell40
| cell1 = cell39
| epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(sr,[status(thm)],[23895,6855,theory(equality)]) ).
cnf(23928,negated_conjecture,
( cell100 = cell47
| cell1 = cell40
| cell1 = cell39
| epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(sr,[status(thm)],[23927,7546,theory(equality)]) ).
cnf(23929,negated_conjecture,
( cell1 = cell40
| cell1 = cell39
| epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(sr,[status(thm)],[23928,7129,theory(equality)]) ).
cnf(23930,negated_conjecture,
( cell1 = cell39
| epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(sr,[status(thm)],[23929,9844,theory(equality)]) ).
cnf(23931,negated_conjecture,
( epred25_2(cell100,cell1)
| epred25_2(cell1,cell100) ),
inference(sr,[status(thm)],[23930,8090,theory(equality)]) ).
cnf(24127,negated_conjecture,
( cell44 = cell1
| cell45 = cell1
| cell32 = cell100
| cell33 = cell100
| cell41 = cell1
| epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(spm,[status(thm)],[10993,23931,theory(equality)]) ).
cnf(24159,negated_conjecture,
( cell1 = cell45
| cell100 = cell32
| cell100 = cell33
| cell1 = cell41
| epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(sr,[status(thm)],[24127,9162,theory(equality)]) ).
cnf(24160,negated_conjecture,
( cell100 = cell32
| cell100 = cell33
| cell1 = cell41
| epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(sr,[status(thm)],[24159,9564,theory(equality)]) ).
cnf(24161,negated_conjecture,
( cell100 = cell33
| cell1 = cell41
| epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(sr,[status(thm)],[24160,8754,theory(equality)]) ).
cnf(24162,negated_conjecture,
( cell1 = cell41
| epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(sr,[status(thm)],[24161,8954,theory(equality)]) ).
cnf(24163,negated_conjecture,
( epred24_2(cell1,cell100)
| epred25_2(cell100,cell1) ),
inference(sr,[status(thm)],[24162,7087,theory(equality)]) ).
cnf(24359,negated_conjecture,
( cell44 = cell100
| cell45 = cell100
| cell32 = cell1
| cell33 = cell1
| cell41 = cell100
| epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(spm,[status(thm)],[10993,24163,theory(equality)]) ).
cnf(24391,negated_conjecture,
( cell100 = cell45
| cell1 = cell32
| cell1 = cell33
| cell100 = cell41
| epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(sr,[status(thm)],[24359,9164,theory(equality)]) ).
cnf(24392,negated_conjecture,
( cell1 = cell32
| cell1 = cell33
| cell100 = cell41
| epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(sr,[status(thm)],[24391,5293,theory(equality)]) ).
cnf(24393,negated_conjecture,
( cell1 = cell33
| cell100 = cell41
| epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(sr,[status(thm)],[24392,6067,theory(equality)]) ).
cnf(24394,negated_conjecture,
( cell100 = cell41
| epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(sr,[status(thm)],[24393,8953,theory(equality)]) ).
cnf(24395,negated_conjecture,
( epred24_2(cell100,cell1)
| epred24_2(cell1,cell100) ),
inference(sr,[status(thm)],[24394,8819,theory(equality)]) ).
cnf(24591,negated_conjecture,
( cell37 = cell1
| cell36 = cell1
| cell38 = cell1
| cell40 = cell1
| cell39 = cell1
| epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(spm,[status(thm)],[10940,24395,theory(equality)]) ).
cnf(24623,negated_conjecture,
( cell1 = cell36
| cell1 = cell38
| cell1 = cell40
| cell1 = cell39
| epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(sr,[status(thm)],[24591,7528,theory(equality)]) ).
cnf(24624,negated_conjecture,
( cell1 = cell38
| cell1 = cell40
| cell1 = cell39
| epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(sr,[status(thm)],[24623,7105,theory(equality)]) ).
cnf(24625,negated_conjecture,
( cell1 = cell40
| cell1 = cell39
| epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(sr,[status(thm)],[24624,8113,theory(equality)]) ).
cnf(24626,negated_conjecture,
( cell1 = cell39
| epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(sr,[status(thm)],[24625,9844,theory(equality)]) ).
cnf(24627,negated_conjecture,
( epred23_2(cell1,cell100)
| epred24_2(cell100,cell1) ),
inference(sr,[status(thm)],[24626,8090,theory(equality)]) ).
cnf(24823,negated_conjecture,
( cell37 = cell100
| cell36 = cell100
| cell38 = cell100
| cell40 = cell100
| cell39 = cell100
| epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(spm,[status(thm)],[10940,24627,theory(equality)]) ).
cnf(24855,negated_conjecture,
( cell100 = cell36
| cell100 = cell38
| cell100 = cell40
| cell100 = cell39
| epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(sr,[status(thm)],[24823,7529,theory(equality)]) ).
cnf(24856,negated_conjecture,
( cell100 = cell38
| cell100 = cell40
| cell100 = cell39
| epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(sr,[status(thm)],[24855,7104,theory(equality)]) ).
cnf(24857,negated_conjecture,
( cell100 = cell40
| cell100 = cell39
| epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(sr,[status(thm)],[24856,8214,theory(equality)]) ).
cnf(24858,negated_conjecture,
( cell100 = cell39
| epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(sr,[status(thm)],[24857,9845,theory(equality)]) ).
cnf(24859,negated_conjecture,
( epred23_2(cell100,cell1)
| epred23_2(cell1,cell100) ),
inference(sr,[status(thm)],[24858,7855,theory(equality)]) ).
cnf(25055,negated_conjecture,
( cell34 = cell1
| cell35 = cell1
| cell32 = cell1
| cell21 = cell100
| cell33 = cell1
| epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(spm,[status(thm)],[10915,24859,theory(equality)]) ).
cnf(25087,negated_conjecture,
( cell1 = cell35
| cell1 = cell32
| cell100 = cell21
| cell1 = cell33
| epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(sr,[status(thm)],[25055,9925,theory(equality)]) ).
cnf(25088,negated_conjecture,
( cell1 = cell32
| cell100 = cell21
| cell1 = cell33
| epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(sr,[status(thm)],[25087,6040,theory(equality)]) ).
cnf(25089,negated_conjecture,
( cell100 = cell21
| cell1 = cell33
| epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(sr,[status(thm)],[25088,6067,theory(equality)]) ).
cnf(25090,negated_conjecture,
( cell1 = cell33
| epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(sr,[status(thm)],[25089,8159,theory(equality)]) ).
cnf(25091,negated_conjecture,
( epred22_2(cell1,cell100)
| epred23_2(cell100,cell1) ),
inference(sr,[status(thm)],[25090,8953,theory(equality)]) ).
cnf(25287,negated_conjecture,
( cell34 = cell100
| cell35 = cell100
| cell32 = cell100
| cell21 = cell1
| cell33 = cell100
| epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(spm,[status(thm)],[10915,25091,theory(equality)]) ).
cnf(25319,negated_conjecture,
( cell100 = cell35
| cell100 = cell32
| cell1 = cell21
| cell100 = cell33
| epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(sr,[status(thm)],[25287,7258,theory(equality)]) ).
cnf(25320,negated_conjecture,
( cell100 = cell32
| cell1 = cell21
| cell100 = cell33
| epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(sr,[status(thm)],[25319,9833,theory(equality)]) ).
cnf(25321,negated_conjecture,
( cell1 = cell21
| cell100 = cell33
| epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(sr,[status(thm)],[25320,8754,theory(equality)]) ).
cnf(25322,negated_conjecture,
( cell100 = cell33
| epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(sr,[status(thm)],[25321,7542,theory(equality)]) ).
cnf(25323,negated_conjecture,
( epred22_2(cell100,cell1)
| epred22_2(cell1,cell100) ),
inference(sr,[status(thm)],[25322,8954,theory(equality)]) ).
cnf(25519,negated_conjecture,
( cell16 = cell100
| cell18 = cell100
| cell17 = cell100
| cell19 = cell100
| cell20 = cell100
| epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(spm,[status(thm)],[10889,25323,theory(equality)]) ).
cnf(25551,negated_conjecture,
( cell100 = cell18
| cell100 = cell17
| cell100 = cell19
| cell100 = cell20
| epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(sr,[status(thm)],[25519,9389,theory(equality)]) ).
cnf(25552,negated_conjecture,
( cell100 = cell17
| cell100 = cell19
| cell100 = cell20
| epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(sr,[status(thm)],[25551,6818,theory(equality)]) ).
cnf(25553,negated_conjecture,
( cell100 = cell19
| cell100 = cell20
| epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(sr,[status(thm)],[25552,6594,theory(equality)]) ).
cnf(25554,negated_conjecture,
( cell100 = cell20
| epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(sr,[status(thm)],[25553,5245,theory(equality)]) ).
cnf(25555,negated_conjecture,
( epred21_2(cell1,cell100)
| epred22_2(cell100,cell1) ),
inference(sr,[status(thm)],[25554,5216,theory(equality)]) ).
cnf(25751,negated_conjecture,
( cell16 = cell1
| cell18 = cell1
| cell17 = cell1
| cell19 = cell1
| cell20 = cell1
| epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(spm,[status(thm)],[10889,25555,theory(equality)]) ).
cnf(25783,negated_conjecture,
( cell1 = cell18
| cell1 = cell17
| cell1 = cell19
| cell1 = cell20
| epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(sr,[status(thm)],[25751,5574,theory(equality)]) ).
cnf(25784,negated_conjecture,
( cell1 = cell17
| cell1 = cell19
| cell1 = cell20
| epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(sr,[status(thm)],[25783,9146,theory(equality)]) ).
cnf(25785,negated_conjecture,
( cell1 = cell19
| cell1 = cell20
| epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(sr,[status(thm)],[25784,6595,theory(equality)]) ).
cnf(25786,negated_conjecture,
( cell1 = cell20
| epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(sr,[status(thm)],[25785,9547,theory(equality)]) ).
cnf(25787,negated_conjecture,
( epred21_2(cell100,cell1)
| epred21_2(cell1,cell100) ),
inference(sr,[status(thm)],[25786,6356,theory(equality)]) ).
cnf(25983,negated_conjecture,
( cell15 = cell100
| cell11 = cell100
| cell13 = cell100
| cell14 = cell100
| cell12 = cell100
| epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(spm,[status(thm)],[10848,25787,theory(equality)]) ).
cnf(26015,negated_conjecture,
( cell100 = cell11
| cell100 = cell13
| cell100 = cell14
| cell100 = cell12
| epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(sr,[status(thm)],[25983,5219,theory(equality)]) ).
cnf(26016,negated_conjecture,
( cell100 = cell13
| cell100 = cell14
| cell100 = cell12
| epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(sr,[status(thm)],[26015,7752,theory(equality)]) ).
cnf(26017,negated_conjecture,
( cell100 = cell14
| cell100 = cell12
| epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(sr,[status(thm)],[26016,7414,theory(equality)]) ).
cnf(26018,negated_conjecture,
( cell100 = cell12
| epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(sr,[status(thm)],[26017,9892,theory(equality)]) ).
cnf(26019,negated_conjecture,
( epred20_2(cell1,cell100)
| epred21_2(cell100,cell1) ),
inference(sr,[status(thm)],[26018,8117,theory(equality)]) ).
cnf(26215,negated_conjecture,
( cell15 = cell1
| cell11 = cell1
| cell13 = cell1
| cell14 = cell1
| cell12 = cell1
| epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(spm,[status(thm)],[10848,26019,theory(equality)]) ).
cnf(26247,negated_conjecture,
( cell1 = cell11
| cell1 = cell13
| cell1 = cell14
| cell1 = cell12
| epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(sr,[status(thm)],[26215,6985,theory(equality)]) ).
cnf(26248,negated_conjecture,
( cell1 = cell13
| cell1 = cell14
| cell1 = cell12
| epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(sr,[status(thm)],[26247,7751,theory(equality)]) ).
cnf(26249,negated_conjecture,
( cell1 = cell14
| cell1 = cell12
| epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(sr,[status(thm)],[26248,7415,theory(equality)]) ).
cnf(26250,negated_conjecture,
( cell1 = cell12
| epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(sr,[status(thm)],[26249,6011,theory(equality)]) ).
cnf(26251,negated_conjecture,
( epred20_2(cell100,cell1)
| epred20_2(cell1,cell100) ),
inference(sr,[status(thm)],[26250,7824,theory(equality)]) ).
cnf(26447,negated_conjecture,
( cell17 = cell1
| cell8 = cell100
| cell19 = cell1
| cell20 = cell1
| cell6 = cell100
| epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(spm,[status(thm)],[10796,26251,theory(equality)]) ).
cnf(26479,negated_conjecture,
( cell100 = cell8
| cell1 = cell19
| cell1 = cell20
| cell100 = cell6
| epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(sr,[status(thm)],[26447,6595,theory(equality)]) ).
cnf(26480,negated_conjecture,
( cell1 = cell19
| cell1 = cell20
| cell100 = cell6
| epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(sr,[status(thm)],[26479,6414,theory(equality)]) ).
cnf(26481,negated_conjecture,
( cell1 = cell20
| cell100 = cell6
| epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(sr,[status(thm)],[26480,9547,theory(equality)]) ).
cnf(26482,negated_conjecture,
( cell100 = cell6
| epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(sr,[status(thm)],[26481,6356,theory(equality)]) ).
cnf(26483,negated_conjecture,
( epred19_2(cell1,cell100)
| epred20_2(cell100,cell1) ),
inference(sr,[status(thm)],[26482,9856,theory(equality)]) ).
cnf(26679,negated_conjecture,
( cell17 = cell100
| cell8 = cell1
| cell19 = cell100
| cell20 = cell100
| cell6 = cell1
| epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(spm,[status(thm)],[10796,26483,theory(equality)]) ).
cnf(26711,negated_conjecture,
( cell1 = cell8
| cell100 = cell19
| cell100 = cell20
| cell1 = cell6
| epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(sr,[status(thm)],[26679,6594,theory(equality)]) ).
cnf(26712,negated_conjecture,
( cell100 = cell19
| cell100 = cell20
| cell1 = cell6
| epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(sr,[status(thm)],[26711,7072,theory(equality)]) ).
cnf(26713,negated_conjecture,
( cell100 = cell20
| cell1 = cell6
| epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(sr,[status(thm)],[26712,5245,theory(equality)]) ).
cnf(26714,negated_conjecture,
( cell1 = cell6
| epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(sr,[status(thm)],[26713,5216,theory(equality)]) ).
cnf(26715,negated_conjecture,
( epred19_2(cell100,cell1)
| epred19_2(cell1,cell100) ),
inference(sr,[status(thm)],[26714,6986,theory(equality)]) ).
cnf(26911,negated_conjecture,
( cell5 = cell100
| cell3 = cell100
| cell4 = cell100
| cell1 = cell100
| cell2 = cell100
| epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(spm,[status(thm)],[10766,26715,theory(equality)]) ).
cnf(26943,negated_conjecture,
( cell100 = cell3
| cell100 = cell4
| cell1 = cell100
| cell100 = cell2
| epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(sr,[status(thm)],[26911,7442,theory(equality)]) ).
cnf(26944,negated_conjecture,
( cell100 = cell4
| cell1 = cell100
| cell100 = cell2
| epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(sr,[status(thm)],[26943,5641,theory(equality)]) ).
cnf(26945,negated_conjecture,
( cell1 = cell100
| cell100 = cell2
| epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(sr,[status(thm)],[26944,6633,theory(equality)]) ).
cnf(26946,negated_conjecture,
( cell100 = cell2
| epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(sr,[status(thm)],[26945,8429,theory(equality)]) ).
cnf(26947,negated_conjecture,
( epred18_2(cell1,cell100)
| epred19_2(cell100,cell1) ),
inference(sr,[status(thm)],[26946,8425,theory(equality)]) ).
cnf(27143,negated_conjecture,
( cell11 = cell100
| cell5 = cell1
| cell3 = cell1
| cell4 = cell1
| cell2 = cell1
| epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(spm,[status(thm)],[10750,26947,theory(equality)]) ).
cnf(27159,negated_conjecture,
( cell1 = cell5
| cell1 = cell3
| cell1 = cell4
| cell1 = cell2
| epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(sr,[status(thm)],[27143,7752,theory(equality)]) ).
cnf(27160,negated_conjecture,
( cell1 = cell3
| cell1 = cell4
| cell1 = cell2
| epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(sr,[status(thm)],[27159,6630,theory(equality)]) ).
cnf(27161,negated_conjecture,
( cell1 = cell4
| cell1 = cell2
| epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(sr,[status(thm)],[27160,5595,theory(equality)]) ).
cnf(27162,negated_conjecture,
( cell1 = cell2
| epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(sr,[status(thm)],[27161,6634,theory(equality)]) ).
cnf(27163,negated_conjecture,
( epred18_2(cell100,cell1)
| epred18_2(cell1,cell100) ),
inference(sr,[status(thm)],[27162,5627,theory(equality)]) ).
cnf(27279,negated_conjecture,
( cell98 = cell100
| cell97 = cell100
| cell96 = cell100
| cell95 = cell100
| cell100 = cell1
| epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(spm,[status(thm)],[10724,27163,theory(equality)]) ).
cnf(27311,negated_conjecture,
( cell100 = cell97
| cell100 = cell96
| cell100 = cell95
| cell1 = cell100
| epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(sr,[status(thm)],[27279,8949,theory(equality)]) ).
cnf(27312,negated_conjecture,
( cell100 = cell96
| cell100 = cell95
| cell1 = cell100
| epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(sr,[status(thm)],[27311,5783,theory(equality)]) ).
cnf(27313,negated_conjecture,
( cell100 = cell95
| cell1 = cell100
| epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(sr,[status(thm)],[27312,5378,theory(equality)]) ).
cnf(27314,negated_conjecture,
( cell1 = cell100
| epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(sr,[status(thm)],[27313,6057,theory(equality)]) ).
cnf(27315,negated_conjecture,
( epred17_2(cell1,cell100)
| epred18_2(cell100,cell1) ),
inference(sr,[status(thm)],[27314,8429,theory(equality)]) ).
cnf(27491,negated_conjecture,
( cell99 = cell1
| cell98 = cell1
| cell97 = cell1
| cell96 = cell1
| cell95 = cell1
| epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(spm,[status(thm)],[10725,27315,theory(equality)]) ).
cnf(27507,negated_conjecture,
( cell1 = cell98
| cell1 = cell97
| cell1 = cell96
| cell1 = cell95
| epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(sr,[status(thm)],[27491,9973,theory(equality)]) ).
cnf(27508,negated_conjecture,
( cell1 = cell97
| cell1 = cell96
| cell1 = cell95
| epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(sr,[status(thm)],[27507,8948,theory(equality)]) ).
cnf(27509,negated_conjecture,
( cell1 = cell96
| cell1 = cell95
| epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(sr,[status(thm)],[27508,5784,theory(equality)]) ).
cnf(27510,negated_conjecture,
( cell1 = cell95
| epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(sr,[status(thm)],[27509,5377,theory(equality)]) ).
cnf(27511,negated_conjecture,
( epred17_2(cell100,cell1)
| epred17_2(cell1,cell100) ),
inference(sr,[status(thm)],[27510,6056,theory(equality)]) ).
cnf(27627,negated_conjecture,
( cell94 = cell100
| cell93 = cell100
| cell92 = cell100
| cell91 = cell100
| cell90 = cell1
| epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(spm,[status(thm)],[10668,27511,theory(equality)]) ).
cnf(27659,negated_conjecture,
( cell100 = cell93
| cell100 = cell92
| cell91 = cell100
| cell1 = cell90
| epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(sr,[status(thm)],[27627,8525,theory(equality)]) ).
cnf(27660,negated_conjecture,
( cell100 = cell92
| cell91 = cell100
| cell1 = cell90
| epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(sr,[status(thm)],[27659,5075,theory(equality)]) ).
cnf(27661,negated_conjecture,
( cell91 = cell100
| cell1 = cell90
| epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(sr,[status(thm)],[27660,5828,theory(equality)]) ).
cnf(27662,negated_conjecture,
( cell1 = cell90
| epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(sr,[status(thm)],[27661,6611,theory(equality)]) ).
cnf(27663,negated_conjecture,
( epred16_2(cell1,cell100)
| epred17_2(cell100,cell1) ),
inference(sr,[status(thm)],[27662,7184,theory(equality)]) ).
cnf(27839,negated_conjecture,
( cell94 = cell1
| cell93 = cell1
| cell92 = cell1
| cell91 = cell1
| cell90 = cell100
| epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(spm,[status(thm)],[10668,27663,theory(equality)]) ).
cnf(27871,negated_conjecture,
( cell1 = cell93
| cell1 = cell92
| cell91 = cell1
| cell100 = cell90
| epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(sr,[status(thm)],[27839,8864,theory(equality)]) ).
cnf(27872,negated_conjecture,
( cell1 = cell92
| cell91 = cell1
| cell100 = cell90
| epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(sr,[status(thm)],[27871,5076,theory(equality)]) ).
cnf(27873,negated_conjecture,
( cell91 = cell1
| cell100 = cell90
| epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(sr,[status(thm)],[27872,5825,theory(equality)]) ).
cnf(27874,negated_conjecture,
( cell100 = cell90
| epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(sr,[status(thm)],[27873,6617,theory(equality)]) ).
cnf(27875,negated_conjecture,
( epred16_2(cell100,cell1)
| epred16_2(cell1,cell100) ),
inference(sr,[status(thm)],[27874,7187,theory(equality)]) ).
cnf(28071,negated_conjecture,
( cell88 = cell1
| cell88 = cell100
| cell86 = cell100
| cell85 = cell1
| cell85 = cell100
| epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(spm,[status(thm)],[10625,27875,theory(equality)]) ).
cnf(28103,negated_conjecture,
( cell100 = cell88
| cell100 = cell86
| cell1 = cell85
| cell100 = cell85
| epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(sr,[status(thm)],[28071,6545,theory(equality)]) ).
cnf(28104,negated_conjecture,
( cell100 = cell86
| cell1 = cell85
| cell100 = cell85
| epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(sr,[status(thm)],[28103,6546,theory(equality)]) ).
cnf(28105,negated_conjecture,
( cell1 = cell85
| cell100 = cell85
| epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(sr,[status(thm)],[28104,5032,theory(equality)]) ).
cnf(28106,negated_conjecture,
( cell100 = cell85
| epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(sr,[status(thm)],[28105,7991,theory(equality)]) ).
cnf(28107,negated_conjecture,
( epred15_2(cell1,cell100)
| epred16_2(cell100,cell1) ),
inference(sr,[status(thm)],[28106,7992,theory(equality)]) ).
cnf(28303,negated_conjecture,
( cell88 = cell100
| cell88 = cell1
| cell86 = cell1
| cell85 = cell100
| cell85 = cell1
| epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(spm,[status(thm)],[10625,28107,theory(equality)]) ).
cnf(28335,negated_conjecture,
( cell1 = cell88
| cell1 = cell86
| cell100 = cell85
| cell1 = cell85
| epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(sr,[status(thm)],[28303,6546,theory(equality)]) ).
cnf(28336,negated_conjecture,
( cell1 = cell86
| cell100 = cell85
| cell1 = cell85
| epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(sr,[status(thm)],[28335,6545,theory(equality)]) ).
cnf(28337,negated_conjecture,
( cell100 = cell85
| cell1 = cell85
| epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(sr,[status(thm)],[28336,5035,theory(equality)]) ).
cnf(28338,negated_conjecture,
( cell1 = cell85
| epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(sr,[status(thm)],[28337,7992,theory(equality)]) ).
cnf(28339,negated_conjecture,
( epred15_2(cell100,cell1)
| epred15_2(cell1,cell100) ),
inference(sr,[status(thm)],[28338,7991,theory(equality)]) ).
cnf(28535,negated_conjecture,
( cell80 = cell1
| cell78 = cell100
| cell81 = cell100
| cell83 = cell1
| cell83 = cell100
| epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(spm,[status(thm)],[10592,28339,theory(equality)]) ).
cnf(28567,negated_conjecture,
( cell100 = cell78
| cell100 = cell81
| cell1 = cell83
| cell100 = cell83
| epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(sr,[status(thm)],[28535,7669,theory(equality)]) ).
cnf(28568,negated_conjecture,
( cell100 = cell81
| cell1 = cell83
| cell100 = cell83
| epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(sr,[status(thm)],[28567,6946,theory(equality)]) ).
cnf(28569,negated_conjecture,
( cell1 = cell83
| cell100 = cell83
| epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(sr,[status(thm)],[28568,8745,theory(equality)]) ).
cnf(28570,negated_conjecture,
( cell100 = cell83
| epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(sr,[status(thm)],[28569,8688,theory(equality)]) ).
cnf(28571,negated_conjecture,
( epred14_2(cell1,cell100)
| epred15_2(cell100,cell1) ),
inference(sr,[status(thm)],[28570,8696,theory(equality)]) ).
cnf(28767,negated_conjecture,
( cell80 = cell100
| cell78 = cell1
| cell81 = cell1
| cell83 = cell100
| cell83 = cell1
| epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(spm,[status(thm)],[10592,28571,theory(equality)]) ).
cnf(28799,negated_conjecture,
( cell1 = cell78
| cell1 = cell81
| cell100 = cell83
| cell1 = cell83
| epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(sr,[status(thm)],[28767,7668,theory(equality)]) ).
cnf(28800,negated_conjecture,
( cell1 = cell81
| cell100 = cell83
| cell1 = cell83
| epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(sr,[status(thm)],[28799,6477,theory(equality)]) ).
cnf(28801,negated_conjecture,
( cell100 = cell83
| cell1 = cell83
| epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(sr,[status(thm)],[28800,9075,theory(equality)]) ).
cnf(28802,negated_conjecture,
( cell1 = cell83
| epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(sr,[status(thm)],[28801,8696,theory(equality)]) ).
cnf(28803,negated_conjecture,
( epred14_2(cell100,cell1)
| epred14_2(cell1,cell100) ),
inference(sr,[status(thm)],[28802,8688,theory(equality)]) ).
cnf(28999,negated_conjecture,
( cell76 = cell100
| cell75 = cell100
| cell74 = cell100
| cell73 = cell100
| cell78 = cell1
| epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(spm,[status(thm)],[10560,28803,theory(equality)]) ).
cnf(29031,negated_conjecture,
( cell100 = cell75
| cell100 = cell74
| cell100 = cell73
| cell1 = cell78
| epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(sr,[status(thm)],[28999,5640,theory(equality)]) ).
cnf(29032,negated_conjecture,
( cell100 = cell74
| cell100 = cell73
| cell1 = cell78
| epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(sr,[status(thm)],[29031,7633,theory(equality)]) ).
cnf(29033,negated_conjecture,
( cell100 = cell73
| cell1 = cell78
| epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(sr,[status(thm)],[29032,9469,theory(equality)]) ).
cnf(29034,negated_conjecture,
( cell1 = cell78
| epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(sr,[status(thm)],[29033,7322,theory(equality)]) ).
cnf(29035,negated_conjecture,
( epred13_2(cell1,cell100)
| epred14_2(cell100,cell1) ),
inference(sr,[status(thm)],[29034,6477,theory(equality)]) ).
cnf(29231,negated_conjecture,
( cell76 = cell1
| cell75 = cell1
| cell74 = cell1
| cell73 = cell1
| cell78 = cell100
| epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(spm,[status(thm)],[10560,29035,theory(equality)]) ).
cnf(29263,negated_conjecture,
( cell1 = cell75
| cell1 = cell74
| cell1 = cell73
| cell100 = cell78
| epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(sr,[status(thm)],[29231,5639,theory(equality)]) ).
cnf(29264,negated_conjecture,
( cell1 = cell74
| cell1 = cell73
| cell100 = cell78
| epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(sr,[status(thm)],[29263,7632,theory(equality)]) ).
cnf(29265,negated_conjecture,
( cell1 = cell73
| cell100 = cell78
| epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(sr,[status(thm)],[29264,7718,theory(equality)]) ).
cnf(29266,negated_conjecture,
( cell100 = cell78
| epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(sr,[status(thm)],[29265,7323,theory(equality)]) ).
cnf(29267,negated_conjecture,
( epred13_2(cell100,cell1)
| epred13_2(cell1,cell100) ),
inference(sr,[status(thm)],[29266,6946,theory(equality)]) ).
cnf(29463,negated_conjecture,
( cell69 = cell100
| cell68 = cell100
| cell67 = cell100
| cell72 = cell1
| cell72 = cell100
| epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(spm,[status(thm)],[10518,29267,theory(equality)]) ).
cnf(29495,negated_conjecture,
( cell100 = cell68
| cell100 = cell67
| cell1 = cell72
| cell100 = cell72
| epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(sr,[status(thm)],[29463,7097,theory(equality)]) ).
cnf(29496,negated_conjecture,
( cell100 = cell67
| cell1 = cell72
| cell100 = cell72
| epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(sr,[status(thm)],[29495,8792,theory(equality)]) ).
cnf(29497,negated_conjecture,
( cell1 = cell72
| cell100 = cell72
| epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(sr,[status(thm)],[29496,5861,theory(equality)]) ).
cnf(29498,negated_conjecture,
( cell100 = cell72
| epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(sr,[status(thm)],[29497,8439,theory(equality)]) ).
cnf(29499,negated_conjecture,
( epred12_2(cell1,cell100)
| epred13_2(cell100,cell1) ),
inference(sr,[status(thm)],[29498,8440,theory(equality)]) ).
cnf(29695,negated_conjecture,
( cell69 = cell1
| cell68 = cell1
| cell67 = cell1
| cell72 = cell100
| cell72 = cell1
| epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(spm,[status(thm)],[10518,29499,theory(equality)]) ).
cnf(29727,negated_conjecture,
( cell1 = cell68
| cell1 = cell67
| cell100 = cell72
| cell1 = cell72
| epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(sr,[status(thm)],[29695,6624,theory(equality)]) ).
cnf(29728,negated_conjecture,
( cell1 = cell67
| cell100 = cell72
| cell1 = cell72
| epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(sr,[status(thm)],[29727,8793,theory(equality)]) ).
cnf(29729,negated_conjecture,
( cell100 = cell72
| cell1 = cell72
| epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(sr,[status(thm)],[29728,9859,theory(equality)]) ).
cnf(29730,negated_conjecture,
( cell1 = cell72
| epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(sr,[status(thm)],[29729,8440,theory(equality)]) ).
cnf(29731,negated_conjecture,
( epred12_2(cell100,cell1)
| epred12_2(cell1,cell100) ),
inference(sr,[status(thm)],[29730,8439,theory(equality)]) ).
cnf(29927,negated_conjecture,
( cell65 = cell1
| cell63 = cell100
| cell62 = cell100
| cell66 = cell1
| cell66 = cell100
| epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(spm,[status(thm)],[10473,29731,theory(equality)]) ).
cnf(29959,negated_conjecture,
( cell100 = cell63
| cell100 = cell62
| cell1 = cell66
| cell100 = cell66
| epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(sr,[status(thm)],[29927,7354,theory(equality)]) ).
cnf(29960,negated_conjecture,
( cell100 = cell62
| cell1 = cell66
| cell100 = cell66
| epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(sr,[status(thm)],[29959,6880,theory(equality)]) ).
cnf(29961,negated_conjecture,
( cell1 = cell66
| cell100 = cell66
| epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(sr,[status(thm)],[29960,5572,theory(equality)]) ).
cnf(29962,negated_conjecture,
( cell100 = cell66
| epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(sr,[status(thm)],[29961,7397,theory(equality)]) ).
cnf(29963,negated_conjecture,
( epred11_2(cell1,cell100)
| epred12_2(cell100,cell1) ),
inference(sr,[status(thm)],[29962,7396,theory(equality)]) ).
cnf(30159,negated_conjecture,
( cell65 = cell100
| cell63 = cell1
| cell62 = cell1
| cell66 = cell100
| cell66 = cell1
| epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(spm,[status(thm)],[10473,29963,theory(equality)]) ).
cnf(30191,negated_conjecture,
( cell1 = cell63
| cell1 = cell62
| cell100 = cell66
| cell1 = cell66
| epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(sr,[status(thm)],[30159,8771,theory(equality)]) ).
cnf(30192,negated_conjecture,
( cell1 = cell62
| cell100 = cell66
| cell1 = cell66
| epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(sr,[status(thm)],[30191,5943,theory(equality)]) ).
cnf(30193,negated_conjecture,
( cell100 = cell66
| cell1 = cell66
| epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(sr,[status(thm)],[30192,7161,theory(equality)]) ).
cnf(30194,negated_conjecture,
( cell1 = cell66
| epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(sr,[status(thm)],[30193,7396,theory(equality)]) ).
cnf(30195,negated_conjecture,
( epred11_2(cell100,cell1)
| epred11_2(cell1,cell100) ),
inference(sr,[status(thm)],[30194,7397,theory(equality)]) ).
cnf(30391,negated_conjecture,
( cell57 = cell100
| cell56 = cell100
| cell62 = cell1
| cell59 = cell1
| cell59 = cell100
| epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(spm,[status(thm)],[10433,30195,theory(equality)]) ).
cnf(30423,negated_conjecture,
( cell100 = cell56
| cell1 = cell62
| cell1 = cell59
| cell100 = cell59
| epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(sr,[status(thm)],[30391,6211,theory(equality)]) ).
cnf(30424,negated_conjecture,
( cell1 = cell62
| cell1 = cell59
| cell100 = cell59
| epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(sr,[status(thm)],[30423,7033,theory(equality)]) ).
cnf(30425,negated_conjecture,
( cell1 = cell59
| cell100 = cell59
| epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(sr,[status(thm)],[30424,7161,theory(equality)]) ).
cnf(30426,negated_conjecture,
( cell100 = cell59
| epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(sr,[status(thm)],[30425,6662,theory(equality)]) ).
cnf(30427,negated_conjecture,
( epred10_2(cell1,cell100)
| epred11_2(cell100,cell1) ),
inference(sr,[status(thm)],[30426,6308,theory(equality)]) ).
cnf(30623,negated_conjecture,
( cell57 = cell1
| cell56 = cell1
| cell62 = cell100
| cell59 = cell100
| cell59 = cell1
| epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(spm,[status(thm)],[10433,30427,theory(equality)]) ).
cnf(30655,negated_conjecture,
( cell1 = cell56
| cell100 = cell62
| cell100 = cell59
| cell1 = cell59
| epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(sr,[status(thm)],[30623,6212,theory(equality)]) ).
cnf(30656,negated_conjecture,
( cell100 = cell62
| cell100 = cell59
| cell1 = cell59
| epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(sr,[status(thm)],[30655,5615,theory(equality)]) ).
cnf(30657,negated_conjecture,
( cell100 = cell59
| cell1 = cell59
| epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(sr,[status(thm)],[30656,5572,theory(equality)]) ).
cnf(30658,negated_conjecture,
( cell1 = cell59
| epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(sr,[status(thm)],[30657,6308,theory(equality)]) ).
cnf(30659,negated_conjecture,
( epred10_2(cell100,cell1)
| epred10_2(cell1,cell100) ),
inference(sr,[status(thm)],[30658,6662,theory(equality)]) ).
cnf(30855,negated_conjecture,
( cell55 = cell1
| cell55 = cell100
| cell52 = cell1
| cell53 = cell1
| cell53 = cell100
| epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(spm,[status(thm)],[10371,30659,theory(equality)]) ).
cnf(30887,negated_conjecture,
( cell100 = cell55
| cell1 = cell52
| cell1 = cell53
| cell100 = cell53
| epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(sr,[status(thm)],[30855,5040,theory(equality)]) ).
cnf(30888,negated_conjecture,
( cell1 = cell52
| cell1 = cell53
| cell100 = cell53
| epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(sr,[status(thm)],[30887,9550,theory(equality)]) ).
cnf(30889,negated_conjecture,
( cell1 = cell53
| cell100 = cell53
| epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(sr,[status(thm)],[30888,5449,theory(equality)]) ).
cnf(30890,negated_conjecture,
( cell100 = cell53
| epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(sr,[status(thm)],[30889,7526,theory(equality)]) ).
cnf(30891,negated_conjecture,
( epred9_2(cell1,cell100)
| epred10_2(cell100,cell1) ),
inference(sr,[status(thm)],[30890,7513,theory(equality)]) ).
cnf(31087,negated_conjecture,
( cell55 = cell100
| cell55 = cell1
| cell52 = cell100
| cell53 = cell100
| cell53 = cell1
| epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(spm,[status(thm)],[10371,30891,theory(equality)]) ).
cnf(31119,negated_conjecture,
( cell1 = cell55
| cell100 = cell52
| cell100 = cell53
| cell1 = cell53
| epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(sr,[status(thm)],[31087,9550,theory(equality)]) ).
cnf(31120,negated_conjecture,
( cell100 = cell52
| cell100 = cell53
| cell1 = cell53
| epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(sr,[status(thm)],[31119,5040,theory(equality)]) ).
cnf(31121,negated_conjecture,
( cell100 = cell53
| cell1 = cell53
| epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(sr,[status(thm)],[31120,7084,theory(equality)]) ).
cnf(31122,negated_conjecture,
( cell1 = cell53
| epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(sr,[status(thm)],[31121,7513,theory(equality)]) ).
cnf(31123,negated_conjecture,
( epred9_2(cell100,cell1)
| epred9_2(cell1,cell100) ),
inference(sr,[status(thm)],[31122,7526,theory(equality)]) ).
cnf(31319,negated_conjecture,
( cell47 = cell1
| cell47 = cell100
| cell45 = cell100
| cell49 = cell1
| cell49 = cell100
| epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(spm,[status(thm)],[10346,31123,theory(equality)]) ).
cnf(31351,negated_conjecture,
( cell100 = cell47
| cell100 = cell45
| cell1 = cell49
| cell100 = cell49
| epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(sr,[status(thm)],[31319,8227,theory(equality)]) ).
cnf(31352,negated_conjecture,
( cell100 = cell45
| cell1 = cell49
| cell100 = cell49
| epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(sr,[status(thm)],[31351,7129,theory(equality)]) ).
cnf(31353,negated_conjecture,
( cell1 = cell49
| cell100 = cell49
| epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(sr,[status(thm)],[31352,5293,theory(equality)]) ).
cnf(31354,negated_conjecture,
( cell100 = cell49
| epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(sr,[status(thm)],[31353,9523,theory(equality)]) ).
cnf(31355,negated_conjecture,
( epred8_2(cell1,cell100)
| epred9_2(cell100,cell1) ),
inference(sr,[status(thm)],[31354,7853,theory(equality)]) ).
cnf(31551,negated_conjecture,
( cell47 = cell100
| cell47 = cell1
| cell45 = cell1
| cell49 = cell100
| cell49 = cell1
| epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(spm,[status(thm)],[10346,31355,theory(equality)]) ).
cnf(31583,negated_conjecture,
( cell1 = cell47
| cell1 = cell45
| cell100 = cell49
| cell1 = cell49
| epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(sr,[status(thm)],[31551,7129,theory(equality)]) ).
cnf(31584,negated_conjecture,
( cell1 = cell45
| cell100 = cell49
| cell1 = cell49
| epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(sr,[status(thm)],[31583,8227,theory(equality)]) ).
cnf(31585,negated_conjecture,
( cell100 = cell49
| cell1 = cell49
| epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(sr,[status(thm)],[31584,9564,theory(equality)]) ).
cnf(31586,negated_conjecture,
( cell1 = cell49
| epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(sr,[status(thm)],[31585,7853,theory(equality)]) ).
cnf(31587,negated_conjecture,
( epred8_2(cell100,cell1)
| epred8_2(cell1,cell100) ),
inference(sr,[status(thm)],[31586,9523,theory(equality)]) ).
cnf(31783,negated_conjecture,
( cell43 = cell1
| cell44 = cell1
| cell45 = cell1
| cell39 = cell100
| cell41 = cell100
| epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(spm,[status(thm)],[10308,31587,theory(equality)]) ).
cnf(31815,negated_conjecture,
( cell1 = cell44
| cell1 = cell45
| cell100 = cell39
| cell100 = cell41
| epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(sr,[status(thm)],[31783,5686,theory(equality)]) ).
cnf(31816,negated_conjecture,
( cell1 = cell45
| cell100 = cell39
| cell100 = cell41
| epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(sr,[status(thm)],[31815,9162,theory(equality)]) ).
cnf(31817,negated_conjecture,
( cell100 = cell39
| cell100 = cell41
| epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(sr,[status(thm)],[31816,9564,theory(equality)]) ).
cnf(31818,negated_conjecture,
( cell100 = cell41
| epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(sr,[status(thm)],[31817,7855,theory(equality)]) ).
cnf(31819,negated_conjecture,
( epred7_2(cell1,cell100)
| epred8_2(cell100,cell1) ),
inference(sr,[status(thm)],[31818,8819,theory(equality)]) ).
cnf(32015,negated_conjecture,
( cell43 = cell100
| cell44 = cell100
| cell45 = cell100
| cell39 = cell1
| cell41 = cell1
| epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(spm,[status(thm)],[10308,31819,theory(equality)]) ).
cnf(32047,negated_conjecture,
( cell100 = cell44
| cell100 = cell45
| cell1 = cell39
| cell1 = cell41
| epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(sr,[status(thm)],[32015,5676,theory(equality)]) ).
cnf(32048,negated_conjecture,
( cell100 = cell45
| cell1 = cell39
| cell1 = cell41
| epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(sr,[status(thm)],[32047,9164,theory(equality)]) ).
cnf(32049,negated_conjecture,
( cell1 = cell39
| cell1 = cell41
| epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(sr,[status(thm)],[32048,5293,theory(equality)]) ).
cnf(32050,negated_conjecture,
( cell1 = cell41
| epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(sr,[status(thm)],[32049,8090,theory(equality)]) ).
cnf(32051,negated_conjecture,
( epred7_2(cell100,cell1)
| epred7_2(cell1,cell100) ),
inference(sr,[status(thm)],[32050,7087,theory(equality)]) ).
cnf(32247,negated_conjecture,
( cell35 = cell1
| cell36 = cell1
| cell36 = cell100
| cell38 = cell1
| cell39 = cell1
| epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(spm,[status(thm)],[10247,32051,theory(equality)]) ).
cnf(32279,negated_conjecture,
( cell1 = cell36
| cell100 = cell36
| cell1 = cell38
| cell1 = cell39
| epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(sr,[status(thm)],[32247,6040,theory(equality)]) ).
cnf(32280,negated_conjecture,
( cell100 = cell36
| cell1 = cell38
| cell1 = cell39
| epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(sr,[status(thm)],[32279,7105,theory(equality)]) ).
cnf(32281,negated_conjecture,
( cell1 = cell38
| cell1 = cell39
| epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(sr,[status(thm)],[32280,7104,theory(equality)]) ).
cnf(32282,negated_conjecture,
( cell1 = cell39
| epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(sr,[status(thm)],[32281,8113,theory(equality)]) ).
cnf(32283,negated_conjecture,
( epred6_2(cell1,cell100)
| epred7_2(cell100,cell1) ),
inference(sr,[status(thm)],[32282,8090,theory(equality)]) ).
cnf(32479,negated_conjecture,
( cell35 = cell100
| cell36 = cell100
| cell36 = cell1
| cell38 = cell100
| cell39 = cell100
| epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(spm,[status(thm)],[10247,32283,theory(equality)]) ).
cnf(32511,negated_conjecture,
( cell100 = cell36
| cell1 = cell36
| cell100 = cell38
| cell100 = cell39
| epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(sr,[status(thm)],[32479,9833,theory(equality)]) ).
cnf(32512,negated_conjecture,
( cell1 = cell36
| cell100 = cell38
| cell100 = cell39
| epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(sr,[status(thm)],[32511,7104,theory(equality)]) ).
cnf(32513,negated_conjecture,
( cell100 = cell38
| cell100 = cell39
| epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(sr,[status(thm)],[32512,7105,theory(equality)]) ).
cnf(32514,negated_conjecture,
( cell100 = cell39
| epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(sr,[status(thm)],[32513,8214,theory(equality)]) ).
cnf(32515,negated_conjecture,
( epred6_2(cell100,cell1)
| epred6_2(cell1,cell100) ),
inference(sr,[status(thm)],[32514,7855,theory(equality)]) ).
cnf(32711,negated_conjecture,
( cell29 = cell1
| cell30 = cell1
| cell32 = cell1
| cell33 = cell1
| cell33 = cell100
| epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(spm,[status(thm)],[10203,32515,theory(equality)]) ).
cnf(32743,negated_conjecture,
( cell1 = cell30
| cell1 = cell32
| cell1 = cell33
| cell100 = cell33
| epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(sr,[status(thm)],[32711,6294,theory(equality)]) ).
cnf(32744,negated_conjecture,
( cell1 = cell32
| cell1 = cell33
| cell100 = cell33
| epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(sr,[status(thm)],[32743,8232,theory(equality)]) ).
cnf(32745,negated_conjecture,
( cell1 = cell33
| cell100 = cell33
| epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(sr,[status(thm)],[32744,6067,theory(equality)]) ).
cnf(32746,negated_conjecture,
( cell100 = cell33
| epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(sr,[status(thm)],[32745,8953,theory(equality)]) ).
cnf(32747,negated_conjecture,
( epred5_2(cell1,cell100)
| epred6_2(cell100,cell1) ),
inference(sr,[status(thm)],[32746,8954,theory(equality)]) ).
cnf(32943,negated_conjecture,
( cell29 = cell100
| cell30 = cell100
| cell32 = cell100
| cell33 = cell100
| cell33 = cell1
| epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(spm,[status(thm)],[10203,32747,theory(equality)]) ).
cnf(32975,negated_conjecture,
( cell100 = cell30
| cell100 = cell32
| cell100 = cell33
| cell1 = cell33
| epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(sr,[status(thm)],[32943,8554,theory(equality)]) ).
cnf(32976,negated_conjecture,
( cell100 = cell32
| cell100 = cell33
| cell1 = cell33
| epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(sr,[status(thm)],[32975,8233,theory(equality)]) ).
cnf(32977,negated_conjecture,
( cell100 = cell33
| cell1 = cell33
| epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(sr,[status(thm)],[32976,8754,theory(equality)]) ).
cnf(32978,negated_conjecture,
( cell1 = cell33
| epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(sr,[status(thm)],[32977,8954,theory(equality)]) ).
cnf(32979,negated_conjecture,
( epred5_2(cell100,cell1)
| epred5_2(cell1,cell100) ),
inference(sr,[status(thm)],[32978,8953,theory(equality)]) ).
cnf(33175,negated_conjecture,
( cell24 = cell1
| cell25 = cell1
| cell26 = cell1
| cell26 = cell100
| cell28 = cell1
| epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(spm,[status(thm)],[10163,32979,theory(equality)]) ).
cnf(33207,negated_conjecture,
( cell1 = cell25
| cell1 = cell26
| cell100 = cell26
| cell1 = cell28
| epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(sr,[status(thm)],[33175,6528,theory(equality)]) ).
cnf(33208,negated_conjecture,
( cell1 = cell26
| cell100 = cell26
| cell1 = cell28
| epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(sr,[status(thm)],[33207,6750,theory(equality)]) ).
cnf(33209,negated_conjecture,
( cell100 = cell26
| cell1 = cell28
| epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(sr,[status(thm)],[33208,8408,theory(equality)]) ).
cnf(33210,negated_conjecture,
( cell1 = cell28
| epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(sr,[status(thm)],[33209,5638,theory(equality)]) ).
cnf(33211,negated_conjecture,
( epred4_2(cell1,cell100)
| epred5_2(cell100,cell1) ),
inference(sr,[status(thm)],[33210,5348,theory(equality)]) ).
cnf(33407,negated_conjecture,
( cell24 = cell100
| cell25 = cell100
| cell26 = cell100
| cell26 = cell1
| cell28 = cell100
| epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(spm,[status(thm)],[10163,33211,theory(equality)]) ).
cnf(33439,negated_conjecture,
( cell100 = cell25
| cell100 = cell26
| cell1 = cell26
| cell100 = cell28
| epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(sr,[status(thm)],[33407,6527,theory(equality)]) ).
cnf(33440,negated_conjecture,
( cell100 = cell26
| cell1 = cell26
| cell100 = cell28
| epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(sr,[status(thm)],[33439,9625,theory(equality)]) ).
cnf(33441,negated_conjecture,
( cell1 = cell26
| cell100 = cell28
| epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(sr,[status(thm)],[33440,5638,theory(equality)]) ).
cnf(33442,negated_conjecture,
( cell100 = cell28
| epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(sr,[status(thm)],[33441,8408,theory(equality)]) ).
cnf(33443,negated_conjecture,
( epred4_2(cell100,cell1)
| epred4_2(cell1,cell100) ),
inference(sr,[status(thm)],[33442,5349,theory(equality)]) ).
cnf(33639,negated_conjecture,
( cell22 = cell100
| cell17 = cell100
| cell21 = cell100
| cell19 = cell1
| cell20 = cell1
| epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(spm,[status(thm)],[10139,33443,theory(equality)]) ).
cnf(33671,negated_conjecture,
( cell100 = cell17
| cell100 = cell21
| cell1 = cell19
| cell1 = cell20
| epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(sr,[status(thm)],[33639,8842,theory(equality)]) ).
cnf(33672,negated_conjecture,
( cell100 = cell21
| cell1 = cell19
| cell1 = cell20
| epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(sr,[status(thm)],[33671,6594,theory(equality)]) ).
cnf(33673,negated_conjecture,
( cell1 = cell19
| cell1 = cell20
| epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(sr,[status(thm)],[33672,8159,theory(equality)]) ).
cnf(33674,negated_conjecture,
( cell1 = cell20
| epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(sr,[status(thm)],[33673,9547,theory(equality)]) ).
cnf(33675,negated_conjecture,
( epred3_2(cell1,cell100)
| epred4_2(cell100,cell1) ),
inference(sr,[status(thm)],[33674,6356,theory(equality)]) ).
cnf(33871,negated_conjecture,
( cell22 = cell1
| cell17 = cell1
| cell21 = cell1
| cell19 = cell100
| cell20 = cell100
| epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(spm,[status(thm)],[10139,33675,theory(equality)]) ).
cnf(33903,negated_conjecture,
( cell1 = cell17
| cell1 = cell21
| cell100 = cell19
| cell100 = cell20
| epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(sr,[status(thm)],[33871,7654,theory(equality)]) ).
cnf(33904,negated_conjecture,
( cell1 = cell21
| cell100 = cell19
| cell100 = cell20
| epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(sr,[status(thm)],[33903,6595,theory(equality)]) ).
cnf(33905,negated_conjecture,
( cell100 = cell19
| cell100 = cell20
| epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(sr,[status(thm)],[33904,7542,theory(equality)]) ).
cnf(33906,negated_conjecture,
( cell100 = cell20
| epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(sr,[status(thm)],[33905,5245,theory(equality)]) ).
cnf(33907,negated_conjecture,
( epred3_2(cell100,cell1)
| epred3_2(cell1,cell100) ),
inference(sr,[status(thm)],[33906,5216,theory(equality)]) ).
cnf(34103,negated_conjecture,
( cell15 = cell100
| cell17 = cell1
| cell14 = cell1
| cell14 = cell100
| cell12 = cell100
| epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(spm,[status(thm)],[10101,33907,theory(equality)]) ).
cnf(34135,negated_conjecture,
( cell1 = cell17
| cell1 = cell14
| cell100 = cell14
| cell100 = cell12
| epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(sr,[status(thm)],[34103,5219,theory(equality)]) ).
cnf(34136,negated_conjecture,
( cell1 = cell14
| cell100 = cell14
| cell100 = cell12
| epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(sr,[status(thm)],[34135,6595,theory(equality)]) ).
cnf(34137,negated_conjecture,
( cell100 = cell14
| cell100 = cell12
| epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(sr,[status(thm)],[34136,6011,theory(equality)]) ).
cnf(34138,negated_conjecture,
( cell100 = cell12
| epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(sr,[status(thm)],[34137,9892,theory(equality)]) ).
cnf(34139,negated_conjecture,
( epred2_2(cell1,cell100)
| epred3_2(cell100,cell1) ),
inference(sr,[status(thm)],[34138,8117,theory(equality)]) ).
cnf(34335,negated_conjecture,
( cell15 = cell1
| cell17 = cell100
| cell14 = cell100
| cell14 = cell1
| cell12 = cell1
| epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(spm,[status(thm)],[10101,34139,theory(equality)]) ).
cnf(34367,negated_conjecture,
( cell100 = cell17
| cell100 = cell14
| cell1 = cell14
| cell1 = cell12
| epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(sr,[status(thm)],[34335,6985,theory(equality)]) ).
cnf(34368,negated_conjecture,
( cell100 = cell14
| cell1 = cell14
| cell1 = cell12
| epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(sr,[status(thm)],[34367,6594,theory(equality)]) ).
cnf(34369,negated_conjecture,
( cell1 = cell14
| cell1 = cell12
| epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(sr,[status(thm)],[34368,9892,theory(equality)]) ).
cnf(34370,negated_conjecture,
( cell1 = cell12
| epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(sr,[status(thm)],[34369,6011,theory(equality)]) ).
cnf(34371,negated_conjecture,
( epred2_2(cell100,cell1)
| epred2_2(cell1,cell100) ),
inference(sr,[status(thm)],[34370,7824,theory(equality)]) ).
cnf(34567,negated_conjecture,
( cell6 = cell100
| cell12 = cell1
| cell8 = cell100
| cell8 = cell1
| cell9 = cell100
| cell2 = cell100
| cell1 = cell100
| cell4 = cell100
| cell4 = cell1
| cell6 = cell1
| epred2_2(cell100,cell1) ),
inference(spm,[status(thm)],[13998,34371,theory(equality)]) ).
cnf(34825,negated_conjecture,
( cell1 = cell12
| cell100 = cell8
| cell1 = cell8
| cell100 = cell9
| cell100 = cell2
| cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34567,9856,theory(equality)]) ).
cnf(34826,negated_conjecture,
( cell100 = cell8
| cell1 = cell8
| cell100 = cell9
| cell100 = cell2
| cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34825,7824,theory(equality)]) ).
cnf(34827,negated_conjecture,
( cell1 = cell8
| cell100 = cell9
| cell100 = cell2
| cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34826,6414,theory(equality)]) ).
cnf(34828,negated_conjecture,
( cell100 = cell9
| cell100 = cell2
| cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34827,7072,theory(equality)]) ).
cnf(34829,negated_conjecture,
( cell100 = cell2
| cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34828,7020,theory(equality)]) ).
cnf(34830,negated_conjecture,
( cell1 = cell100
| cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34829,8425,theory(equality)]) ).
cnf(34831,negated_conjecture,
( cell100 = cell4
| cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34830,8429,theory(equality)]) ).
cnf(34832,negated_conjecture,
( cell1 = cell4
| cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34831,6633,theory(equality)]) ).
cnf(34833,negated_conjecture,
( cell1 = cell6
| epred2_2(cell100,cell1) ),
inference(sr,[status(thm)],[34832,6634,theory(equality)]) ).
cnf(34834,negated_conjecture,
epred2_2(cell100,cell1),
inference(sr,[status(thm)],[34833,6986,theory(equality)]) ).
cnf(37405,negated_conjecture,
( cell6 = cell1
| cell12 = cell100
| cell8 = cell1
| cell8 = cell100
| cell9 = cell1
| cell2 = cell1
| cell2 = cell100
| cell4 = cell1
| cell4 = cell100
| cell6 = cell100 ),
inference(spm,[status(thm)],[14014,34834,theory(equality)]) ).
cnf(37534,negated_conjecture,
( cell100 = cell12
| cell1 = cell8
| cell100 = cell8
| cell1 = cell9
| cell1 = cell2
| cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37405,6986,theory(equality)]) ).
cnf(37535,negated_conjecture,
( cell1 = cell8
| cell100 = cell8
| cell1 = cell9
| cell1 = cell2
| cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37534,8117,theory(equality)]) ).
cnf(37536,negated_conjecture,
( cell100 = cell8
| cell1 = cell9
| cell1 = cell2
| cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37535,7072,theory(equality)]) ).
cnf(37537,negated_conjecture,
( cell1 = cell9
| cell1 = cell2
| cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37536,6414,theory(equality)]) ).
cnf(37538,negated_conjecture,
( cell1 = cell2
| cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37537,5996,theory(equality)]) ).
cnf(37539,negated_conjecture,
( cell100 = cell2
| cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37538,5627,theory(equality)]) ).
cnf(37540,negated_conjecture,
( cell1 = cell4
| cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37539,8425,theory(equality)]) ).
cnf(37541,negated_conjecture,
( cell100 = cell4
| cell100 = cell6 ),
inference(sr,[status(thm)],[37540,6634,theory(equality)]) ).
cnf(37542,negated_conjecture,
cell100 = cell6,
inference(sr,[status(thm)],[37541,6633,theory(equality)]) ).
cnf(37543,negated_conjecture,
$false,
inference(sr,[status(thm)],[37542,9856,theory(equality)]) ).
cnf(37544,negated_conjecture,
$false,
37543,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ074+1.p
% --creating new selector for []
% -running prover on /tmp/tmpsa2xgh/sel_PUZ074+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ074+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ074+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ074+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------