%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:02:33 PM UTC 2026
% Result : Theorem 0.79s 0.70s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 38
% Syntax : Number of formulae : 185 ( 41 unt; 0 def)
% Number of atoms : 15778 (13132 equ)
% Maximal formula atoms : 361 ( 85 avg)
% Number of connectives : 17135 (1542 ~;10585 |;4936 &)
% ( 72 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 31 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-2 aty)
% Number of functors : 100 ( 100 usr; 100 con; 0-0 aty)
% Number of variables : 288 ( 0 sgn 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tlhfof24989,conjecture,
adj(cell12,cell13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof24989) ).
fof(tlhfof24988,axiom,
! [X3,X4] :
( adj(X4,X3)
<=> ( edge(X3,X4)
| edge(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof24988) ).
fof(tlhfof24987,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tlhfof24987) ).
fof(c_0_3,negated_conjecture,
~ adj(cell12,cell13),
inference(assume_negation,[status(cth)],[tlhfof24989]) ).
fof(c_0_4,negated_conjecture,
~ adj(cell12,cell13),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ adj(cell12,cell13),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X7,X8] :
( ( adj(X8,X7)
| ~ edge(X7,X8) )
& ( adj(X8,X7)
| ~ edge(X8,X7) )
& ( edge(X7,X8)
| edge(X8,X7)
| ~ adj(X8,X7) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof24988])])])]) ).
fof(c_0_8,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> epred36_2(X1,X2) ),
inference(apply_def,[status(thm)],[tlhfof24987,c_0_5]) ).
fof(c_0_9,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
~ adj(cell12,cell13),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ edge(X1,X2)
| adj(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X5,X6] :
( ( edge(X6,X5)
| ~ epred36_2(X5,X6) )
& ( epred36_2(X5,X6)
| ~ edge(X6,X5) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell90 )
| ( X1 = cell99
& X2 = cell89 )
| ( X1 = cell98
& X2 = cell88 )
| ( X1 = cell97
& X2 = cell87 )
| ( X1 = cell96
& X2 = cell86 )
| epred35_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_5,c_0_9]) ).
fof(c_0_14,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_15,negated_conjecture,
~ edge(cell12,cell13),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ epred36_2(X1,X2)
| edge(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X79,X80] :
( ( epred36_2(X80,X79)
| X80 != cell100
| X79 != cell90 )
& ( epred36_2(X80,X79)
| X80 != cell99
| X79 != cell89 )
& ( epred36_2(X80,X79)
| X80 != cell98
| X79 != cell88 )
& ( epred36_2(X80,X79)
| X80 != cell97
| X79 != cell87 )
& ( epred36_2(X80,X79)
| X80 != cell96
| X79 != cell86 )
& ( epred36_2(X80,X79)
| ~ epred35_2(X80,X79) )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X80 = cell98
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X80 = cell98
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X80 = cell98
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X80 = cell98
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X79 = cell88
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X79 = cell88
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X79 = cell88
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X80 = cell97
| X79 = cell88
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X80 = cell98
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X80 = cell98
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X80 = cell98
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X80 = cell98
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X79 = cell88
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X79 = cell88
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X79 = cell88
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X80 = cell96
| X79 = cell87
| X79 = cell88
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X80 = cell98
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X80 = cell98
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X80 = cell98
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X80 = cell98
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X79 = cell88
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X79 = cell88
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X79 = cell88
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X80 = cell97
| X79 = cell88
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X80 = cell98
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X80 = cell98
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X80 = cell98
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X80 = cell98
| X79 = cell89
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X79 = cell88
| X80 = cell99
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X79 = cell88
| X80 = cell99
| X79 = cell90 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X79 = cell88
| X79 = cell89
| X80 = cell100 )
& ( ~ epred36_2(X80,X79)
| epred35_2(X80,X79)
| X79 = cell86
| X79 = cell87
| X79 = cell88
| X79 = cell89
| X79 = cell90 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_18,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell85 )
| ( X1 = cell94
& X2 = cell84 )
| ( X1 = cell93
& X2 = cell83 )
| ( X1 = cell92
& X2 = cell82 )
| ( X1 = cell91
& X2 = cell81 )
| epred34_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_9,c_0_14]) ).
fof(c_0_19,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
~ epred36_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ epred35_2(X1,X2)
| epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X77,X78] :
( ( epred35_2(X78,X77)
| X78 != cell95
| X77 != cell85 )
& ( epred35_2(X78,X77)
| X78 != cell94
| X77 != cell84 )
& ( epred35_2(X78,X77)
| X78 != cell93
| X77 != cell83 )
& ( epred35_2(X78,X77)
| X78 != cell92
| X77 != cell82 )
& ( epred35_2(X78,X77)
| X78 != cell91
| X77 != cell81 )
& ( epred35_2(X78,X77)
| ~ epred34_2(X78,X77) )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X78 = cell93
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X78 = cell93
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X78 = cell93
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X78 = cell93
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X77 = cell83
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X77 = cell83
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X77 = cell83
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X78 = cell92
| X77 = cell83
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X78 = cell93
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X78 = cell93
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X78 = cell93
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X78 = cell93
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X77 = cell83
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X77 = cell83
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X77 = cell83
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X78 = cell91
| X77 = cell82
| X77 = cell83
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X78 = cell93
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X78 = cell93
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X78 = cell93
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X78 = cell93
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X77 = cell83
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X77 = cell83
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X77 = cell83
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X78 = cell92
| X77 = cell83
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X78 = cell93
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X78 = cell93
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X78 = cell93
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X78 = cell93
| X77 = cell84
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X77 = cell83
| X78 = cell94
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X77 = cell83
| X78 = cell94
| X77 = cell85 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X77 = cell83
| X77 = cell84
| X78 = cell95 )
& ( ~ epred35_2(X78,X77)
| epred34_2(X78,X77)
| X77 = cell81
| X77 = cell82
| X77 = cell83
| X77 = cell84
| X77 = cell85 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_23,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( ( X1 = cell90
& X2 = cell80 )
| ( X1 = cell89
& X2 = cell79 )
| ( X1 = cell88
& X2 = cell78 )
| ( X1 = cell87
& X2 = cell77 )
| ( X1 = cell86
& X2 = cell76 )
| epred33_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_14,c_0_19]) ).
fof(c_0_24,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
~ epred35_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ epred34_2(X1,X2)
| epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X75,X76] :
( ( epred34_2(X76,X75)
| X76 != cell90
| X75 != cell80 )
& ( epred34_2(X76,X75)
| X76 != cell89
| X75 != cell79 )
& ( epred34_2(X76,X75)
| X76 != cell88
| X75 != cell78 )
& ( epred34_2(X76,X75)
| X76 != cell87
| X75 != cell77 )
& ( epred34_2(X76,X75)
| X76 != cell86
| X75 != cell76 )
& ( epred34_2(X76,X75)
| ~ epred33_2(X76,X75) )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X76 = cell88
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X76 = cell88
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X76 = cell88
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X76 = cell88
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X75 = cell78
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X75 = cell78
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X75 = cell78
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X76 = cell87
| X75 = cell78
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X76 = cell88
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X76 = cell88
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X76 = cell88
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X76 = cell88
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X75 = cell78
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X75 = cell78
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X75 = cell78
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X76 = cell86
| X75 = cell77
| X75 = cell78
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X76 = cell88
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X76 = cell88
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X76 = cell88
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X76 = cell88
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X75 = cell78
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X75 = cell78
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X75 = cell78
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X76 = cell87
| X75 = cell78
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X76 = cell88
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X76 = cell88
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X76 = cell88
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X76 = cell88
| X75 = cell79
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X75 = cell78
| X76 = cell89
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X75 = cell78
| X76 = cell89
| X75 = cell80 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X75 = cell78
| X75 = cell79
| X76 = cell90 )
& ( ~ epred34_2(X76,X75)
| epred33_2(X76,X75)
| X75 = cell76
| X75 = cell77
| X75 = cell78
| X75 = cell79
| X75 = cell80 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_28,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( ( X1 = cell85
& X2 = cell75 )
| ( X1 = cell84
& X2 = cell74 )
| ( X1 = cell83
& X2 = cell73 )
| ( X1 = cell82
& X2 = cell72 )
| ( X1 = cell81
& X2 = cell71 )
| epred32_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_19,c_0_24]) ).
fof(c_0_29,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_30,plain,
~ epred34_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( ~ epred33_2(X1,X2)
| epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X73,X74] :
( ( epred33_2(X74,X73)
| X74 != cell85
| X73 != cell75 )
& ( epred33_2(X74,X73)
| X74 != cell84
| X73 != cell74 )
& ( epred33_2(X74,X73)
| X74 != cell83
| X73 != cell73 )
& ( epred33_2(X74,X73)
| X74 != cell82
| X73 != cell72 )
& ( epred33_2(X74,X73)
| X74 != cell81
| X73 != cell71 )
& ( epred33_2(X74,X73)
| ~ epred32_2(X74,X73) )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X74 = cell83
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X74 = cell83
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X74 = cell83
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X74 = cell83
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X73 = cell73
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X73 = cell73
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X73 = cell73
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X74 = cell82
| X73 = cell73
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X74 = cell83
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X74 = cell83
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X74 = cell83
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X74 = cell83
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X73 = cell73
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X73 = cell73
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X73 = cell73
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X74 = cell81
| X73 = cell72
| X73 = cell73
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X74 = cell83
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X74 = cell83
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X74 = cell83
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X74 = cell83
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X73 = cell73
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X73 = cell73
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X73 = cell73
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X74 = cell82
| X73 = cell73
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X74 = cell83
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X74 = cell83
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X74 = cell83
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X74 = cell83
| X73 = cell74
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X73 = cell73
| X74 = cell84
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X73 = cell73
| X74 = cell84
| X73 = cell75 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X73 = cell73
| X73 = cell74
| X74 = cell85 )
& ( ~ epred33_2(X74,X73)
| epred32_2(X74,X73)
| X73 = cell71
| X73 = cell72
| X73 = cell73
| X73 = cell74
| X73 = cell75 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_33,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( ( X1 = cell80
& X2 = cell70 )
| ( X1 = cell79
& X2 = cell69 )
| ( X1 = cell78
& X2 = cell68 )
| ( X1 = cell77
& X2 = cell67 )
| ( X1 = cell76
& X2 = cell66 )
| epred31_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_24,c_0_29]) ).
fof(c_0_34,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_35,plain,
~ epred33_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( ~ epred32_2(X1,X2)
| epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X71,X72] :
( ( epred32_2(X72,X71)
| X72 != cell80
| X71 != cell70 )
& ( epred32_2(X72,X71)
| X72 != cell79
| X71 != cell69 )
& ( epred32_2(X72,X71)
| X72 != cell78
| X71 != cell68 )
& ( epred32_2(X72,X71)
| X72 != cell77
| X71 != cell67 )
& ( epred32_2(X72,X71)
| X72 != cell76
| X71 != cell66 )
& ( epred32_2(X72,X71)
| ~ epred31_2(X72,X71) )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X72 = cell78
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X72 = cell78
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X72 = cell78
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X72 = cell78
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X71 = cell68
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X71 = cell68
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X71 = cell68
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X72 = cell77
| X71 = cell68
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X72 = cell78
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X72 = cell78
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X72 = cell78
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X72 = cell78
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X71 = cell68
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X71 = cell68
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X71 = cell68
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X72 = cell76
| X71 = cell67
| X71 = cell68
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X72 = cell78
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X72 = cell78
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X72 = cell78
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X72 = cell78
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X71 = cell68
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X71 = cell68
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X71 = cell68
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X72 = cell77
| X71 = cell68
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X72 = cell78
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X72 = cell78
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X72 = cell78
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X72 = cell78
| X71 = cell69
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X71 = cell68
| X72 = cell79
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X71 = cell68
| X72 = cell79
| X71 = cell70 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X71 = cell68
| X71 = cell69
| X72 = cell80 )
& ( ~ epred32_2(X72,X71)
| epred31_2(X72,X71)
| X71 = cell66
| X71 = cell67
| X71 = cell68
| X71 = cell69
| X71 = cell70 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_38,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( ( X1 = cell75
& X2 = cell65 )
| ( X1 = cell74
& X2 = cell64 )
| ( X1 = cell73
& X2 = cell63 )
| ( X1 = cell72
& X2 = cell62 )
| ( X1 = cell71
& X2 = cell61 )
| epred30_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_34]) ).
fof(c_0_39,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_40,plain,
~ epred32_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( ~ epred31_2(X1,X2)
| epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_42,plain,
! [X69,X70] :
( ( epred31_2(X70,X69)
| X70 != cell75
| X69 != cell65 )
& ( epred31_2(X70,X69)
| X70 != cell74
| X69 != cell64 )
& ( epred31_2(X70,X69)
| X70 != cell73
| X69 != cell63 )
& ( epred31_2(X70,X69)
| X70 != cell72
| X69 != cell62 )
& ( epred31_2(X70,X69)
| X70 != cell71
| X69 != cell61 )
& ( epred31_2(X70,X69)
| ~ epred30_2(X70,X69) )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X70 = cell73
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X70 = cell73
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X70 = cell73
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X70 = cell73
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X69 = cell63
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X69 = cell63
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X69 = cell63
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X70 = cell72
| X69 = cell63
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X70 = cell73
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X70 = cell73
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X70 = cell73
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X70 = cell73
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X69 = cell63
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X69 = cell63
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X69 = cell63
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X70 = cell71
| X69 = cell62
| X69 = cell63
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X70 = cell73
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X70 = cell73
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X70 = cell73
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X70 = cell73
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X69 = cell63
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X69 = cell63
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X69 = cell63
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X70 = cell72
| X69 = cell63
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X70 = cell73
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X70 = cell73
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X70 = cell73
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X70 = cell73
| X69 = cell64
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X69 = cell63
| X70 = cell74
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X69 = cell63
| X70 = cell74
| X69 = cell65 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X69 = cell63
| X69 = cell64
| X70 = cell75 )
& ( ~ epred31_2(X70,X69)
| epred30_2(X70,X69)
| X69 = cell61
| X69 = cell62
| X69 = cell63
| X69 = cell64
| X69 = cell65 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_43,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( ( X1 = cell70
& X2 = cell60 )
| ( X1 = cell69
& X2 = cell59 )
| ( X1 = cell68
& X2 = cell58 )
| ( X1 = cell67
& X2 = cell57 )
| ( X1 = cell66
& X2 = cell56 )
| epred29_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_34,c_0_39]) ).
fof(c_0_44,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_45,plain,
~ epred31_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( ~ epred30_2(X1,X2)
| epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_47,plain,
! [X67,X68] :
( ( epred30_2(X68,X67)
| X68 != cell70
| X67 != cell60 )
& ( epred30_2(X68,X67)
| X68 != cell69
| X67 != cell59 )
& ( epred30_2(X68,X67)
| X68 != cell68
| X67 != cell58 )
& ( epred30_2(X68,X67)
| X68 != cell67
| X67 != cell57 )
& ( epred30_2(X68,X67)
| X68 != cell66
| X67 != cell56 )
& ( epred30_2(X68,X67)
| ~ epred29_2(X68,X67) )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X68 = cell68
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X68 = cell68
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X68 = cell68
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X68 = cell68
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X67 = cell58
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X67 = cell58
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X67 = cell58
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X68 = cell67
| X67 = cell58
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X68 = cell68
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X68 = cell68
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X68 = cell68
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X68 = cell68
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X67 = cell58
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X67 = cell58
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X67 = cell58
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X68 = cell66
| X67 = cell57
| X67 = cell58
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X68 = cell68
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X68 = cell68
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X68 = cell68
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X68 = cell68
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X67 = cell58
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X67 = cell58
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X67 = cell58
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X68 = cell67
| X67 = cell58
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X68 = cell68
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X68 = cell68
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X68 = cell68
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X68 = cell68
| X67 = cell59
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X67 = cell58
| X68 = cell69
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X67 = cell58
| X68 = cell69
| X67 = cell60 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X67 = cell58
| X67 = cell59
| X68 = cell70 )
& ( ~ epred30_2(X68,X67)
| epred29_2(X68,X67)
| X67 = cell56
| X67 = cell57
| X67 = cell58
| X67 = cell59
| X67 = cell60 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
fof(c_0_48,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( ( X1 = cell65
& X2 = cell55 )
| ( X1 = cell64
& X2 = cell54 )
| ( X1 = cell63
& X2 = cell53 )
| ( X1 = cell62
& X2 = cell52 )
| ( X1 = cell61
& X2 = cell51 )
| epred28_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_39,c_0_44]) ).
fof(c_0_49,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_50,plain,
~ epred30_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( ~ epred29_2(X1,X2)
| epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_52,plain,
! [X65,X66] :
( ( epred29_2(X66,X65)
| X66 != cell65
| X65 != cell55 )
& ( epred29_2(X66,X65)
| X66 != cell64
| X65 != cell54 )
& ( epred29_2(X66,X65)
| X66 != cell63
| X65 != cell53 )
& ( epred29_2(X66,X65)
| X66 != cell62
| X65 != cell52 )
& ( epred29_2(X66,X65)
| X66 != cell61
| X65 != cell51 )
& ( epred29_2(X66,X65)
| ~ epred28_2(X66,X65) )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X66 = cell63
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X66 = cell63
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X66 = cell63
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X66 = cell63
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X65 = cell53
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X65 = cell53
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X65 = cell53
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X66 = cell62
| X65 = cell53
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X66 = cell63
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X66 = cell63
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X66 = cell63
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X66 = cell63
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X65 = cell53
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X65 = cell53
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X65 = cell53
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X66 = cell61
| X65 = cell52
| X65 = cell53
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X66 = cell63
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X66 = cell63
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X66 = cell63
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X66 = cell63
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X65 = cell53
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X65 = cell53
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X65 = cell53
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X66 = cell62
| X65 = cell53
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X66 = cell63
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X66 = cell63
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X66 = cell63
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X66 = cell63
| X65 = cell54
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X65 = cell53
| X66 = cell64
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X65 = cell53
| X66 = cell64
| X65 = cell55 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X65 = cell53
| X65 = cell54
| X66 = cell65 )
& ( ~ epred29_2(X66,X65)
| epred28_2(X66,X65)
| X65 = cell51
| X65 = cell52
| X65 = cell53
| X65 = cell54
| X65 = cell55 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
fof(c_0_53,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( ( X1 = cell60
& X2 = cell50 )
| ( X1 = cell59
& X2 = cell49 )
| ( X1 = cell58
& X2 = cell48 )
| ( X1 = cell57
& X2 = cell47 )
| ( X1 = cell56
& X2 = cell46 )
| epred27_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_44,c_0_49]) ).
fof(c_0_54,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_55,plain,
~ epred29_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( ~ epred28_2(X1,X2)
| epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_57,plain,
! [X63,X64] :
( ( epred28_2(X64,X63)
| X64 != cell60
| X63 != cell50 )
& ( epred28_2(X64,X63)
| X64 != cell59
| X63 != cell49 )
& ( epred28_2(X64,X63)
| X64 != cell58
| X63 != cell48 )
& ( epred28_2(X64,X63)
| X64 != cell57
| X63 != cell47 )
& ( epred28_2(X64,X63)
| X64 != cell56
| X63 != cell46 )
& ( epred28_2(X64,X63)
| ~ epred27_2(X64,X63) )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X64 = cell58
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X64 = cell58
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X64 = cell58
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X64 = cell58
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X63 = cell48
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X63 = cell48
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X63 = cell48
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X64 = cell57
| X63 = cell48
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X64 = cell58
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X64 = cell58
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X64 = cell58
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X64 = cell58
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X63 = cell48
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X63 = cell48
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X63 = cell48
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X64 = cell56
| X63 = cell47
| X63 = cell48
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X64 = cell58
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X64 = cell58
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X64 = cell58
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X64 = cell58
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X63 = cell48
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X63 = cell48
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X63 = cell48
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X64 = cell57
| X63 = cell48
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X64 = cell58
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X64 = cell58
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X64 = cell58
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X64 = cell58
| X63 = cell49
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X63 = cell48
| X64 = cell59
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X63 = cell48
| X64 = cell59
| X63 = cell50 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X63 = cell48
| X63 = cell49
| X64 = cell60 )
& ( ~ epred28_2(X64,X63)
| epred27_2(X64,X63)
| X63 = cell46
| X63 = cell47
| X63 = cell48
| X63 = cell49
| X63 = cell50 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
fof(c_0_58,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( ( X1 = cell55
& X2 = cell45 )
| ( X1 = cell54
& X2 = cell44 )
| ( X1 = cell53
& X2 = cell43 )
| ( X1 = cell52
& X2 = cell42 )
| ( X1 = cell51
& X2 = cell41 )
| epred26_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_49,c_0_54]) ).
fof(c_0_59,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_60,plain,
~ epred28_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
( ~ epred27_2(X1,X2)
| epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_62,plain,
! [X61,X62] :
( ( epred27_2(X62,X61)
| X62 != cell55
| X61 != cell45 )
& ( epred27_2(X62,X61)
| X62 != cell54
| X61 != cell44 )
& ( epred27_2(X62,X61)
| X62 != cell53
| X61 != cell43 )
& ( epred27_2(X62,X61)
| X62 != cell52
| X61 != cell42 )
& ( epred27_2(X62,X61)
| X62 != cell51
| X61 != cell41 )
& ( epred27_2(X62,X61)
| ~ epred26_2(X62,X61) )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X62 = cell53
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X62 = cell53
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X62 = cell53
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X62 = cell53
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X61 = cell43
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X61 = cell43
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X61 = cell43
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X62 = cell52
| X61 = cell43
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X62 = cell53
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X62 = cell53
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X62 = cell53
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X62 = cell53
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X61 = cell43
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X61 = cell43
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X61 = cell43
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X62 = cell51
| X61 = cell42
| X61 = cell43
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X62 = cell53
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X62 = cell53
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X62 = cell53
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X62 = cell53
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X61 = cell43
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X61 = cell43
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X61 = cell43
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X62 = cell52
| X61 = cell43
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X62 = cell53
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X62 = cell53
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X62 = cell53
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X62 = cell53
| X61 = cell44
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X61 = cell43
| X62 = cell54
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X61 = cell43
| X62 = cell54
| X61 = cell45 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X61 = cell43
| X61 = cell44
| X62 = cell55 )
& ( ~ epred27_2(X62,X61)
| epred26_2(X62,X61)
| X61 = cell41
| X61 = cell42
| X61 = cell43
| X61 = cell44
| X61 = cell45 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_63,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell40 )
| ( X1 = cell49
& X2 = cell39 )
| ( X1 = cell48
& X2 = cell38 )
| ( X1 = cell47
& X2 = cell37 )
| ( X1 = cell46
& X2 = cell36 )
| epred25_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_54,c_0_59]) ).
fof(c_0_64,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_65,plain,
~ epred27_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( ~ epred26_2(X1,X2)
| epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_67,plain,
! [X59,X60] :
( ( epred26_2(X60,X59)
| X60 != cell50
| X59 != cell40 )
& ( epred26_2(X60,X59)
| X60 != cell49
| X59 != cell39 )
& ( epred26_2(X60,X59)
| X60 != cell48
| X59 != cell38 )
& ( epred26_2(X60,X59)
| X60 != cell47
| X59 != cell37 )
& ( epred26_2(X60,X59)
| X60 != cell46
| X59 != cell36 )
& ( epred26_2(X60,X59)
| ~ epred25_2(X60,X59) )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X60 = cell48
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X60 = cell48
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X60 = cell48
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X60 = cell48
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X59 = cell38
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X59 = cell38
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X59 = cell38
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X60 = cell47
| X59 = cell38
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X60 = cell48
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X60 = cell48
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X60 = cell48
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X60 = cell48
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X59 = cell38
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X59 = cell38
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X59 = cell38
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X60 = cell46
| X59 = cell37
| X59 = cell38
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X60 = cell48
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X60 = cell48
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X60 = cell48
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X60 = cell48
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X59 = cell38
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X59 = cell38
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X59 = cell38
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X60 = cell47
| X59 = cell38
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X60 = cell48
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X60 = cell48
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X60 = cell48
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X60 = cell48
| X59 = cell39
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X59 = cell38
| X60 = cell49
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X59 = cell38
| X60 = cell49
| X59 = cell40 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X59 = cell38
| X59 = cell39
| X60 = cell50 )
& ( ~ epred26_2(X60,X59)
| epred25_2(X60,X59)
| X59 = cell36
| X59 = cell37
| X59 = cell38
| X59 = cell39
| X59 = cell40 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).
fof(c_0_68,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell35 )
| ( X1 = cell44
& X2 = cell34 )
| ( X1 = cell43
& X2 = cell33 )
| ( X1 = cell42
& X2 = cell32 )
| ( X1 = cell41
& X2 = cell31 )
| epred24_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_59,c_0_64]) ).
fof(c_0_69,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_70,plain,
~ epred26_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
( ~ epred25_2(X1,X2)
| epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_72,plain,
! [X57,X58] :
( ( epred25_2(X58,X57)
| X58 != cell45
| X57 != cell35 )
& ( epred25_2(X58,X57)
| X58 != cell44
| X57 != cell34 )
& ( epred25_2(X58,X57)
| X58 != cell43
| X57 != cell33 )
& ( epred25_2(X58,X57)
| X58 != cell42
| X57 != cell32 )
& ( epred25_2(X58,X57)
| X58 != cell41
| X57 != cell31 )
& ( epred25_2(X58,X57)
| ~ epred24_2(X58,X57) )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X58 = cell43
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X58 = cell43
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X58 = cell43
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X58 = cell43
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X57 = cell33
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X57 = cell33
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X57 = cell33
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X58 = cell42
| X57 = cell33
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X58 = cell43
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X58 = cell43
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X58 = cell43
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X58 = cell43
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X57 = cell33
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X57 = cell33
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X57 = cell33
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X58 = cell41
| X57 = cell32
| X57 = cell33
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X58 = cell43
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X58 = cell43
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X58 = cell43
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X58 = cell43
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X57 = cell33
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X57 = cell33
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X57 = cell33
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X58 = cell42
| X57 = cell33
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X58 = cell43
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X58 = cell43
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X58 = cell43
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X58 = cell43
| X57 = cell34
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X57 = cell33
| X58 = cell44
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X57 = cell33
| X58 = cell44
| X57 = cell35 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X57 = cell33
| X57 = cell34
| X58 = cell45 )
& ( ~ epred25_2(X58,X57)
| epred24_2(X58,X57)
| X57 = cell31
| X57 = cell32
| X57 = cell33
| X57 = cell34
| X57 = cell35 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
fof(c_0_73,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( ( X1 = cell40
& X2 = cell30 )
| ( X1 = cell39
& X2 = cell29 )
| ( X1 = cell38
& X2 = cell28 )
| ( X1 = cell37
& X2 = cell27 )
| ( X1 = cell36
& X2 = cell26 )
| epred23_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_64,c_0_69]) ).
fof(c_0_74,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_75,plain,
~ epred25_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
( ~ epred24_2(X1,X2)
| epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_77,plain,
! [X55,X56] :
( ( epred24_2(X56,X55)
| X56 != cell40
| X55 != cell30 )
& ( epred24_2(X56,X55)
| X56 != cell39
| X55 != cell29 )
& ( epred24_2(X56,X55)
| X56 != cell38
| X55 != cell28 )
& ( epred24_2(X56,X55)
| X56 != cell37
| X55 != cell27 )
& ( epred24_2(X56,X55)
| X56 != cell36
| X55 != cell26 )
& ( epred24_2(X56,X55)
| ~ epred23_2(X56,X55) )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X56 = cell38
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X56 = cell38
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X56 = cell38
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X56 = cell38
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X55 = cell28
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X55 = cell28
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X55 = cell28
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X56 = cell37
| X55 = cell28
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X56 = cell38
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X56 = cell38
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X56 = cell38
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X56 = cell38
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X55 = cell28
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X55 = cell28
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X55 = cell28
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X56 = cell36
| X55 = cell27
| X55 = cell28
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X56 = cell38
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X56 = cell38
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X56 = cell38
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X56 = cell38
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X55 = cell28
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X55 = cell28
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X55 = cell28
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X56 = cell37
| X55 = cell28
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X56 = cell38
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X56 = cell38
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X56 = cell38
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X56 = cell38
| X55 = cell29
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X55 = cell28
| X56 = cell39
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X55 = cell28
| X56 = cell39
| X55 = cell30 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X55 = cell28
| X55 = cell29
| X56 = cell40 )
& ( ~ epred24_2(X56,X55)
| epred23_2(X56,X55)
| X55 = cell26
| X55 = cell27
| X55 = cell28
| X55 = cell29
| X55 = cell30 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
fof(c_0_78,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( ( X1 = cell35
& X2 = cell25 )
| ( X1 = cell34
& X2 = cell24 )
| ( X1 = cell33
& X2 = cell23 )
| ( X1 = cell32
& X2 = cell22 )
| ( X1 = cell31
& X2 = cell21 )
| epred22_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_69,c_0_74]) ).
fof(c_0_79,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_80,plain,
~ epred24_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( ~ epred23_2(X1,X2)
| epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_82,plain,
! [X53,X54] :
( ( epred23_2(X54,X53)
| X54 != cell35
| X53 != cell25 )
& ( epred23_2(X54,X53)
| X54 != cell34
| X53 != cell24 )
& ( epred23_2(X54,X53)
| X54 != cell33
| X53 != cell23 )
& ( epred23_2(X54,X53)
| X54 != cell32
| X53 != cell22 )
& ( epred23_2(X54,X53)
| X54 != cell31
| X53 != cell21 )
& ( epred23_2(X54,X53)
| ~ epred22_2(X54,X53) )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X54 = cell33
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X54 = cell33
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X54 = cell33
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X54 = cell33
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X53 = cell23
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X53 = cell23
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X53 = cell23
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X54 = cell32
| X53 = cell23
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X54 = cell33
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X54 = cell33
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X54 = cell33
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X54 = cell33
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X53 = cell23
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X53 = cell23
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X53 = cell23
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X54 = cell31
| X53 = cell22
| X53 = cell23
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X54 = cell33
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X54 = cell33
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X54 = cell33
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X54 = cell33
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X53 = cell23
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X53 = cell23
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X53 = cell23
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X54 = cell32
| X53 = cell23
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X54 = cell33
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X54 = cell33
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X54 = cell33
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X54 = cell33
| X53 = cell24
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X53 = cell23
| X54 = cell34
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X53 = cell23
| X54 = cell34
| X53 = cell25 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X53 = cell23
| X53 = cell24
| X54 = cell35 )
& ( ~ epred23_2(X54,X53)
| epred22_2(X54,X53)
| X53 = cell21
| X53 = cell22
| X53 = cell23
| X53 = cell24
| X53 = cell25 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
fof(c_0_83,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( ( X1 = cell30
& X2 = cell20 )
| ( X1 = cell29
& X2 = cell19 )
| ( X1 = cell28
& X2 = cell18 )
| ( X1 = cell27
& X2 = cell17 )
| ( X1 = cell26
& X2 = cell16 )
| epred21_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_74,c_0_79]) ).
fof(c_0_84,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_85,plain,
~ epred23_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( ~ epred22_2(X1,X2)
| epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_87,plain,
! [X51,X52] :
( ( epred22_2(X52,X51)
| X52 != cell30
| X51 != cell20 )
& ( epred22_2(X52,X51)
| X52 != cell29
| X51 != cell19 )
& ( epred22_2(X52,X51)
| X52 != cell28
| X51 != cell18 )
& ( epred22_2(X52,X51)
| X52 != cell27
| X51 != cell17 )
& ( epred22_2(X52,X51)
| X52 != cell26
| X51 != cell16 )
& ( epred22_2(X52,X51)
| ~ epred21_2(X52,X51) )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X52 = cell28
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X52 = cell28
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X52 = cell28
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X52 = cell28
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X51 = cell18
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X51 = cell18
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X51 = cell18
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X52 = cell27
| X51 = cell18
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X52 = cell28
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X52 = cell28
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X52 = cell28
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X52 = cell28
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X51 = cell18
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X51 = cell18
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X51 = cell18
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X52 = cell26
| X51 = cell17
| X51 = cell18
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X52 = cell28
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X52 = cell28
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X52 = cell28
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X52 = cell28
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X51 = cell18
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X51 = cell18
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X51 = cell18
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X52 = cell27
| X51 = cell18
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X52 = cell28
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X52 = cell28
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X52 = cell28
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X52 = cell28
| X51 = cell19
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X51 = cell18
| X52 = cell29
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X51 = cell18
| X52 = cell29
| X51 = cell20 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X51 = cell18
| X51 = cell19
| X52 = cell30 )
& ( ~ epred22_2(X52,X51)
| epred21_2(X52,X51)
| X51 = cell16
| X51 = cell17
| X51 = cell18
| X51 = cell19
| X51 = cell20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])]) ).
fof(c_0_88,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( ( X1 = cell25
& X2 = cell15 )
| ( X1 = cell24
& X2 = cell14 )
| ( X1 = cell23
& X2 = cell13 )
| ( X1 = cell22
& X2 = cell12 )
| ( X1 = cell21
& X2 = cell11 )
| epred20_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_79,c_0_84]) ).
fof(c_0_89,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_90,plain,
~ epred22_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( ~ epred21_2(X1,X2)
| epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_92,plain,
! [X49,X50] :
( ( epred21_2(X50,X49)
| X50 != cell25
| X49 != cell15 )
& ( epred21_2(X50,X49)
| X50 != cell24
| X49 != cell14 )
& ( epred21_2(X50,X49)
| X50 != cell23
| X49 != cell13 )
& ( epred21_2(X50,X49)
| X50 != cell22
| X49 != cell12 )
& ( epred21_2(X50,X49)
| X50 != cell21
| X49 != cell11 )
& ( epred21_2(X50,X49)
| ~ epred20_2(X50,X49) )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X50 = cell23
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X50 = cell23
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X50 = cell23
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X50 = cell23
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X49 = cell13
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X49 = cell13
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X49 = cell13
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X50 = cell22
| X49 = cell13
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X50 = cell23
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X50 = cell23
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X50 = cell23
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X50 = cell23
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X49 = cell13
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X49 = cell13
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X49 = cell13
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X50 = cell21
| X49 = cell12
| X49 = cell13
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X50 = cell23
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X50 = cell23
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X50 = cell23
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X50 = cell23
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X49 = cell13
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X49 = cell13
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X49 = cell13
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X50 = cell22
| X49 = cell13
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X50 = cell23
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X50 = cell23
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X50 = cell23
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X50 = cell23
| X49 = cell14
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X49 = cell13
| X50 = cell24
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X49 = cell13
| X50 = cell24
| X49 = cell15 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X49 = cell13
| X49 = cell14
| X50 = cell25 )
& ( ~ epred21_2(X50,X49)
| epred20_2(X50,X49)
| X49 = cell11
| X49 = cell12
| X49 = cell13
| X49 = cell14
| X49 = cell15 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).
fof(c_0_93,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( ( X1 = cell20
& X2 = cell10 )
| ( X1 = cell19
& X2 = cell9 )
| ( X1 = cell18
& X2 = cell8 )
| ( X1 = cell17
& X2 = cell7 )
| ( X1 = cell16
& X2 = cell6 )
| epred19_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_84,c_0_89]) ).
fof(c_0_94,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_95,plain,
~ epred21_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( ~ epred20_2(X1,X2)
| epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_97,plain,
! [X47,X48] :
( ( epred20_2(X48,X47)
| X48 != cell20
| X47 != cell10 )
& ( epred20_2(X48,X47)
| X48 != cell19
| X47 != cell9 )
& ( epred20_2(X48,X47)
| X48 != cell18
| X47 != cell8 )
& ( epred20_2(X48,X47)
| X48 != cell17
| X47 != cell7 )
& ( epred20_2(X48,X47)
| X48 != cell16
| X47 != cell6 )
& ( epred20_2(X48,X47)
| ~ epred19_2(X48,X47) )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X48 = cell18
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X48 = cell18
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X48 = cell18
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X48 = cell18
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X47 = cell8
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X47 = cell8
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X47 = cell8
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X48 = cell17
| X47 = cell8
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X48 = cell18
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X48 = cell18
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X48 = cell18
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X48 = cell18
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X47 = cell8
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X47 = cell8
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X47 = cell8
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X48 = cell16
| X47 = cell7
| X47 = cell8
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X48 = cell18
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X48 = cell18
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X48 = cell18
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X48 = cell18
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X47 = cell8
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X47 = cell8
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X47 = cell8
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X48 = cell17
| X47 = cell8
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X48 = cell18
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X48 = cell18
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X48 = cell18
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X48 = cell18
| X47 = cell9
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X47 = cell8
| X48 = cell19
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X47 = cell8
| X48 = cell19
| X47 = cell10 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X47 = cell8
| X47 = cell9
| X48 = cell20 )
& ( ~ epred20_2(X48,X47)
| epred19_2(X48,X47)
| X47 = cell6
| X47 = cell7
| X47 = cell8
| X47 = cell9
| X47 = cell10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
fof(c_0_98,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( ( X1 = cell15
& X2 = cell5 )
| ( X1 = cell14
& X2 = cell4 )
| ( X1 = cell13
& X2 = cell3 )
| ( X1 = cell12
& X2 = cell2 )
| ( X1 = cell11
& X2 = cell1 )
| epred18_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_89,c_0_94]) ).
fof(c_0_99,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_100,plain,
~ epred20_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( ~ epred19_2(X1,X2)
| epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_102,plain,
! [X45,X46] :
( ( epred19_2(X46,X45)
| X46 != cell15
| X45 != cell5 )
& ( epred19_2(X46,X45)
| X46 != cell14
| X45 != cell4 )
& ( epred19_2(X46,X45)
| X46 != cell13
| X45 != cell3 )
& ( epred19_2(X46,X45)
| X46 != cell12
| X45 != cell2 )
& ( epred19_2(X46,X45)
| X46 != cell11
| X45 != cell1 )
& ( epred19_2(X46,X45)
| ~ epred18_2(X46,X45) )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X46 = cell13
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X46 = cell13
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X46 = cell13
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X46 = cell13
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X45 = cell3
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X45 = cell3
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X45 = cell3
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X46 = cell12
| X45 = cell3
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X46 = cell13
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X46 = cell13
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X46 = cell13
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X46 = cell13
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X45 = cell3
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X45 = cell3
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X45 = cell3
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X46 = cell11
| X45 = cell2
| X45 = cell3
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X46 = cell13
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X46 = cell13
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X46 = cell13
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X46 = cell13
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X45 = cell3
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X45 = cell3
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X45 = cell3
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X46 = cell12
| X45 = cell3
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X46 = cell13
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X46 = cell13
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X46 = cell13
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X46 = cell13
| X45 = cell4
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X45 = cell3
| X46 = cell14
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X45 = cell3
| X46 = cell14
| X45 = cell5 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X45 = cell3
| X45 = cell4
| X46 = cell15 )
& ( ~ epred19_2(X46,X45)
| epred18_2(X46,X45)
| X45 = cell1
| X45 = cell2
| X45 = cell3
| X45 = cell4
| X45 = cell5 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])])]) ).
fof(c_0_103,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X1 = cell100
& X2 = cell99 )
| ( X1 = cell99
& X2 = cell98 )
| ( X1 = cell98
& X2 = cell97 )
| ( X1 = cell97
& X2 = cell96 )
| ( X1 = cell96
& X2 = cell95 )
| epred17_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_94,c_0_99]) ).
fof(c_0_104,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_105,plain,
~ epred19_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( ~ epred18_2(X1,X2)
| epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_107,plain,
! [X43,X44] :
( ( epred18_2(X44,X43)
| X44 != cell100
| X43 != cell99 )
& ( epred18_2(X44,X43)
| X44 != cell99
| X43 != cell98 )
& ( epred18_2(X44,X43)
| X44 != cell98
| X43 != cell97 )
& ( epred18_2(X44,X43)
| X44 != cell97
| X43 != cell96 )
& ( epred18_2(X44,X43)
| X44 != cell96
| X43 != cell95 )
& ( epred18_2(X44,X43)
| ~ epred17_2(X44,X43) )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X44 = cell98
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X44 = cell98
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X44 = cell98
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X44 = cell98
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X43 = cell97
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X43 = cell97
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X43 = cell97
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X44 = cell97
| X43 = cell97
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X44 = cell98
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X44 = cell98
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X44 = cell98
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X44 = cell98
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X43 = cell97
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X43 = cell97
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X43 = cell97
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X44 = cell96
| X43 = cell96
| X43 = cell97
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X44 = cell98
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X44 = cell98
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X44 = cell98
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X44 = cell98
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X43 = cell97
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X43 = cell97
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X43 = cell97
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X44 = cell97
| X43 = cell97
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X44 = cell98
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X44 = cell98
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X44 = cell98
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X44 = cell98
| X43 = cell98
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X43 = cell97
| X44 = cell99
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X43 = cell97
| X44 = cell99
| X43 = cell99 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X43 = cell97
| X43 = cell98
| X44 = cell100 )
& ( ~ epred18_2(X44,X43)
| epred17_2(X44,X43)
| X43 = cell95
| X43 = cell96
| X43 = cell97
| X43 = cell98
| X43 = cell99 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])]) ).
fof(c_0_108,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X1 = cell95
& X2 = cell94 )
| ( X1 = cell94
& X2 = cell93 )
| ( X1 = cell93
& X2 = cell92 )
| ( X1 = cell92
& X2 = cell91 )
| ( X1 = cell90
& X2 = cell89 )
| epred16_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_99,c_0_104]) ).
fof(c_0_109,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_110,plain,
~ epred18_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
( ~ epred17_2(X1,X2)
| epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
fof(c_0_112,plain,
! [X41,X42] :
( ( epred17_2(X42,X41)
| X42 != cell95
| X41 != cell94 )
& ( epred17_2(X42,X41)
| X42 != cell94
| X41 != cell93 )
& ( epred17_2(X42,X41)
| X42 != cell93
| X41 != cell92 )
& ( epred17_2(X42,X41)
| X42 != cell92
| X41 != cell91 )
& ( epred17_2(X42,X41)
| X42 != cell90
| X41 != cell89 )
& ( epred17_2(X42,X41)
| ~ epred16_2(X42,X41) )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X42 = cell93
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X42 = cell93
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X42 = cell93
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X42 = cell93
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X41 = cell92
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X41 = cell92
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X41 = cell92
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X42 = cell92
| X41 = cell92
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X42 = cell93
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X42 = cell93
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X42 = cell93
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X42 = cell93
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X41 = cell92
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X41 = cell92
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X41 = cell92
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X42 = cell90
| X41 = cell91
| X41 = cell92
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X42 = cell93
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X42 = cell93
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X42 = cell93
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X42 = cell93
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X41 = cell92
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X41 = cell92
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X41 = cell92
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X42 = cell92
| X41 = cell92
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X42 = cell93
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X42 = cell93
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X42 = cell93
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X42 = cell93
| X41 = cell93
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X41 = cell92
| X42 = cell94
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X41 = cell92
| X42 = cell94
| X41 = cell94 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X41 = cell92
| X41 = cell93
| X42 = cell95 )
& ( ~ epred17_2(X42,X41)
| epred16_2(X42,X41)
| X41 = cell89
| X41 = cell91
| X41 = cell92
| X41 = cell93
| X41 = cell94 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])]) ).
fof(c_0_113,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X1 = cell89
& X2 = cell88 )
| ( X1 = cell88
& X2 = cell87 )
| ( X1 = cell87
& X2 = cell86 )
| ( X1 = cell86
& X2 = cell85 )
| ( X1 = cell85
& X2 = cell84 )
| epred15_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_104,c_0_109]) ).
fof(c_0_114,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_115,plain,
~ epred17_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( ~ epred16_2(X1,X2)
| epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
fof(c_0_117,plain,
! [X39,X40] :
( ( epred16_2(X40,X39)
| X40 != cell89
| X39 != cell88 )
& ( epred16_2(X40,X39)
| X40 != cell88
| X39 != cell87 )
& ( epred16_2(X40,X39)
| X40 != cell87
| X39 != cell86 )
& ( epred16_2(X40,X39)
| X40 != cell86
| X39 != cell85 )
& ( epred16_2(X40,X39)
| X40 != cell85
| X39 != cell84 )
& ( epred16_2(X40,X39)
| ~ epred15_2(X40,X39) )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X40 = cell87
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X40 = cell87
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X40 = cell87
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X40 = cell87
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X39 = cell86
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X39 = cell86
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X39 = cell86
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X40 = cell86
| X39 = cell86
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X40 = cell87
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X40 = cell87
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X40 = cell87
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X40 = cell87
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X39 = cell86
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X39 = cell86
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X39 = cell86
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X40 = cell85
| X39 = cell85
| X39 = cell86
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X40 = cell87
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X40 = cell87
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X40 = cell87
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X40 = cell87
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X39 = cell86
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X39 = cell86
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X39 = cell86
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X40 = cell86
| X39 = cell86
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X40 = cell87
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X40 = cell87
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X40 = cell87
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X40 = cell87
| X39 = cell87
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X39 = cell86
| X40 = cell88
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X39 = cell86
| X40 = cell88
| X39 = cell88 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X39 = cell86
| X39 = cell87
| X40 = cell89 )
& ( ~ epred16_2(X40,X39)
| epred15_2(X40,X39)
| X39 = cell84
| X39 = cell85
| X39 = cell86
| X39 = cell87
| X39 = cell88 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])])]) ).
fof(c_0_118,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X1 = cell84
& X2 = cell83 )
| ( X1 = cell83
& X2 = cell82 )
| ( X1 = cell82
& X2 = cell81 )
| ( X1 = cell80
& X2 = cell79 )
| ( X1 = cell79
& X2 = cell78 )
| epred14_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_109,c_0_114]) ).
fof(c_0_119,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_120,plain,
~ epred16_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
( ~ epred15_2(X1,X2)
| epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
fof(c_0_122,plain,
! [X37,X38] :
( ( epred15_2(X38,X37)
| X38 != cell84
| X37 != cell83 )
& ( epred15_2(X38,X37)
| X38 != cell83
| X37 != cell82 )
& ( epred15_2(X38,X37)
| X38 != cell82
| X37 != cell81 )
& ( epred15_2(X38,X37)
| X38 != cell80
| X37 != cell79 )
& ( epred15_2(X38,X37)
| X38 != cell79
| X37 != cell78 )
& ( epred15_2(X38,X37)
| ~ epred14_2(X38,X37) )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X38 = cell82
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X38 = cell82
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X38 = cell82
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X38 = cell82
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X37 = cell81
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X37 = cell81
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X37 = cell81
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X38 = cell80
| X37 = cell81
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X38 = cell82
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X38 = cell82
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X38 = cell82
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X38 = cell82
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X37 = cell81
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X37 = cell81
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X37 = cell81
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X38 = cell79
| X37 = cell79
| X37 = cell81
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X38 = cell82
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X38 = cell82
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X38 = cell82
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X38 = cell82
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X37 = cell81
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X37 = cell81
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X37 = cell81
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X38 = cell80
| X37 = cell81
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X38 = cell82
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X38 = cell82
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X38 = cell82
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X38 = cell82
| X37 = cell82
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X37 = cell81
| X38 = cell83
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X37 = cell81
| X38 = cell83
| X37 = cell83 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X37 = cell81
| X37 = cell82
| X38 = cell84 )
& ( ~ epred15_2(X38,X37)
| epred14_2(X38,X37)
| X37 = cell78
| X37 = cell79
| X37 = cell81
| X37 = cell82
| X37 = cell83 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])]) ).
fof(c_0_123,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X1 = cell78
& X2 = cell77 )
| ( X1 = cell77
& X2 = cell76 )
| ( X1 = cell76
& X2 = cell75 )
| ( X1 = cell75
& X2 = cell74 )
| ( X1 = cell74
& X2 = cell73 )
| epred13_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_114,c_0_119]) ).
fof(c_0_124,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_125,plain,
~ epred15_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_126,plain,
( ~ epred14_2(X1,X2)
| epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_127,plain,
! [X35,X36] :
( ( epred14_2(X36,X35)
| X36 != cell78
| X35 != cell77 )
& ( epred14_2(X36,X35)
| X36 != cell77
| X35 != cell76 )
& ( epred14_2(X36,X35)
| X36 != cell76
| X35 != cell75 )
& ( epred14_2(X36,X35)
| X36 != cell75
| X35 != cell74 )
& ( epred14_2(X36,X35)
| X36 != cell74
| X35 != cell73 )
& ( epred14_2(X36,X35)
| ~ epred13_2(X36,X35) )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X36 = cell76
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X36 = cell76
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X36 = cell76
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X36 = cell76
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X35 = cell75
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X35 = cell75
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X35 = cell75
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X36 = cell75
| X35 = cell75
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X36 = cell76
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X36 = cell76
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X36 = cell76
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X36 = cell76
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X35 = cell75
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X35 = cell75
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X35 = cell75
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X36 = cell74
| X35 = cell74
| X35 = cell75
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X36 = cell76
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X36 = cell76
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X36 = cell76
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X36 = cell76
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X35 = cell75
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X35 = cell75
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X35 = cell75
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X36 = cell75
| X35 = cell75
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X36 = cell76
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X36 = cell76
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X36 = cell76
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X36 = cell76
| X35 = cell76
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X35 = cell75
| X36 = cell77
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X35 = cell75
| X36 = cell77
| X35 = cell77 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X35 = cell75
| X35 = cell76
| X36 = cell78 )
& ( ~ epred14_2(X36,X35)
| epred13_2(X36,X35)
| X35 = cell73
| X35 = cell74
| X35 = cell75
| X35 = cell76
| X35 = cell77 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])]) ).
fof(c_0_128,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X1 = cell73
& X2 = cell72 )
| ( X1 = cell72
& X2 = cell71 )
| ( X1 = cell70
& X2 = cell69 )
| ( X1 = cell69
& X2 = cell68 )
| ( X1 = cell68
& X2 = cell67 )
| epred12_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_119,c_0_124]) ).
fof(c_0_129,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_130,plain,
~ epred14_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,plain,
( ~ epred13_2(X1,X2)
| epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_132,plain,
! [X33,X34] :
( ( epred13_2(X34,X33)
| X34 != cell73
| X33 != cell72 )
& ( epred13_2(X34,X33)
| X34 != cell72
| X33 != cell71 )
& ( epred13_2(X34,X33)
| X34 != cell70
| X33 != cell69 )
& ( epred13_2(X34,X33)
| X34 != cell69
| X33 != cell68 )
& ( epred13_2(X34,X33)
| X34 != cell68
| X33 != cell67 )
& ( epred13_2(X34,X33)
| ~ epred12_2(X34,X33) )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X34 = cell70
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X34 = cell70
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X34 = cell70
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X34 = cell70
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X33 = cell69
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X33 = cell69
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X33 = cell69
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X34 = cell69
| X33 = cell69
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X34 = cell70
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X34 = cell70
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X34 = cell70
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X34 = cell70
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X33 = cell69
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X33 = cell69
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X33 = cell69
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X34 = cell68
| X33 = cell68
| X33 = cell69
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X34 = cell70
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X34 = cell70
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X34 = cell70
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X34 = cell70
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X33 = cell69
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X33 = cell69
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X33 = cell69
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X34 = cell69
| X33 = cell69
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X34 = cell70
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X34 = cell70
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X34 = cell70
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X34 = cell70
| X33 = cell71
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X33 = cell69
| X34 = cell72
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X33 = cell69
| X34 = cell72
| X33 = cell72 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X33 = cell69
| X33 = cell71
| X34 = cell73 )
& ( ~ epred13_2(X34,X33)
| epred12_2(X34,X33)
| X33 = cell67
| X33 = cell68
| X33 = cell69
| X33 = cell71
| X33 = cell72 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])])]) ).
fof(c_0_133,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X1 = cell67
& X2 = cell66 )
| ( X1 = cell66
& X2 = cell65 )
| ( X1 = cell65
& X2 = cell64 )
| ( X1 = cell64
& X2 = cell63 )
| ( X1 = cell63
& X2 = cell62 )
| epred11_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_124,c_0_129]) ).
fof(c_0_134,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_135,plain,
~ epred13_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( ~ epred12_2(X1,X2)
| epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
fof(c_0_137,plain,
! [X31,X32] :
( ( epred12_2(X32,X31)
| X32 != cell67
| X31 != cell66 )
& ( epred12_2(X32,X31)
| X32 != cell66
| X31 != cell65 )
& ( epred12_2(X32,X31)
| X32 != cell65
| X31 != cell64 )
& ( epred12_2(X32,X31)
| X32 != cell64
| X31 != cell63 )
& ( epred12_2(X32,X31)
| X32 != cell63
| X31 != cell62 )
& ( epred12_2(X32,X31)
| ~ epred11_2(X32,X31) )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X32 = cell65
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X32 = cell65
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X32 = cell65
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X32 = cell65
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X31 = cell64
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X31 = cell64
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X31 = cell64
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X32 = cell64
| X31 = cell64
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X32 = cell65
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X32 = cell65
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X32 = cell65
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X32 = cell65
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X31 = cell64
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X31 = cell64
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X31 = cell64
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X32 = cell63
| X31 = cell63
| X31 = cell64
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X32 = cell65
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X32 = cell65
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X32 = cell65
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X32 = cell65
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X31 = cell64
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X31 = cell64
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X31 = cell64
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X32 = cell64
| X31 = cell64
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X32 = cell65
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X32 = cell65
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X32 = cell65
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X32 = cell65
| X31 = cell65
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X31 = cell64
| X32 = cell66
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X31 = cell64
| X32 = cell66
| X31 = cell66 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X31 = cell64
| X31 = cell65
| X32 = cell67 )
& ( ~ epred12_2(X32,X31)
| epred11_2(X32,X31)
| X31 = cell62
| X31 = cell63
| X31 = cell64
| X31 = cell65
| X31 = cell66 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])]) ).
fof(c_0_138,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X1 = cell62
& X2 = cell61 )
| ( X1 = cell60
& X2 = cell59 )
| ( X1 = cell59
& X2 = cell58 )
| ( X1 = cell58
& X2 = cell57 )
| ( X1 = cell57
& X2 = cell56 )
| epred10_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_129,c_0_134]) ).
fof(c_0_139,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_140,plain,
~ epred12_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,plain,
( ~ epred11_2(X1,X2)
| epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
fof(c_0_142,plain,
! [X29,X30] :
( ( epred11_2(X30,X29)
| X30 != cell62
| X29 != cell61 )
& ( epred11_2(X30,X29)
| X30 != cell60
| X29 != cell59 )
& ( epred11_2(X30,X29)
| X30 != cell59
| X29 != cell58 )
& ( epred11_2(X30,X29)
| X30 != cell58
| X29 != cell57 )
& ( epred11_2(X30,X29)
| X30 != cell57
| X29 != cell56 )
& ( epred11_2(X30,X29)
| ~ epred10_2(X30,X29) )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X30 = cell59
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X30 = cell59
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X30 = cell59
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X30 = cell59
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X29 = cell58
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X29 = cell58
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X29 = cell58
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X30 = cell58
| X29 = cell58
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X30 = cell59
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X30 = cell59
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X30 = cell59
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X30 = cell59
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X29 = cell58
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X29 = cell58
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X29 = cell58
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X30 = cell57
| X29 = cell57
| X29 = cell58
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X30 = cell59
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X30 = cell59
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X30 = cell59
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X30 = cell59
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X29 = cell58
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X29 = cell58
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X29 = cell58
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X30 = cell58
| X29 = cell58
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X30 = cell59
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X30 = cell59
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X30 = cell59
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X30 = cell59
| X29 = cell59
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X29 = cell58
| X30 = cell60
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X29 = cell58
| X30 = cell60
| X29 = cell61 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X29 = cell58
| X29 = cell59
| X30 = cell62 )
& ( ~ epred11_2(X30,X29)
| epred10_2(X30,X29)
| X29 = cell56
| X29 = cell57
| X29 = cell58
| X29 = cell59
| X29 = cell61 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])])]) ).
fof(c_0_143,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X1 = cell56
& X2 = cell55 )
| ( X1 = cell55
& X2 = cell54 )
| ( X1 = cell54
& X2 = cell53 )
| ( X1 = cell53
& X2 = cell52 )
| ( X1 = cell52
& X2 = cell51 )
| epred9_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_134,c_0_139]) ).
fof(c_0_144,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_145,plain,
~ epred11_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_146,plain,
( ~ epred10_2(X1,X2)
| epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
fof(c_0_147,plain,
! [X27,X28] :
( ( epred10_2(X28,X27)
| X28 != cell56
| X27 != cell55 )
& ( epred10_2(X28,X27)
| X28 != cell55
| X27 != cell54 )
& ( epred10_2(X28,X27)
| X28 != cell54
| X27 != cell53 )
& ( epred10_2(X28,X27)
| X28 != cell53
| X27 != cell52 )
& ( epred10_2(X28,X27)
| X28 != cell52
| X27 != cell51 )
& ( epred10_2(X28,X27)
| ~ epred9_2(X28,X27) )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X28 = cell54
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X28 = cell54
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X28 = cell54
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X28 = cell54
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X27 = cell53
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X27 = cell53
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X27 = cell53
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X28 = cell53
| X27 = cell53
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X28 = cell54
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X28 = cell54
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X28 = cell54
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X28 = cell54
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X27 = cell53
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X27 = cell53
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X27 = cell53
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X28 = cell52
| X27 = cell52
| X27 = cell53
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X28 = cell54
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X28 = cell54
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X28 = cell54
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X28 = cell54
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X27 = cell53
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X27 = cell53
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X27 = cell53
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X28 = cell53
| X27 = cell53
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X28 = cell54
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X28 = cell54
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X28 = cell54
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X28 = cell54
| X27 = cell54
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X27 = cell53
| X28 = cell55
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X27 = cell53
| X28 = cell55
| X27 = cell55 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X27 = cell53
| X27 = cell54
| X28 = cell56 )
& ( ~ epred10_2(X28,X27)
| epred9_2(X28,X27)
| X27 = cell51
| X27 = cell52
| X27 = cell53
| X27 = cell54
| X27 = cell55 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])])]) ).
fof(c_0_148,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X1 = cell50
& X2 = cell49 )
| ( X1 = cell49
& X2 = cell48 )
| ( X1 = cell48
& X2 = cell47 )
| ( X1 = cell47
& X2 = cell46 )
| ( X1 = cell46
& X2 = cell45 )
| epred8_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_139,c_0_144]) ).
fof(c_0_149,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_150,plain,
~ epred10_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( ~ epred9_2(X1,X2)
| epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
fof(c_0_152,plain,
! [X25,X26] :
( ( epred9_2(X26,X25)
| X26 != cell50
| X25 != cell49 )
& ( epred9_2(X26,X25)
| X26 != cell49
| X25 != cell48 )
& ( epred9_2(X26,X25)
| X26 != cell48
| X25 != cell47 )
& ( epred9_2(X26,X25)
| X26 != cell47
| X25 != cell46 )
& ( epred9_2(X26,X25)
| X26 != cell46
| X25 != cell45 )
& ( epred9_2(X26,X25)
| ~ epred8_2(X26,X25) )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X26 = cell48
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X26 = cell48
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X26 = cell48
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X26 = cell48
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X25 = cell47
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X25 = cell47
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X25 = cell47
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X26 = cell47
| X25 = cell47
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X26 = cell48
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X26 = cell48
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X26 = cell48
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X26 = cell48
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X25 = cell47
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X25 = cell47
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X25 = cell47
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X26 = cell46
| X25 = cell46
| X25 = cell47
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X26 = cell48
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X26 = cell48
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X26 = cell48
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X26 = cell48
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X25 = cell47
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X25 = cell47
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X25 = cell47
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X26 = cell47
| X25 = cell47
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X26 = cell48
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X26 = cell48
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X26 = cell48
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X26 = cell48
| X25 = cell48
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X25 = cell47
| X26 = cell49
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X25 = cell47
| X26 = cell49
| X25 = cell49 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X25 = cell47
| X25 = cell48
| X26 = cell50 )
& ( ~ epred9_2(X26,X25)
| epred8_2(X26,X25)
| X25 = cell45
| X25 = cell46
| X25 = cell47
| X25 = cell48
| X25 = cell49 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])])]) ).
fof(c_0_153,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X1 = cell45
& X2 = cell44 )
| ( X1 = cell44
& X2 = cell43 )
| ( X1 = cell43
& X2 = cell42 )
| ( X1 = cell42
& X2 = cell41 )
| ( X1 = cell40
& X2 = cell39 )
| epred7_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_144,c_0_149]) ).
fof(c_0_154,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_155,plain,
~ epred9_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_156,plain,
( ~ epred8_2(X1,X2)
| epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
fof(c_0_157,plain,
! [X23,X24] :
( ( epred8_2(X24,X23)
| X24 != cell45
| X23 != cell44 )
& ( epred8_2(X24,X23)
| X24 != cell44
| X23 != cell43 )
& ( epred8_2(X24,X23)
| X24 != cell43
| X23 != cell42 )
& ( epred8_2(X24,X23)
| X24 != cell42
| X23 != cell41 )
& ( epred8_2(X24,X23)
| X24 != cell40
| X23 != cell39 )
& ( epred8_2(X24,X23)
| ~ epred7_2(X24,X23) )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X24 = cell43
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X24 = cell43
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X24 = cell43
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X24 = cell43
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X23 = cell42
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X23 = cell42
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X23 = cell42
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X24 = cell42
| X23 = cell42
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X24 = cell43
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X24 = cell43
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X24 = cell43
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X24 = cell43
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X23 = cell42
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X23 = cell42
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X23 = cell42
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X24 = cell40
| X23 = cell41
| X23 = cell42
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X24 = cell43
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X24 = cell43
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X24 = cell43
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X24 = cell43
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X23 = cell42
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X23 = cell42
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X23 = cell42
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X24 = cell42
| X23 = cell42
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X24 = cell43
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X24 = cell43
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X24 = cell43
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X24 = cell43
| X23 = cell43
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X23 = cell42
| X24 = cell44
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X23 = cell42
| X24 = cell44
| X23 = cell44 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X23 = cell42
| X23 = cell43
| X24 = cell45 )
& ( ~ epred8_2(X24,X23)
| epred7_2(X24,X23)
| X23 = cell39
| X23 = cell41
| X23 = cell42
| X23 = cell43
| X23 = cell44 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])])])]) ).
fof(c_0_158,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X1 = cell39
& X2 = cell38 )
| ( X1 = cell38
& X2 = cell37 )
| ( X1 = cell37
& X2 = cell36 )
| ( X1 = cell36
& X2 = cell35 )
| ( X1 = cell35
& X2 = cell34 )
| epred6_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_149,c_0_154]) ).
fof(c_0_159,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_160,plain,
~ epred8_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( ~ epred7_2(X1,X2)
| epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
fof(c_0_162,plain,
! [X21,X22] :
( ( epred7_2(X22,X21)
| X22 != cell39
| X21 != cell38 )
& ( epred7_2(X22,X21)
| X22 != cell38
| X21 != cell37 )
& ( epred7_2(X22,X21)
| X22 != cell37
| X21 != cell36 )
& ( epred7_2(X22,X21)
| X22 != cell36
| X21 != cell35 )
& ( epred7_2(X22,X21)
| X22 != cell35
| X21 != cell34 )
& ( epred7_2(X22,X21)
| ~ epred6_2(X22,X21) )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X22 = cell37
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X22 = cell37
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X22 = cell37
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X22 = cell37
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X21 = cell36
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X21 = cell36
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X21 = cell36
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X22 = cell36
| X21 = cell36
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X22 = cell37
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X22 = cell37
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X22 = cell37
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X22 = cell37
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X21 = cell36
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X21 = cell36
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X21 = cell36
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X22 = cell35
| X21 = cell35
| X21 = cell36
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X22 = cell37
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X22 = cell37
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X22 = cell37
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X22 = cell37
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X21 = cell36
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X21 = cell36
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X21 = cell36
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X22 = cell36
| X21 = cell36
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X22 = cell37
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X22 = cell37
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X22 = cell37
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X22 = cell37
| X21 = cell37
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X21 = cell36
| X22 = cell38
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X21 = cell36
| X22 = cell38
| X21 = cell38 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X21 = cell36
| X21 = cell37
| X22 = cell39 )
& ( ~ epred7_2(X22,X21)
| epred6_2(X22,X21)
| X21 = cell34
| X21 = cell35
| X21 = cell36
| X21 = cell37
| X21 = cell38 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_158])])])]) ).
fof(c_0_163,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X1 = cell34
& X2 = cell33 )
| ( X1 = cell33
& X2 = cell32 )
| ( X1 = cell32
& X2 = cell31 )
| ( X1 = cell30
& X2 = cell29 )
| ( X1 = cell29
& X2 = cell28 )
| epred5_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_154,c_0_159]) ).
fof(c_0_164,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_165,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
fof(c_0_166,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X1 = cell12
& X2 = cell11 )
| ( X1 = cell10
& X2 = cell9 )
| ( X1 = cell9
& X2 = cell8 )
| ( X1 = cell8
& X2 = cell7 )
| ( X1 = cell7
& X2 = cell6 )
| ( X1 = cell6
& X2 = cell5 )
| ( X1 = cell5
& X2 = cell4 )
| ( X1 = cell4
& X2 = cell3 )
| ( X1 = cell3
& X2 = cell2 )
| ( X1 = cell2
& X2 = cell1 ) ) ),
introduced(definition) ).
cnf(c_0_167,plain,
~ epred7_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_168,plain,
( ~ epred6_2(X1,X2)
| epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
fof(c_0_169,plain,
! [X19,X20] :
( ( epred6_2(X20,X19)
| X20 != cell34
| X19 != cell33 )
& ( epred6_2(X20,X19)
| X20 != cell33
| X19 != cell32 )
& ( epred6_2(X20,X19)
| X20 != cell32
| X19 != cell31 )
& ( epred6_2(X20,X19)
| X20 != cell30
| X19 != cell29 )
& ( epred6_2(X20,X19)
| X20 != cell29
| X19 != cell28 )
& ( epred6_2(X20,X19)
| ~ epred5_2(X20,X19) )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X20 = cell32
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X20 = cell32
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X20 = cell32
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X20 = cell32
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X19 = cell31
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X19 = cell31
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X19 = cell31
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X20 = cell30
| X19 = cell31
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X20 = cell32
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X20 = cell32
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X20 = cell32
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X20 = cell32
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X19 = cell31
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X19 = cell31
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X19 = cell31
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X20 = cell29
| X19 = cell29
| X19 = cell31
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X20 = cell32
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X20 = cell32
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X20 = cell32
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X20 = cell32
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X19 = cell31
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X19 = cell31
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X19 = cell31
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X20 = cell30
| X19 = cell31
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X20 = cell32
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X20 = cell32
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X20 = cell32
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X20 = cell32
| X19 = cell32
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X19 = cell31
| X20 = cell33
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X19 = cell31
| X20 = cell33
| X19 = cell33 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X19 = cell31
| X19 = cell32
| X20 = cell34 )
& ( ~ epred6_2(X20,X19)
| epred5_2(X20,X19)
| X19 = cell28
| X19 = cell29
| X19 = cell31
| X19 = cell32
| X19 = cell33 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_163])])])]) ).
fof(c_0_170,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X1 = cell28
& X2 = cell27 )
| ( X1 = cell27
& X2 = cell26 )
| ( X1 = cell26
& X2 = cell25 )
| ( X1 = cell25
& X2 = cell24 )
| ( X1 = cell24
& X2 = cell23 )
| epred4_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_159,c_0_164]) ).
fof(c_0_171,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X1 = cell17
& X2 = cell16 )
| ( X1 = cell16
& X2 = cell15 )
| ( X1 = cell15
& X2 = cell14 )
| ( X1 = cell14
& X2 = cell13 )
| ( X1 = cell13
& X2 = cell12 )
| epred2_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_172,plain,
~ epred6_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_173,plain,
( ~ epred5_2(X1,X2)
| epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
fof(c_0_174,plain,
! [X17,X18] :
( ( epred5_2(X18,X17)
| X18 != cell28
| X17 != cell27 )
& ( epred5_2(X18,X17)
| X18 != cell27
| X17 != cell26 )
& ( epred5_2(X18,X17)
| X18 != cell26
| X17 != cell25 )
& ( epred5_2(X18,X17)
| X18 != cell25
| X17 != cell24 )
& ( epred5_2(X18,X17)
| X18 != cell24
| X17 != cell23 )
& ( epred5_2(X18,X17)
| ~ epred4_2(X18,X17) )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X18 = cell26
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X18 = cell26
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X18 = cell26
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X18 = cell26
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X17 = cell25
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X17 = cell25
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X17 = cell25
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X18 = cell25
| X17 = cell25
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X18 = cell26
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X18 = cell26
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X18 = cell26
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X18 = cell26
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X17 = cell25
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X17 = cell25
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X17 = cell25
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X18 = cell24
| X17 = cell24
| X17 = cell25
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X18 = cell26
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X18 = cell26
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X18 = cell26
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X18 = cell26
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X17 = cell25
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X17 = cell25
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X17 = cell25
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X18 = cell25
| X17 = cell25
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X18 = cell26
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X18 = cell26
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X18 = cell26
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X18 = cell26
| X17 = cell26
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X17 = cell25
| X18 = cell27
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X17 = cell25
| X18 = cell27
| X17 = cell27 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X17 = cell25
| X17 = cell26
| X18 = cell28 )
& ( ~ epred5_2(X18,X17)
| epred4_2(X18,X17)
| X17 = cell23
| X17 = cell24
| X17 = cell25
| X17 = cell26
| X17 = cell27 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_170])])])]) ).
fof(c_0_175,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X1 = cell23
& X2 = cell22 )
| ( X1 = cell22
& X2 = cell21 )
| ( X1 = cell20
& X2 = cell19 )
| ( X1 = cell19
& X2 = cell18 )
| ( X1 = cell18
& X2 = cell17 )
| epred3_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_164,c_0_165]) ).
fof(c_0_176,plain,
! [X13,X14] :
( ( epred3_2(X14,X13)
| X14 != cell17
| X13 != cell16 )
& ( epred3_2(X14,X13)
| X14 != cell16
| X13 != cell15 )
& ( epred3_2(X14,X13)
| X14 != cell15
| X13 != cell14 )
& ( epred3_2(X14,X13)
| X14 != cell14
| X13 != cell13 )
& ( epred3_2(X14,X13)
| X14 != cell13
| X13 != cell12 )
& ( epred3_2(X14,X13)
| ~ epred2_2(X14,X13) )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X14 = cell15
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X14 = cell15
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X14 = cell15
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X14 = cell15
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X13 = cell14
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X13 = cell14
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X13 = cell14
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X14 = cell14
| X13 = cell14
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X14 = cell15
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X14 = cell15
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X14 = cell15
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X14 = cell15
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X13 = cell14
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X13 = cell14
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X13 = cell14
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X14 = cell13
| X13 = cell13
| X13 = cell14
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X14 = cell15
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X14 = cell15
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X14 = cell15
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X14 = cell15
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X13 = cell14
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X13 = cell14
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X13 = cell14
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X14 = cell14
| X13 = cell14
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X14 = cell15
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X14 = cell15
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X14 = cell15
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X14 = cell15
| X13 = cell15
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X13 = cell14
| X14 = cell16
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X13 = cell14
| X14 = cell16
| X13 = cell16 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X13 = cell14
| X13 = cell15
| X14 = cell17 )
& ( ~ epred3_2(X14,X13)
| epred2_2(X14,X13)
| X13 = cell12
| X13 = cell13
| X13 = cell14
| X13 = cell15
| X13 = cell16 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_171])])])]) ).
cnf(c_0_177,plain,
~ epred5_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
( ~ epred4_2(X1,X2)
| epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
fof(c_0_179,plain,
! [X15,X16] :
( ( epred4_2(X16,X15)
| X16 != cell23
| X15 != cell22 )
& ( epred4_2(X16,X15)
| X16 != cell22
| X15 != cell21 )
& ( epred4_2(X16,X15)
| X16 != cell20
| X15 != cell19 )
& ( epred4_2(X16,X15)
| X16 != cell19
| X15 != cell18 )
& ( epred4_2(X16,X15)
| X16 != cell18
| X15 != cell17 )
& ( epred4_2(X16,X15)
| ~ epred3_2(X16,X15) )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X16 = cell20
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X16 = cell20
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X16 = cell20
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X16 = cell20
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X15 = cell19
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X15 = cell19
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X15 = cell19
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X16 = cell19
| X15 = cell19
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X16 = cell20
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X16 = cell20
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X16 = cell20
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X16 = cell20
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X15 = cell19
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X15 = cell19
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X15 = cell19
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X16 = cell18
| X15 = cell18
| X15 = cell19
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X16 = cell20
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X16 = cell20
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X16 = cell20
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X16 = cell20
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X15 = cell19
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X15 = cell19
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X15 = cell19
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X16 = cell19
| X15 = cell19
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X16 = cell20
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X16 = cell20
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X16 = cell20
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X16 = cell20
| X15 = cell21
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X15 = cell19
| X16 = cell22
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X15 = cell19
| X16 = cell22
| X15 = cell22 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X15 = cell19
| X15 = cell21
| X16 = cell23 )
& ( ~ epred4_2(X16,X15)
| epred3_2(X16,X15)
| X15 = cell17
| X15 = cell18
| X15 = cell19
| X15 = cell21
| X15 = cell22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_175])])])]) ).
cnf(c_0_180,plain,
( X2 != cell13
| X1 != cell12
| epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_181,plain,
~ epred4_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,plain,
( ~ epred3_2(X1,X2)
| epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_183,plain,
epred3_2(cell13,cell12),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_180])]) ).
cnf(c_0_184,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n008.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 03:51:09 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.70 % Version: 3.5.1
% 0.79/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.79/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.79/0.70 % Starting new_bool_3 with 600s (2) cores
% 0.79/0.70 % Starting new_bool_1 with 300s (1) cores
% 0.79/0.70 % Starting sh5l with 300s (1) cores
% 0.79/0.70 % new_bool_3 with pid 84478 completed with status 9
% 0.79/0.70 % new_bool_1 with pid 84479 completed with status 9
% 0.79/0.70 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 84477 completed with status 0
% 0.79/0.70 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.79/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.79/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.79/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.79/0.70 % No SInE strategy applied
% 0.79/0.70 % Search class: FGUSF-SMLF00-SFFFFFNN
% 0.79/0.70 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.79/0.70 % Starting SubtermCWHack with 109s (1) cores
% 0.79/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.79/0.70 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 109s (1) cores
% 0.79/0.70 % Starting new_bool_3 with 109s (1) cores
% 0.79/0.70 % SubtermCWHack with pid 84500 completed with status 0
% 0.79/0.70 % Result found by SubtermCWHack
% 0.79/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.79/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.79/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.79/0.70 % No SInE strategy applied
% 0.79/0.70 % Search class: FGUSF-SMLF00-SFFFFFNN
% 0.79/0.70 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.79/0.70 % Starting SubtermCWHack with 109s (1) cores
% 0.79/0.70 % Preprocessing time : 0.020 s
% 0.79/0.70
% 0.79/0.70 % Proof found!
% 0.79/0.70 % SZS status Theorem
% 0.79/0.70 % SZS output start CNFRefutation
% See solution above
% 0.79/0.70 % Parsed axioms : 3
% 0.79/0.70 % Removed by relevancy pruning/SinE : 0
% 0.79/0.70 % Initial clauses : 1373
% 0.79/0.70 % Removed in clause preprocessing : 0
% 0.79/0.70 % Initial clauses in saturation : 1373
% 0.79/0.70 % Processed clauses : 136
% 0.79/0.70 % ...of these trivial : 0
% 0.79/0.70 % ...subsumed : 0
% 0.79/0.70 % ...remaining for further processing : 136
% 0.79/0.70 % Other redundant clauses eliminated : 24
% 0.79/0.70 % Clauses deleted for lack of memory : 0
% 0.79/0.70 % Backward-subsumed : 0
% 0.79/0.70 % Backward-rewritten : 0
% 0.79/0.70 % Generated clauses : 87
% 0.79/0.70 % ...of the previous two non-redundant : 85
% 0.79/0.70 % ...aggressively subsumed : 0
% 0.79/0.70 % Contextual simplify-reflections : 0
% 0.79/0.70 % Paramodulations : 75
% 0.79/0.70 % Factorizations : 0
% 0.79/0.70 % NegExts : 0
% 0.79/0.70 % Equation resolutions : 24
% 0.79/0.70 % Disequality decompositions : 0
% 0.79/0.70 % Total rewrite steps : 1
% 0.79/0.70 % ...of those cached : 0
% 0.79/0.70 % Propositional unsat checks : 0
% 0.79/0.70 % Propositional check models : 0
% 0.79/0.70 % Propositional check unsatisfiable : 0
% 0.79/0.70 % Propositional clauses : 0
% 0.79/0.70 % Propositional clauses after purity: 0
% 0.79/0.70 % Propositional unsat core size : 0
% 0.79/0.70 % Propositional preprocessing time : 0.000
% 0.79/0.70 % Propositional encoding time : 0.000
% 0.79/0.70 % Propositional solver time : 0.000
% 0.79/0.70 % Success case prop preproc time : 0.000
% 0.79/0.70 % Success case prop encoding time : 0.000
% 0.79/0.70 % Success case prop solver time : 0.000
% 0.79/0.70 % Current number of processed clauses : 124
% 0.79/0.70 % Positive orientable unit clauses : 17
% 0.79/0.70 % Positive unorientable unit clauses: 0
% 0.79/0.70 % Negative unit clauses : 68
% 0.79/0.70 % Non-unit-clauses : 39
% 0.79/0.70 % Current number of unprocessed clauses: 1322
% 0.79/0.70 % ...number of literals in the above : 8540
% 0.79/0.70 % Current number of archived formulas : 0
% 0.79/0.70 % Current number of archived clauses : 0
% 0.79/0.70 % Clause-clause subsumption calls (NU) : 310
% 0.79/0.70 % Rec. Clause-clause subsumption calls : 310
% 0.79/0.70 % Non-unit clause-clause subsumptions : 0
% 0.79/0.70 % Unit Clause-clause subsumption calls : 2272
% 0.79/0.70 % Rewrite failures with RHS unbound : 0
% 0.79/0.70 % BW rewrite match attempts : 0
% 0.79/0.70 % BW rewrite match successes : 0
% 0.79/0.70 % Condensation attempts : 0
% 0.79/0.70 % Condensation successes : 0
% 0.79/0.70 % Termbank termtop insertions : 46920
% 0.79/0.70 % Search garbage collected termcells : 10933
% 0.79/0.70
% 0.79/0.70 % -------------------------------------------------
% 0.79/0.70 % User time : 0.109 s
% 0.79/0.70 % System time : 0.017 s
% 0.79/0.70 % Total time : 0.125 s
% 0.79/0.70 % Maximum resident set size: 5976 pages
% 0.79/0.70
% 0.79/0.70 % -------------------------------------------------
% 0.79/0.70 % User time : 0.293 s
% 0.79/0.70 % System time : 0.106 s
% 0.79/0.70 % Total time : 0.399 s
% 0.79/0.70 % Maximum resident set size: 5120 pages
% 0.79/0.70 % E exiting
%------------------------------------------------------------------------------