%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ075+1 : TPTP v9.2.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:03:23 PM UTC 2026
% Result : Theorem 1.64s 1.84s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 38
% Syntax : Number of formulae : 183 ( 39 unt; 0 def)
% Number of atoms : 15776 (13132 equ)
% Maximal formula atoms : 361 ( 86 avg)
% Number of connectives : 17133 (1540 ~;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/sandbox2/benchmark/theBenchmark.p',tlhfof24989) ).
fof(tlhfof24988,axiom,
! [X3,X4] :
( adj(X4,X3)
<=> ( edge(X4,X3)
| edge(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24988) ).
fof(tlhfof24987,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24987) ).
fof(c_0_3,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 )
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ adj(cell12,cell13),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[tlhfof24989])]) ).
fof(c_0_5,plain,
! [X11,X12] :
( ( ~ adj(X12,X11)
| edge(X12,X11)
| edge(X11,X12) )
& ( ~ edge(X12,X11)
| adj(X12,X11) )
& ( ~ edge(X11,X12)
| adj(X12,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tlhfof24988])])]) ).
fof(c_0_6,axiom,
! [X1,X2] :
( edge(X2,X1)
<=> epred36_2(X1,X2) ),
inference(apply_def,[status(thm)],[tlhfof24987,c_0_3]) ).
fof(c_0_7,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 )
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
~ adj(cell12,cell13),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( adj(X1,X2)
| ~ edge(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
! [X9,X10] :
( ( ~ edge(X10,X9)
| epred36_2(X9,X10) )
& ( ~ epred36_2(X9,X10)
| edge(X10,X9) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_11,plain,
! [X2,X1] :
( epred36_2(X1,X2)
<=> ( epred35_2(X1,X2)
| ( X2 = cell86
& X1 = cell96 )
| ( X2 = cell87
& X1 = cell97 )
| ( X2 = cell88
& X1 = cell98 )
| ( X2 = cell89
& X1 = cell99 )
| ( X2 = cell90
& X1 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_3,c_0_7]) ).
fof(c_0_12,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 )
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
introduced(definition) ).
cnf(c_0_13,negated_conjecture,
~ edge(cell12,cell13),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( edge(X2,X1)
| ~ epred36_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X83,X84] :
( ( X83 = cell90
| X83 = cell89
| X83 = cell88
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X83 = cell88
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X83 = cell88
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X83 = cell88
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X84 = cell98
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X84 = cell98
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X84 = cell98
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X84 = cell98
| X83 = cell87
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X83 = cell88
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X83 = cell88
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X83 = cell88
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X83 = cell88
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X84 = cell98
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X84 = cell98
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X84 = cell98
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X84 = cell98
| X84 = cell97
| X83 = cell86
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X83 = cell88
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X83 = cell88
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X83 = cell88
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X83 = cell88
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X84 = cell98
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X84 = cell98
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X84 = cell98
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X84 = cell98
| X83 = cell87
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X83 = cell88
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X83 = cell88
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X83 = cell88
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X83 = cell88
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X83 = cell89
| X84 = cell98
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X83 = cell89
| X84 = cell98
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X83 = cell90
| X84 = cell99
| X84 = cell98
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( X84 = cell100
| X84 = cell99
| X84 = cell98
| X84 = cell97
| X84 = cell96
| epred35_2(X84,X83)
| ~ epred36_2(X84,X83) )
& ( ~ epred35_2(X84,X83)
| epred36_2(X84,X83) )
& ( X83 != cell86
| X84 != cell96
| epred36_2(X84,X83) )
& ( X83 != cell87
| X84 != cell97
| epred36_2(X84,X83) )
& ( X83 != cell88
| X84 != cell98
| epred36_2(X84,X83) )
& ( X83 != cell89
| X84 != cell99
| epred36_2(X84,X83) )
& ( X83 != cell90
| X84 != cell100
| epred36_2(X84,X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
! [X2,X1] :
( epred35_2(X1,X2)
<=> ( epred34_2(X1,X2)
| ( X2 = cell81
& X1 = cell91 )
| ( X2 = cell82
& X1 = cell92 )
| ( X2 = cell83
& X1 = cell93 )
| ( X2 = cell84
& X1 = cell94 )
| ( X2 = cell85
& X1 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_7,c_0_12]) ).
fof(c_0_17,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 )
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
introduced(definition) ).
cnf(c_0_18,negated_conjecture,
~ epred36_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X81,X82] :
( ( X81 = cell85
| X81 = cell84
| X81 = cell83
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X81 = cell83
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X81 = cell83
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X81 = cell83
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X82 = cell93
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X82 = cell93
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X82 = cell93
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X82 = cell93
| X81 = cell82
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X81 = cell83
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X81 = cell83
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X81 = cell83
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X81 = cell83
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X82 = cell93
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X82 = cell93
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X82 = cell93
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X82 = cell93
| X82 = cell92
| X81 = cell81
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X81 = cell83
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X81 = cell83
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X81 = cell83
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X81 = cell83
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X82 = cell93
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X82 = cell93
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X82 = cell93
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X82 = cell93
| X81 = cell82
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X81 = cell83
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X81 = cell83
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X81 = cell83
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X81 = cell83
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X81 = cell84
| X82 = cell93
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X81 = cell84
| X82 = cell93
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X81 = cell85
| X82 = cell94
| X82 = cell93
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( X82 = cell95
| X82 = cell94
| X82 = cell93
| X82 = cell92
| X82 = cell91
| epred34_2(X82,X81)
| ~ epred35_2(X82,X81) )
& ( ~ epred34_2(X82,X81)
| epred35_2(X82,X81) )
& ( X81 != cell81
| X82 != cell91
| epred35_2(X82,X81) )
& ( X81 != cell82
| X82 != cell92
| epred35_2(X82,X81) )
& ( X81 != cell83
| X82 != cell93
| epred35_2(X82,X81) )
& ( X81 != cell84
| X82 != cell94
| epred35_2(X82,X81) )
& ( X81 != cell85
| X82 != cell95
| epred35_2(X82,X81) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_21,plain,
! [X2,X1] :
( epred34_2(X1,X2)
<=> ( epred33_2(X1,X2)
| ( X2 = cell76
& X1 = cell86 )
| ( X2 = cell77
& X1 = cell87 )
| ( X2 = cell78
& X1 = cell88 )
| ( X2 = cell79
& X1 = cell89 )
| ( X2 = cell80
& X1 = cell90 ) ) ),
inference(apply_def,[status(thm)],[c_0_12,c_0_17]) ).
fof(c_0_22,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 )
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
introduced(definition) ).
cnf(c_0_23,negated_conjecture,
~ epred35_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X79,X80] :
( ( X79 = cell80
| X79 = cell79
| X79 = cell78
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X79 = cell78
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X79 = cell78
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X79 = cell78
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X80 = cell88
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X80 = cell88
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X80 = cell88
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X80 = cell88
| X79 = cell77
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X79 = cell78
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X79 = cell78
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X79 = cell78
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X79 = cell78
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X80 = cell88
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X80 = cell88
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X80 = cell88
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X80 = cell88
| X80 = cell87
| X79 = cell76
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X79 = cell78
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X79 = cell78
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X79 = cell78
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X79 = cell78
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X80 = cell88
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X80 = cell88
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X80 = cell88
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X80 = cell88
| X79 = cell77
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X79 = cell78
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X79 = cell78
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X79 = cell78
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X79 = cell78
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X79 = cell79
| X80 = cell88
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X79 = cell79
| X80 = cell88
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X79 = cell80
| X80 = cell89
| X80 = cell88
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( X80 = cell90
| X80 = cell89
| X80 = cell88
| X80 = cell87
| X80 = cell86
| epred33_2(X80,X79)
| ~ epred34_2(X80,X79) )
& ( ~ epred33_2(X80,X79)
| epred34_2(X80,X79) )
& ( X79 != cell76
| X80 != cell86
| epred34_2(X80,X79) )
& ( X79 != cell77
| X80 != cell87
| epred34_2(X80,X79) )
& ( X79 != cell78
| X80 != cell88
| epred34_2(X80,X79) )
& ( X79 != cell79
| X80 != cell89
| epred34_2(X80,X79) )
& ( X79 != cell80
| X80 != cell90
| epred34_2(X80,X79) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_26,plain,
! [X2,X1] :
( epred33_2(X1,X2)
<=> ( epred32_2(X1,X2)
| ( X2 = cell71
& X1 = cell81 )
| ( X2 = cell72
& X1 = cell82 )
| ( X2 = cell73
& X1 = cell83 )
| ( X2 = cell74
& X1 = cell84 )
| ( X2 = cell75
& X1 = cell85 ) ) ),
inference(apply_def,[status(thm)],[c_0_17,c_0_22]) ).
fof(c_0_27,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 )
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
introduced(definition) ).
cnf(c_0_28,plain,
~ epred34_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X77,X78] :
( ( X77 = cell75
| X77 = cell74
| X77 = cell73
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X77 = cell73
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X77 = cell73
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X77 = cell73
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X78 = cell83
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X78 = cell83
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X78 = cell83
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X78 = cell83
| X77 = cell72
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X77 = cell73
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X77 = cell73
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X77 = cell73
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X77 = cell73
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X78 = cell83
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X78 = cell83
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X78 = cell83
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X78 = cell83
| X78 = cell82
| X77 = cell71
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X77 = cell73
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X77 = cell73
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X77 = cell73
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X77 = cell73
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X78 = cell83
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X78 = cell83
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X78 = cell83
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X78 = cell83
| X77 = cell72
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X77 = cell73
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X77 = cell73
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X77 = cell73
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X77 = cell73
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X77 = cell74
| X78 = cell83
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X77 = cell74
| X78 = cell83
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X77 = cell75
| X78 = cell84
| X78 = cell83
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( X78 = cell85
| X78 = cell84
| X78 = cell83
| X78 = cell82
| X78 = cell81
| epred32_2(X78,X77)
| ~ epred33_2(X78,X77) )
& ( ~ epred32_2(X78,X77)
| epred33_2(X78,X77) )
& ( X77 != cell71
| X78 != cell81
| epred33_2(X78,X77) )
& ( X77 != cell72
| X78 != cell82
| epred33_2(X78,X77) )
& ( X77 != cell73
| X78 != cell83
| epred33_2(X78,X77) )
& ( X77 != cell74
| X78 != cell84
| epred33_2(X78,X77) )
& ( X77 != cell75
| X78 != cell85
| epred33_2(X78,X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_31,plain,
! [X2,X1] :
( epred32_2(X1,X2)
<=> ( epred31_2(X1,X2)
| ( X2 = cell66
& X1 = cell76 )
| ( X2 = cell67
& X1 = cell77 )
| ( X2 = cell68
& X1 = cell78 )
| ( X2 = cell69
& X1 = cell79 )
| ( X2 = cell70
& X1 = cell80 ) ) ),
inference(apply_def,[status(thm)],[c_0_22,c_0_27]) ).
fof(c_0_32,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 )
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
introduced(definition) ).
cnf(c_0_33,plain,
~ epred33_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X75,X76] :
( ( X75 = cell70
| X75 = cell69
| X75 = cell68
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X75 = cell68
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X75 = cell68
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X75 = cell68
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X76 = cell78
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X76 = cell78
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X76 = cell78
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X76 = cell78
| X75 = cell67
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X75 = cell68
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X75 = cell68
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X75 = cell68
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X75 = cell68
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X76 = cell78
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X76 = cell78
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X76 = cell78
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X76 = cell78
| X76 = cell77
| X75 = cell66
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X75 = cell68
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X75 = cell68
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X75 = cell68
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X75 = cell68
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X76 = cell78
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X76 = cell78
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X76 = cell78
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X76 = cell78
| X75 = cell67
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X75 = cell68
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X75 = cell68
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X75 = cell68
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X75 = cell68
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X75 = cell69
| X76 = cell78
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X75 = cell69
| X76 = cell78
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X75 = cell70
| X76 = cell79
| X76 = cell78
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( X76 = cell80
| X76 = cell79
| X76 = cell78
| X76 = cell77
| X76 = cell76
| epred31_2(X76,X75)
| ~ epred32_2(X76,X75) )
& ( ~ epred31_2(X76,X75)
| epred32_2(X76,X75) )
& ( X75 != cell66
| X76 != cell76
| epred32_2(X76,X75) )
& ( X75 != cell67
| X76 != cell77
| epred32_2(X76,X75) )
& ( X75 != cell68
| X76 != cell78
| epred32_2(X76,X75) )
& ( X75 != cell69
| X76 != cell79
| epred32_2(X76,X75) )
& ( X75 != cell70
| X76 != cell80
| epred32_2(X76,X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_36,plain,
! [X2,X1] :
( epred31_2(X1,X2)
<=> ( epred30_2(X1,X2)
| ( X2 = cell61
& X1 = cell71 )
| ( X2 = cell62
& X1 = cell72 )
| ( X2 = cell63
& X1 = cell73 )
| ( X2 = cell64
& X1 = cell74 )
| ( X2 = cell65
& X1 = cell75 ) ) ),
inference(apply_def,[status(thm)],[c_0_27,c_0_32]) ).
fof(c_0_37,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 )
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
introduced(definition) ).
cnf(c_0_38,plain,
~ epred32_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,plain,
! [X73,X74] :
( ( X73 = cell65
| X73 = cell64
| X73 = cell63
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X73 = cell63
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X73 = cell63
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X73 = cell63
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X74 = cell73
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X74 = cell73
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X74 = cell73
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X74 = cell73
| X73 = cell62
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X73 = cell63
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X73 = cell63
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X73 = cell63
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X73 = cell63
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X74 = cell73
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X74 = cell73
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X74 = cell73
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X74 = cell73
| X74 = cell72
| X73 = cell61
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X73 = cell63
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X73 = cell63
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X73 = cell63
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X73 = cell63
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X74 = cell73
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X74 = cell73
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X74 = cell73
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X74 = cell73
| X73 = cell62
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X73 = cell63
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X73 = cell63
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X73 = cell63
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X73 = cell63
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X73 = cell64
| X74 = cell73
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X73 = cell64
| X74 = cell73
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X73 = cell65
| X74 = cell74
| X74 = cell73
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( X74 = cell75
| X74 = cell74
| X74 = cell73
| X74 = cell72
| X74 = cell71
| epred30_2(X74,X73)
| ~ epred31_2(X74,X73) )
& ( ~ epred30_2(X74,X73)
| epred31_2(X74,X73) )
& ( X73 != cell61
| X74 != cell71
| epred31_2(X74,X73) )
& ( X73 != cell62
| X74 != cell72
| epred31_2(X74,X73) )
& ( X73 != cell63
| X74 != cell73
| epred31_2(X74,X73) )
& ( X73 != cell64
| X74 != cell74
| epred31_2(X74,X73) )
& ( X73 != cell65
| X74 != cell75
| epred31_2(X74,X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_41,plain,
! [X2,X1] :
( epred30_2(X1,X2)
<=> ( epred29_2(X1,X2)
| ( X2 = cell56
& X1 = cell66 )
| ( X2 = cell57
& X1 = cell67 )
| ( X2 = cell58
& X1 = cell68 )
| ( X2 = cell59
& X1 = cell69 )
| ( X2 = cell60
& X1 = cell70 ) ) ),
inference(apply_def,[status(thm)],[c_0_32,c_0_37]) ).
fof(c_0_42,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 )
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
introduced(definition) ).
cnf(c_0_43,plain,
~ epred31_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
! [X71,X72] :
( ( X71 = cell60
| X71 = cell59
| X71 = cell58
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X71 = cell58
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X71 = cell58
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X71 = cell58
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X72 = cell68
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X72 = cell68
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X72 = cell68
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X72 = cell68
| X71 = cell57
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X71 = cell58
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X71 = cell58
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X71 = cell58
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X71 = cell58
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X72 = cell68
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X72 = cell68
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X72 = cell68
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X72 = cell68
| X72 = cell67
| X71 = cell56
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X71 = cell58
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X71 = cell58
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X71 = cell58
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X71 = cell58
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X72 = cell68
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X72 = cell68
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X72 = cell68
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X72 = cell68
| X71 = cell57
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X71 = cell58
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X71 = cell58
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X71 = cell58
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X71 = cell58
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X71 = cell59
| X72 = cell68
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X71 = cell59
| X72 = cell68
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X71 = cell60
| X72 = cell69
| X72 = cell68
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( X72 = cell70
| X72 = cell69
| X72 = cell68
| X72 = cell67
| X72 = cell66
| epred29_2(X72,X71)
| ~ epred30_2(X72,X71) )
& ( ~ epred29_2(X72,X71)
| epred30_2(X72,X71) )
& ( X71 != cell56
| X72 != cell66
| epred30_2(X72,X71) )
& ( X71 != cell57
| X72 != cell67
| epred30_2(X72,X71) )
& ( X71 != cell58
| X72 != cell68
| epred30_2(X72,X71) )
& ( X71 != cell59
| X72 != cell69
| epred30_2(X72,X71) )
& ( X71 != cell60
| X72 != cell70
| epred30_2(X72,X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_46,plain,
! [X2,X1] :
( epred29_2(X1,X2)
<=> ( epred28_2(X1,X2)
| ( X2 = cell51
& X1 = cell61 )
| ( X2 = cell52
& X1 = cell62 )
| ( X2 = cell53
& X1 = cell63 )
| ( X2 = cell54
& X1 = cell64 )
| ( X2 = cell55
& X1 = cell65 ) ) ),
inference(apply_def,[status(thm)],[c_0_37,c_0_42]) ).
fof(c_0_47,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 )
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
introduced(definition) ).
cnf(c_0_48,plain,
~ epred30_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_50,plain,
! [X69,X70] :
( ( X69 = cell55
| X69 = cell54
| X69 = cell53
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X69 = cell53
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X69 = cell53
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X69 = cell53
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X70 = cell63
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X70 = cell63
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X70 = cell63
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X70 = cell63
| X69 = cell52
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X69 = cell53
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X69 = cell53
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X69 = cell53
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X69 = cell53
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X70 = cell63
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X70 = cell63
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X70 = cell63
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X70 = cell63
| X70 = cell62
| X69 = cell51
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X69 = cell53
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X69 = cell53
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X69 = cell53
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X69 = cell53
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X70 = cell63
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X70 = cell63
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X70 = cell63
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X70 = cell63
| X69 = cell52
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X69 = cell53
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X69 = cell53
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X69 = cell53
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X69 = cell53
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X69 = cell54
| X70 = cell63
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X69 = cell54
| X70 = cell63
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X69 = cell55
| X70 = cell64
| X70 = cell63
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( X70 = cell65
| X70 = cell64
| X70 = cell63
| X70 = cell62
| X70 = cell61
| epred28_2(X70,X69)
| ~ epred29_2(X70,X69) )
& ( ~ epred28_2(X70,X69)
| epred29_2(X70,X69) )
& ( X69 != cell51
| X70 != cell61
| epred29_2(X70,X69) )
& ( X69 != cell52
| X70 != cell62
| epred29_2(X70,X69) )
& ( X69 != cell53
| X70 != cell63
| epred29_2(X70,X69) )
& ( X69 != cell54
| X70 != cell64
| epred29_2(X70,X69) )
& ( X69 != cell55
| X70 != cell65
| epred29_2(X70,X69) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_51,plain,
! [X2,X1] :
( epred28_2(X1,X2)
<=> ( epred27_2(X1,X2)
| ( X2 = cell46
& X1 = cell56 )
| ( X2 = cell47
& X1 = cell57 )
| ( X2 = cell48
& X1 = cell58 )
| ( X2 = cell49
& X1 = cell59 )
| ( X2 = cell50
& X1 = cell60 ) ) ),
inference(apply_def,[status(thm)],[c_0_42,c_0_47]) ).
fof(c_0_52,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 )
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
introduced(definition) ).
cnf(c_0_53,plain,
~ epred29_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_55,plain,
! [X67,X68] :
( ( X67 = cell50
| X67 = cell49
| X67 = cell48
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X67 = cell48
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X67 = cell48
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X67 = cell48
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X68 = cell58
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X68 = cell58
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X68 = cell58
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X68 = cell58
| X67 = cell47
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X67 = cell48
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X67 = cell48
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X67 = cell48
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X67 = cell48
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X68 = cell58
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X68 = cell58
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X68 = cell58
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X68 = cell58
| X68 = cell57
| X67 = cell46
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X67 = cell48
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X67 = cell48
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X67 = cell48
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X67 = cell48
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X68 = cell58
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X68 = cell58
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X68 = cell58
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X68 = cell58
| X67 = cell47
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X67 = cell48
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X67 = cell48
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X67 = cell48
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X67 = cell48
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X67 = cell49
| X68 = cell58
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X67 = cell49
| X68 = cell58
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X67 = cell50
| X68 = cell59
| X68 = cell58
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( X68 = cell60
| X68 = cell59
| X68 = cell58
| X68 = cell57
| X68 = cell56
| epred27_2(X68,X67)
| ~ epred28_2(X68,X67) )
& ( ~ epred27_2(X68,X67)
| epred28_2(X68,X67) )
& ( X67 != cell46
| X68 != cell56
| epred28_2(X68,X67) )
& ( X67 != cell47
| X68 != cell57
| epred28_2(X68,X67) )
& ( X67 != cell48
| X68 != cell58
| epred28_2(X68,X67) )
& ( X67 != cell49
| X68 != cell59
| epred28_2(X68,X67) )
& ( X67 != cell50
| X68 != cell60
| epred28_2(X68,X67) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_56,plain,
! [X2,X1] :
( epred27_2(X1,X2)
<=> ( epred26_2(X1,X2)
| ( X2 = cell41
& X1 = cell51 )
| ( X2 = cell42
& X1 = cell52 )
| ( X2 = cell43
& X1 = cell53 )
| ( X2 = cell44
& X1 = cell54 )
| ( X2 = cell45
& X1 = cell55 ) ) ),
inference(apply_def,[status(thm)],[c_0_47,c_0_52]) ).
fof(c_0_57,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 )
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
introduced(definition) ).
cnf(c_0_58,plain,
~ epred28_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_60,plain,
! [X65,X66] :
( ( X65 = cell45
| X65 = cell44
| X65 = cell43
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X65 = cell43
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X65 = cell43
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X65 = cell43
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X66 = cell53
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X66 = cell53
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X66 = cell53
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X66 = cell53
| X65 = cell42
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X65 = cell43
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X65 = cell43
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X65 = cell43
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X65 = cell43
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X66 = cell53
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X66 = cell53
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X66 = cell53
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X66 = cell53
| X66 = cell52
| X65 = cell41
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X65 = cell43
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X65 = cell43
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X65 = cell43
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X65 = cell43
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X66 = cell53
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X66 = cell53
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X66 = cell53
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X66 = cell53
| X65 = cell42
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X65 = cell43
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X65 = cell43
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X65 = cell43
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X65 = cell43
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X65 = cell44
| X66 = cell53
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X65 = cell44
| X66 = cell53
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X65 = cell45
| X66 = cell54
| X66 = cell53
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( X66 = cell55
| X66 = cell54
| X66 = cell53
| X66 = cell52
| X66 = cell51
| epred26_2(X66,X65)
| ~ epred27_2(X66,X65) )
& ( ~ epred26_2(X66,X65)
| epred27_2(X66,X65) )
& ( X65 != cell41
| X66 != cell51
| epred27_2(X66,X65) )
& ( X65 != cell42
| X66 != cell52
| epred27_2(X66,X65) )
& ( X65 != cell43
| X66 != cell53
| epred27_2(X66,X65) )
& ( X65 != cell44
| X66 != cell54
| epred27_2(X66,X65) )
& ( X65 != cell45
| X66 != cell55
| epred27_2(X66,X65) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
fof(c_0_61,plain,
! [X2,X1] :
( epred26_2(X1,X2)
<=> ( epred25_2(X1,X2)
| ( X2 = cell36
& X1 = cell46 )
| ( X2 = cell37
& X1 = cell47 )
| ( X2 = cell38
& X1 = cell48 )
| ( X2 = cell39
& X1 = cell49 )
| ( X2 = cell40
& X1 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_52,c_0_57]) ).
fof(c_0_62,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 )
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
introduced(definition) ).
cnf(c_0_63,plain,
~ epred27_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_65,plain,
! [X63,X64] :
( ( X63 = cell40
| X63 = cell39
| X63 = cell38
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X63 = cell38
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X63 = cell38
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X63 = cell38
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X64 = cell48
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X64 = cell48
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X64 = cell48
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X64 = cell48
| X63 = cell37
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X63 = cell38
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X63 = cell38
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X63 = cell38
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X63 = cell38
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X64 = cell48
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X64 = cell48
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X64 = cell48
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X64 = cell48
| X64 = cell47
| X63 = cell36
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X63 = cell38
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X63 = cell38
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X63 = cell38
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X63 = cell38
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X64 = cell48
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X64 = cell48
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X64 = cell48
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X64 = cell48
| X63 = cell37
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X63 = cell38
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X63 = cell38
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X63 = cell38
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X63 = cell38
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X63 = cell39
| X64 = cell48
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X63 = cell39
| X64 = cell48
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X63 = cell40
| X64 = cell49
| X64 = cell48
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( X64 = cell50
| X64 = cell49
| X64 = cell48
| X64 = cell47
| X64 = cell46
| epred25_2(X64,X63)
| ~ epred26_2(X64,X63) )
& ( ~ epred25_2(X64,X63)
| epred26_2(X64,X63) )
& ( X63 != cell36
| X64 != cell46
| epred26_2(X64,X63) )
& ( X63 != cell37
| X64 != cell47
| epred26_2(X64,X63) )
& ( X63 != cell38
| X64 != cell48
| epred26_2(X64,X63) )
& ( X63 != cell39
| X64 != cell49
| epred26_2(X64,X63) )
& ( X63 != cell40
| X64 != cell50
| epred26_2(X64,X63) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
fof(c_0_66,plain,
! [X2,X1] :
( epred25_2(X1,X2)
<=> ( epred24_2(X1,X2)
| ( X2 = cell31
& X1 = cell41 )
| ( X2 = cell32
& X1 = cell42 )
| ( X2 = cell33
& X1 = cell43 )
| ( X2 = cell34
& X1 = cell44 )
| ( X2 = cell35
& X1 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_57,c_0_62]) ).
fof(c_0_67,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 )
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
introduced(definition) ).
cnf(c_0_68,plain,
~ epred26_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_70,plain,
! [X61,X62] :
( ( X61 = cell35
| X61 = cell34
| X61 = cell33
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X61 = cell33
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X61 = cell33
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X61 = cell33
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X62 = cell43
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X62 = cell43
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X62 = cell43
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X62 = cell43
| X61 = cell32
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X61 = cell33
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X61 = cell33
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X61 = cell33
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X61 = cell33
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X62 = cell43
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X62 = cell43
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X62 = cell43
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X62 = cell43
| X62 = cell42
| X61 = cell31
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X61 = cell33
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X61 = cell33
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X61 = cell33
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X61 = cell33
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X62 = cell43
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X62 = cell43
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X62 = cell43
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X62 = cell43
| X61 = cell32
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X61 = cell33
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X61 = cell33
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X61 = cell33
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X61 = cell33
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X61 = cell34
| X62 = cell43
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X61 = cell34
| X62 = cell43
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X61 = cell35
| X62 = cell44
| X62 = cell43
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( X62 = cell45
| X62 = cell44
| X62 = cell43
| X62 = cell42
| X62 = cell41
| epred24_2(X62,X61)
| ~ epred25_2(X62,X61) )
& ( ~ epred24_2(X62,X61)
| epred25_2(X62,X61) )
& ( X61 != cell31
| X62 != cell41
| epred25_2(X62,X61) )
& ( X61 != cell32
| X62 != cell42
| epred25_2(X62,X61) )
& ( X61 != cell33
| X62 != cell43
| epred25_2(X62,X61) )
& ( X61 != cell34
| X62 != cell44
| epred25_2(X62,X61) )
& ( X61 != cell35
| X62 != cell45
| epred25_2(X62,X61) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_71,plain,
! [X2,X1] :
( epred24_2(X1,X2)
<=> ( epred23_2(X1,X2)
| ( X2 = cell26
& X1 = cell36 )
| ( X2 = cell27
& X1 = cell37 )
| ( X2 = cell28
& X1 = cell38 )
| ( X2 = cell29
& X1 = cell39 )
| ( X2 = cell30
& X1 = cell40 ) ) ),
inference(apply_def,[status(thm)],[c_0_62,c_0_67]) ).
fof(c_0_72,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 )
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
introduced(definition) ).
cnf(c_0_73,plain,
~ epred25_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_75,plain,
! [X59,X60] :
( ( X59 = cell30
| X59 = cell29
| X59 = cell28
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X59 = cell28
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X59 = cell28
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X59 = cell28
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X60 = cell38
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X60 = cell38
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X60 = cell38
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X60 = cell38
| X59 = cell27
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X59 = cell28
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X59 = cell28
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X59 = cell28
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X59 = cell28
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X60 = cell38
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X60 = cell38
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X60 = cell38
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X60 = cell38
| X60 = cell37
| X59 = cell26
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X59 = cell28
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X59 = cell28
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X59 = cell28
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X59 = cell28
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X60 = cell38
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X60 = cell38
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X60 = cell38
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X60 = cell38
| X59 = cell27
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X59 = cell28
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X59 = cell28
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X59 = cell28
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X59 = cell28
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X59 = cell29
| X60 = cell38
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X59 = cell29
| X60 = cell38
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X59 = cell30
| X60 = cell39
| X60 = cell38
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( X60 = cell40
| X60 = cell39
| X60 = cell38
| X60 = cell37
| X60 = cell36
| epred23_2(X60,X59)
| ~ epred24_2(X60,X59) )
& ( ~ epred23_2(X60,X59)
| epred24_2(X60,X59) )
& ( X59 != cell26
| X60 != cell36
| epred24_2(X60,X59) )
& ( X59 != cell27
| X60 != cell37
| epred24_2(X60,X59) )
& ( X59 != cell28
| X60 != cell38
| epred24_2(X60,X59) )
& ( X59 != cell29
| X60 != cell39
| epred24_2(X60,X59) )
& ( X59 != cell30
| X60 != cell40
| epred24_2(X60,X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_76,plain,
! [X2,X1] :
( epred23_2(X1,X2)
<=> ( epred22_2(X1,X2)
| ( X2 = cell21
& X1 = cell31 )
| ( X2 = cell22
& X1 = cell32 )
| ( X2 = cell23
& X1 = cell33 )
| ( X2 = cell24
& X1 = cell34 )
| ( X2 = cell25
& X1 = cell35 ) ) ),
inference(apply_def,[status(thm)],[c_0_67,c_0_72]) ).
fof(c_0_77,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 )
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
introduced(definition) ).
cnf(c_0_78,plain,
~ epred24_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_80,plain,
! [X57,X58] :
( ( X57 = cell25
| X57 = cell24
| X57 = cell23
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X57 = cell23
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X57 = cell23
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X57 = cell23
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X58 = cell33
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X58 = cell33
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X58 = cell33
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X58 = cell33
| X57 = cell22
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X57 = cell23
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X57 = cell23
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X57 = cell23
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X57 = cell23
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X58 = cell33
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X58 = cell33
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X58 = cell33
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X58 = cell33
| X58 = cell32
| X57 = cell21
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X57 = cell23
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X57 = cell23
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X57 = cell23
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X57 = cell23
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X58 = cell33
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X58 = cell33
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X58 = cell33
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X58 = cell33
| X57 = cell22
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X57 = cell23
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X57 = cell23
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X57 = cell23
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X57 = cell23
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X57 = cell24
| X58 = cell33
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X57 = cell24
| X58 = cell33
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X57 = cell25
| X58 = cell34
| X58 = cell33
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( X58 = cell35
| X58 = cell34
| X58 = cell33
| X58 = cell32
| X58 = cell31
| epred22_2(X58,X57)
| ~ epred23_2(X58,X57) )
& ( ~ epred22_2(X58,X57)
| epred23_2(X58,X57) )
& ( X57 != cell21
| X58 != cell31
| epred23_2(X58,X57) )
& ( X57 != cell22
| X58 != cell32
| epred23_2(X58,X57) )
& ( X57 != cell23
| X58 != cell33
| epred23_2(X58,X57) )
& ( X57 != cell24
| X58 != cell34
| epred23_2(X58,X57) )
& ( X57 != cell25
| X58 != cell35
| epred23_2(X58,X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
fof(c_0_81,plain,
! [X2,X1] :
( epred22_2(X1,X2)
<=> ( epred21_2(X1,X2)
| ( X2 = cell16
& X1 = cell26 )
| ( X2 = cell17
& X1 = cell27 )
| ( X2 = cell18
& X1 = cell28 )
| ( X2 = cell19
& X1 = cell29 )
| ( X2 = cell20
& X1 = cell30 ) ) ),
inference(apply_def,[status(thm)],[c_0_72,c_0_77]) ).
fof(c_0_82,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 )
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
introduced(definition) ).
cnf(c_0_83,plain,
~ epred23_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_85,plain,
! [X55,X56] :
( ( X55 = cell20
| X55 = cell19
| X55 = cell18
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X55 = cell18
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X55 = cell18
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X55 = cell18
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X56 = cell28
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X56 = cell28
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X56 = cell28
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X56 = cell28
| X55 = cell17
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X55 = cell18
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X55 = cell18
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X55 = cell18
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X55 = cell18
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X56 = cell28
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X56 = cell28
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X56 = cell28
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X56 = cell28
| X56 = cell27
| X55 = cell16
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X55 = cell18
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X55 = cell18
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X55 = cell18
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X55 = cell18
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X56 = cell28
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X56 = cell28
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X56 = cell28
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X56 = cell28
| X55 = cell17
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X55 = cell18
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X55 = cell18
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X55 = cell18
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X55 = cell18
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X55 = cell19
| X56 = cell28
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X55 = cell19
| X56 = cell28
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X55 = cell20
| X56 = cell29
| X56 = cell28
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( X56 = cell30
| X56 = cell29
| X56 = cell28
| X56 = cell27
| X56 = cell26
| epred21_2(X56,X55)
| ~ epred22_2(X56,X55) )
& ( ~ epred21_2(X56,X55)
| epred22_2(X56,X55) )
& ( X55 != cell16
| X56 != cell26
| epred22_2(X56,X55) )
& ( X55 != cell17
| X56 != cell27
| epred22_2(X56,X55) )
& ( X55 != cell18
| X56 != cell28
| epred22_2(X56,X55) )
& ( X55 != cell19
| X56 != cell29
| epred22_2(X56,X55) )
& ( X55 != cell20
| X56 != cell30
| epred22_2(X56,X55) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
fof(c_0_86,plain,
! [X2,X1] :
( epred21_2(X1,X2)
<=> ( epred20_2(X1,X2)
| ( X2 = cell11
& X1 = cell21 )
| ( X2 = cell12
& X1 = cell22 )
| ( X2 = cell13
& X1 = cell23 )
| ( X2 = cell14
& X1 = cell24 )
| ( X2 = cell15
& X1 = cell25 ) ) ),
inference(apply_def,[status(thm)],[c_0_77,c_0_82]) ).
fof(c_0_87,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 )
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
introduced(definition) ).
cnf(c_0_88,plain,
~ epred22_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_90,plain,
! [X53,X54] :
( ( X53 = cell15
| X53 = cell14
| X53 = cell13
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X53 = cell13
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X53 = cell13
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X53 = cell13
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X54 = cell23
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X54 = cell23
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X54 = cell23
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X54 = cell23
| X53 = cell12
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X53 = cell13
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X53 = cell13
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X53 = cell13
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X53 = cell13
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X54 = cell23
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X54 = cell23
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X54 = cell23
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X54 = cell23
| X54 = cell22
| X53 = cell11
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X53 = cell13
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X53 = cell13
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X53 = cell13
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X53 = cell13
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X54 = cell23
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X54 = cell23
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X54 = cell23
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X54 = cell23
| X53 = cell12
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X53 = cell13
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X53 = cell13
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X53 = cell13
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X53 = cell13
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X53 = cell14
| X54 = cell23
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X53 = cell14
| X54 = cell23
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X53 = cell15
| X54 = cell24
| X54 = cell23
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( X54 = cell25
| X54 = cell24
| X54 = cell23
| X54 = cell22
| X54 = cell21
| epred20_2(X54,X53)
| ~ epred21_2(X54,X53) )
& ( ~ epred20_2(X54,X53)
| epred21_2(X54,X53) )
& ( X53 != cell11
| X54 != cell21
| epred21_2(X54,X53) )
& ( X53 != cell12
| X54 != cell22
| epred21_2(X54,X53) )
& ( X53 != cell13
| X54 != cell23
| epred21_2(X54,X53) )
& ( X53 != cell14
| X54 != cell24
| epred21_2(X54,X53) )
& ( X53 != cell15
| X54 != cell25
| epred21_2(X54,X53) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).
fof(c_0_91,plain,
! [X2,X1] :
( epred20_2(X1,X2)
<=> ( epred19_2(X1,X2)
| ( X2 = cell6
& X1 = cell16 )
| ( X2 = cell7
& X1 = cell17 )
| ( X2 = cell8
& X1 = cell18 )
| ( X2 = cell9
& X1 = cell19 )
| ( X2 = cell10
& X1 = cell20 ) ) ),
inference(apply_def,[status(thm)],[c_0_82,c_0_87]) ).
fof(c_0_92,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 )
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) ) ),
introduced(definition) ).
cnf(c_0_93,plain,
~ epred21_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_95,plain,
! [X51,X52] :
( ( X51 = cell10
| X51 = cell9
| X51 = cell8
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X51 = cell8
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X51 = cell8
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X51 = cell8
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X52 = cell18
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X52 = cell18
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X52 = cell18
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X52 = cell18
| X51 = cell7
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X51 = cell8
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X51 = cell8
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X51 = cell8
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X51 = cell8
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X52 = cell18
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X52 = cell18
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X52 = cell18
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X52 = cell18
| X52 = cell17
| X51 = cell6
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X51 = cell8
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X51 = cell8
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X51 = cell8
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X51 = cell8
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X52 = cell18
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X52 = cell18
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X52 = cell18
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X52 = cell18
| X51 = cell7
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X51 = cell8
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X51 = cell8
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X51 = cell8
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X51 = cell8
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X51 = cell9
| X52 = cell18
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X51 = cell9
| X52 = cell18
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X51 = cell10
| X52 = cell19
| X52 = cell18
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( X52 = cell20
| X52 = cell19
| X52 = cell18
| X52 = cell17
| X52 = cell16
| epred19_2(X52,X51)
| ~ epred20_2(X52,X51) )
& ( ~ epred19_2(X52,X51)
| epred20_2(X52,X51) )
& ( X51 != cell6
| X52 != cell16
| epred20_2(X52,X51) )
& ( X51 != cell7
| X52 != cell17
| epred20_2(X52,X51) )
& ( X51 != cell8
| X52 != cell18
| epred20_2(X52,X51) )
& ( X51 != cell9
| X52 != cell19
| epred20_2(X52,X51) )
& ( X51 != cell10
| X52 != cell20
| epred20_2(X52,X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
fof(c_0_96,plain,
! [X2,X1] :
( epred19_2(X1,X2)
<=> ( epred18_2(X1,X2)
| ( X2 = cell1
& X1 = cell11 )
| ( X2 = cell2
& X1 = cell12 )
| ( X2 = cell3
& X1 = cell13 )
| ( X2 = cell4
& X1 = cell14 )
| ( X2 = cell5
& X1 = cell15 ) ) ),
inference(apply_def,[status(thm)],[c_0_87,c_0_92]) ).
fof(c_0_97,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 )
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) ) ),
introduced(definition) ).
cnf(c_0_98,plain,
~ epred20_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
fof(c_0_100,plain,
! [X49,X50] :
( ( X49 = cell5
| X49 = cell4
| X49 = cell3
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X49 = cell3
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X49 = cell3
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X49 = cell3
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X50 = cell13
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X50 = cell13
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X50 = cell13
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X50 = cell13
| X49 = cell2
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X49 = cell3
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X49 = cell3
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X49 = cell3
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X49 = cell3
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X50 = cell13
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X50 = cell13
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X50 = cell13
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X50 = cell13
| X50 = cell12
| X49 = cell1
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X49 = cell3
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X49 = cell3
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X49 = cell3
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X49 = cell3
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X50 = cell13
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X50 = cell13
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X50 = cell13
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X50 = cell13
| X49 = cell2
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X49 = cell3
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X49 = cell3
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X49 = cell3
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X49 = cell3
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X49 = cell4
| X50 = cell13
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X49 = cell4
| X50 = cell13
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X49 = cell5
| X50 = cell14
| X50 = cell13
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( X50 = cell15
| X50 = cell14
| X50 = cell13
| X50 = cell12
| X50 = cell11
| epred18_2(X50,X49)
| ~ epred19_2(X50,X49) )
& ( ~ epred18_2(X50,X49)
| epred19_2(X50,X49) )
& ( X49 != cell1
| X50 != cell11
| epred19_2(X50,X49) )
& ( X49 != cell2
| X50 != cell12
| epred19_2(X50,X49) )
& ( X49 != cell3
| X50 != cell13
| epred19_2(X50,X49) )
& ( X49 != cell4
| X50 != cell14
| epred19_2(X50,X49) )
& ( X49 != cell5
| X50 != cell15
| epred19_2(X50,X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])]) ).
fof(c_0_101,plain,
! [X2,X1] :
( epred18_2(X1,X2)
<=> ( epred17_2(X1,X2)
| ( X2 = cell95
& X1 = cell96 )
| ( X2 = cell96
& X1 = cell97 )
| ( X2 = cell97
& X1 = cell98 )
| ( X2 = cell98
& X1 = cell99 )
| ( X2 = cell99
& X1 = cell100 ) ) ),
inference(apply_def,[status(thm)],[c_0_92,c_0_97]) ).
fof(c_0_102,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 )
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) ) ),
introduced(definition) ).
cnf(c_0_103,plain,
~ epred19_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_105,plain,
! [X47,X48] :
( ( X47 = cell99
| X47 = cell98
| X47 = cell97
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X47 = cell97
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X47 = cell97
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X47 = cell97
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X48 = cell98
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X48 = cell98
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X48 = cell98
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X48 = cell98
| X47 = cell96
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X47 = cell97
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X47 = cell97
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X47 = cell97
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X47 = cell97
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X48 = cell98
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X48 = cell98
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X48 = cell98
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X48 = cell98
| X48 = cell97
| X47 = cell95
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X47 = cell97
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X47 = cell97
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X47 = cell97
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X47 = cell97
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X48 = cell98
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X48 = cell98
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X48 = cell98
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X48 = cell98
| X47 = cell96
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X47 = cell97
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X47 = cell97
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X47 = cell97
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X47 = cell97
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X47 = cell98
| X48 = cell98
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X47 = cell98
| X48 = cell98
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X47 = cell99
| X48 = cell99
| X48 = cell98
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( X48 = cell100
| X48 = cell99
| X48 = cell98
| X48 = cell97
| X48 = cell96
| epred17_2(X48,X47)
| ~ epred18_2(X48,X47) )
& ( ~ epred17_2(X48,X47)
| epred18_2(X48,X47) )
& ( X47 != cell95
| X48 != cell96
| epred18_2(X48,X47) )
& ( X47 != cell96
| X48 != cell97
| epred18_2(X48,X47) )
& ( X47 != cell97
| X48 != cell98
| epred18_2(X48,X47) )
& ( X47 != cell98
| X48 != cell99
| epred18_2(X48,X47) )
& ( X47 != cell99
| X48 != cell100
| epred18_2(X48,X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).
fof(c_0_106,plain,
! [X2,X1] :
( epred17_2(X1,X2)
<=> ( epred16_2(X1,X2)
| ( X2 = cell89
& X1 = cell90 )
| ( X2 = cell91
& X1 = cell92 )
| ( X2 = cell92
& X1 = cell93 )
| ( X2 = cell93
& X1 = cell94 )
| ( X2 = cell94
& X1 = cell95 ) ) ),
inference(apply_def,[status(thm)],[c_0_97,c_0_102]) ).
fof(c_0_107,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 )
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) ) ),
introduced(definition) ).
cnf(c_0_108,plain,
~ epred18_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_110,plain,
! [X45,X46] :
( ( X45 = cell94
| X45 = cell93
| X45 = cell92
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X45 = cell92
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X45 = cell92
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X45 = cell92
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X46 = cell93
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X46 = cell93
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X46 = cell93
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X46 = cell93
| X45 = cell91
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X45 = cell92
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X45 = cell92
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X45 = cell92
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X45 = cell92
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X46 = cell93
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X46 = cell93
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X46 = cell93
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X46 = cell93
| X46 = cell92
| X45 = cell89
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X45 = cell92
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X45 = cell92
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X45 = cell92
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X45 = cell92
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X46 = cell93
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X46 = cell93
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X46 = cell93
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X46 = cell93
| X45 = cell91
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X45 = cell92
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X45 = cell92
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X45 = cell92
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X45 = cell92
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X45 = cell93
| X46 = cell93
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X45 = cell93
| X46 = cell93
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X45 = cell94
| X46 = cell94
| X46 = cell93
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( X46 = cell95
| X46 = cell94
| X46 = cell93
| X46 = cell92
| X46 = cell90
| epred16_2(X46,X45)
| ~ epred17_2(X46,X45) )
& ( ~ epred16_2(X46,X45)
| epred17_2(X46,X45) )
& ( X45 != cell89
| X46 != cell90
| epred17_2(X46,X45) )
& ( X45 != cell91
| X46 != cell92
| epred17_2(X46,X45) )
& ( X45 != cell92
| X46 != cell93
| epred17_2(X46,X45) )
& ( X45 != cell93
| X46 != cell94
| epred17_2(X46,X45) )
& ( X45 != cell94
| X46 != cell95
| epred17_2(X46,X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])]) ).
fof(c_0_111,plain,
! [X2,X1] :
( epred16_2(X1,X2)
<=> ( epred15_2(X1,X2)
| ( X2 = cell84
& X1 = cell85 )
| ( X2 = cell85
& X1 = cell86 )
| ( X2 = cell86
& X1 = cell87 )
| ( X2 = cell87
& X1 = cell88 )
| ( X2 = cell88
& X1 = cell89 ) ) ),
inference(apply_def,[status(thm)],[c_0_102,c_0_107]) ).
fof(c_0_112,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 )
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) ) ),
introduced(definition) ).
cnf(c_0_113,plain,
~ epred17_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
fof(c_0_115,plain,
! [X43,X44] :
( ( X43 = cell88
| X43 = cell87
| X43 = cell86
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X43 = cell86
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X43 = cell86
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X43 = cell86
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X44 = cell87
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X44 = cell87
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X44 = cell87
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X44 = cell87
| X43 = cell85
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X43 = cell86
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X43 = cell86
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X43 = cell86
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X43 = cell86
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X44 = cell87
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X44 = cell87
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X44 = cell87
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X44 = cell87
| X44 = cell86
| X43 = cell84
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X43 = cell86
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X43 = cell86
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X43 = cell86
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X43 = cell86
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X44 = cell87
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X44 = cell87
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X44 = cell87
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X44 = cell87
| X43 = cell85
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X43 = cell86
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X43 = cell86
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X43 = cell86
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X43 = cell86
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X43 = cell87
| X44 = cell87
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X43 = cell87
| X44 = cell87
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X43 = cell88
| X44 = cell88
| X44 = cell87
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( X44 = cell89
| X44 = cell88
| X44 = cell87
| X44 = cell86
| X44 = cell85
| epred15_2(X44,X43)
| ~ epred16_2(X44,X43) )
& ( ~ epred15_2(X44,X43)
| epred16_2(X44,X43) )
& ( X43 != cell84
| X44 != cell85
| epred16_2(X44,X43) )
& ( X43 != cell85
| X44 != cell86
| epred16_2(X44,X43) )
& ( X43 != cell86
| X44 != cell87
| epred16_2(X44,X43) )
& ( X43 != cell87
| X44 != cell88
| epred16_2(X44,X43) )
& ( X43 != cell88
| X44 != cell89
| epred16_2(X44,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])]) ).
fof(c_0_116,plain,
! [X2,X1] :
( epred15_2(X1,X2)
<=> ( epred14_2(X1,X2)
| ( X2 = cell78
& X1 = cell79 )
| ( X2 = cell79
& X1 = cell80 )
| ( X2 = cell81
& X1 = cell82 )
| ( X2 = cell82
& X1 = cell83 )
| ( X2 = cell83
& X1 = cell84 ) ) ),
inference(apply_def,[status(thm)],[c_0_107,c_0_112]) ).
fof(c_0_117,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 )
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) ) ),
introduced(definition) ).
cnf(c_0_118,plain,
~ epred16_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_120,plain,
! [X41,X42] :
( ( X41 = cell83
| X41 = cell82
| X41 = cell81
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X41 = cell81
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X41 = cell81
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X41 = cell81
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X42 = cell82
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X42 = cell82
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X42 = cell82
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X42 = cell82
| X41 = cell79
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X41 = cell81
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X41 = cell81
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X41 = cell81
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X41 = cell81
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X42 = cell82
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X42 = cell82
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X42 = cell82
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X42 = cell82
| X42 = cell80
| X41 = cell78
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X41 = cell81
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X41 = cell81
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X41 = cell81
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X41 = cell81
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X42 = cell82
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X42 = cell82
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X42 = cell82
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X42 = cell82
| X41 = cell79
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X41 = cell81
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X41 = cell81
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X41 = cell81
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X41 = cell81
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X41 = cell82
| X42 = cell82
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X41 = cell82
| X42 = cell82
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X41 = cell83
| X42 = cell83
| X42 = cell82
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( X42 = cell84
| X42 = cell83
| X42 = cell82
| X42 = cell80
| X42 = cell79
| epred14_2(X42,X41)
| ~ epred15_2(X42,X41) )
& ( ~ epred14_2(X42,X41)
| epred15_2(X42,X41) )
& ( X41 != cell78
| X42 != cell79
| epred15_2(X42,X41) )
& ( X41 != cell79
| X42 != cell80
| epred15_2(X42,X41) )
& ( X41 != cell81
| X42 != cell82
| epred15_2(X42,X41) )
& ( X41 != cell82
| X42 != cell83
| epred15_2(X42,X41) )
& ( X41 != cell83
| X42 != cell84
| epred15_2(X42,X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])]) ).
fof(c_0_121,plain,
! [X2,X1] :
( epred14_2(X1,X2)
<=> ( epred13_2(X1,X2)
| ( X2 = cell73
& X1 = cell74 )
| ( X2 = cell74
& X1 = cell75 )
| ( X2 = cell75
& X1 = cell76 )
| ( X2 = cell76
& X1 = cell77 )
| ( X2 = cell77
& X1 = cell78 ) ) ),
inference(apply_def,[status(thm)],[c_0_112,c_0_117]) ).
fof(c_0_122,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 )
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) ) ),
introduced(definition) ).
cnf(c_0_123,plain,
~ epred15_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
fof(c_0_125,plain,
! [X39,X40] :
( ( X39 = cell77
| X39 = cell76
| X39 = cell75
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X39 = cell75
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X39 = cell75
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X39 = cell75
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X40 = cell76
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X40 = cell76
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X40 = cell76
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X40 = cell76
| X39 = cell74
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X39 = cell75
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X39 = cell75
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X39 = cell75
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X39 = cell75
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X40 = cell76
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X40 = cell76
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X40 = cell76
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X40 = cell76
| X40 = cell75
| X39 = cell73
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X39 = cell75
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X39 = cell75
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X39 = cell75
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X39 = cell75
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X40 = cell76
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X40 = cell76
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X40 = cell76
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X40 = cell76
| X39 = cell74
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X39 = cell75
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X39 = cell75
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X39 = cell75
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X39 = cell75
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X39 = cell76
| X40 = cell76
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X39 = cell76
| X40 = cell76
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X39 = cell77
| X40 = cell77
| X40 = cell76
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( X40 = cell78
| X40 = cell77
| X40 = cell76
| X40 = cell75
| X40 = cell74
| epred13_2(X40,X39)
| ~ epred14_2(X40,X39) )
& ( ~ epred13_2(X40,X39)
| epred14_2(X40,X39) )
& ( X39 != cell73
| X40 != cell74
| epred14_2(X40,X39) )
& ( X39 != cell74
| X40 != cell75
| epred14_2(X40,X39) )
& ( X39 != cell75
| X40 != cell76
| epred14_2(X40,X39) )
& ( X39 != cell76
| X40 != cell77
| epred14_2(X40,X39) )
& ( X39 != cell77
| X40 != cell78
| epred14_2(X40,X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])]) ).
fof(c_0_126,plain,
! [X2,X1] :
( epred13_2(X1,X2)
<=> ( epred12_2(X1,X2)
| ( X2 = cell67
& X1 = cell68 )
| ( X2 = cell68
& X1 = cell69 )
| ( X2 = cell69
& X1 = cell70 )
| ( X2 = cell71
& X1 = cell72 )
| ( X2 = cell72
& X1 = cell73 ) ) ),
inference(apply_def,[status(thm)],[c_0_117,c_0_122]) ).
fof(c_0_127,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 )
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) ) ),
introduced(definition) ).
cnf(c_0_128,plain,
~ epred14_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
fof(c_0_130,plain,
! [X37,X38] :
( ( X37 = cell72
| X37 = cell71
| X37 = cell69
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X37 = cell69
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X37 = cell69
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X37 = cell69
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X38 = cell70
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X38 = cell70
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X38 = cell70
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X38 = cell70
| X37 = cell68
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X37 = cell69
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X37 = cell69
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X37 = cell69
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X37 = cell69
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X38 = cell70
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X38 = cell70
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X38 = cell70
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X38 = cell70
| X38 = cell69
| X37 = cell67
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X37 = cell69
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X37 = cell69
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X37 = cell69
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X37 = cell69
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X38 = cell70
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X38 = cell70
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X38 = cell70
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X38 = cell70
| X37 = cell68
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X37 = cell69
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X37 = cell69
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X37 = cell69
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X37 = cell69
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X37 = cell71
| X38 = cell70
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X37 = cell71
| X38 = cell70
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X37 = cell72
| X38 = cell72
| X38 = cell70
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( X38 = cell73
| X38 = cell72
| X38 = cell70
| X38 = cell69
| X38 = cell68
| epred12_2(X38,X37)
| ~ epred13_2(X38,X37) )
& ( ~ epred12_2(X38,X37)
| epred13_2(X38,X37) )
& ( X37 != cell67
| X38 != cell68
| epred13_2(X38,X37) )
& ( X37 != cell68
| X38 != cell69
| epred13_2(X38,X37) )
& ( X37 != cell69
| X38 != cell70
| epred13_2(X38,X37) )
& ( X37 != cell71
| X38 != cell72
| epred13_2(X38,X37) )
& ( X37 != cell72
| X38 != cell73
| epred13_2(X38,X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])]) ).
fof(c_0_131,plain,
! [X2,X1] :
( epred12_2(X1,X2)
<=> ( epred11_2(X1,X2)
| ( X2 = cell62
& X1 = cell63 )
| ( X2 = cell63
& X1 = cell64 )
| ( X2 = cell64
& X1 = cell65 )
| ( X2 = cell65
& X1 = cell66 )
| ( X2 = cell66
& X1 = cell67 ) ) ),
inference(apply_def,[status(thm)],[c_0_122,c_0_127]) ).
fof(c_0_132,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 )
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) ) ),
introduced(definition) ).
cnf(c_0_133,plain,
~ epred13_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
fof(c_0_135,plain,
! [X35,X36] :
( ( X35 = cell66
| X35 = cell65
| X35 = cell64
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X35 = cell64
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X35 = cell64
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X35 = cell64
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X36 = cell65
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X36 = cell65
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X36 = cell65
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X36 = cell65
| X35 = cell63
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X35 = cell64
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X35 = cell64
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X35 = cell64
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X35 = cell64
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X36 = cell65
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X36 = cell65
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X36 = cell65
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X36 = cell65
| X36 = cell64
| X35 = cell62
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X35 = cell64
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X35 = cell64
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X35 = cell64
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X35 = cell64
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X36 = cell65
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X36 = cell65
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X36 = cell65
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X36 = cell65
| X35 = cell63
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X35 = cell64
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X35 = cell64
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X35 = cell64
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X35 = cell64
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X35 = cell65
| X36 = cell65
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X35 = cell65
| X36 = cell65
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X35 = cell66
| X36 = cell66
| X36 = cell65
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( X36 = cell67
| X36 = cell66
| X36 = cell65
| X36 = cell64
| X36 = cell63
| epred11_2(X36,X35)
| ~ epred12_2(X36,X35) )
& ( ~ epred11_2(X36,X35)
| epred12_2(X36,X35) )
& ( X35 != cell62
| X36 != cell63
| epred12_2(X36,X35) )
& ( X35 != cell63
| X36 != cell64
| epred12_2(X36,X35) )
& ( X35 != cell64
| X36 != cell65
| epred12_2(X36,X35) )
& ( X35 != cell65
| X36 != cell66
| epred12_2(X36,X35) )
& ( X35 != cell66
| X36 != cell67
| epred12_2(X36,X35) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])])]) ).
fof(c_0_136,plain,
! [X2,X1] :
( epred11_2(X1,X2)
<=> ( epred10_2(X1,X2)
| ( X2 = cell56
& X1 = cell57 )
| ( X2 = cell57
& X1 = cell58 )
| ( X2 = cell58
& X1 = cell59 )
| ( X2 = cell59
& X1 = cell60 )
| ( X2 = cell61
& X1 = cell62 ) ) ),
inference(apply_def,[status(thm)],[c_0_127,c_0_132]) ).
fof(c_0_137,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 )
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) ) ),
introduced(definition) ).
cnf(c_0_138,plain,
~ epred12_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_139,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
fof(c_0_140,plain,
! [X33,X34] :
( ( X33 = cell61
| X33 = cell59
| X33 = cell58
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X33 = cell58
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X33 = cell58
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X33 = cell58
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X34 = cell59
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X34 = cell59
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X34 = cell59
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X34 = cell59
| X33 = cell57
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X33 = cell58
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X33 = cell58
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X33 = cell58
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X33 = cell58
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X34 = cell59
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X34 = cell59
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X34 = cell59
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X34 = cell59
| X34 = cell58
| X33 = cell56
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X33 = cell58
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X33 = cell58
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X33 = cell58
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X33 = cell58
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X34 = cell59
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X34 = cell59
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X34 = cell59
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X34 = cell59
| X33 = cell57
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X33 = cell58
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X33 = cell58
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X33 = cell58
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X33 = cell58
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X33 = cell59
| X34 = cell59
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X33 = cell59
| X34 = cell59
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X33 = cell61
| X34 = cell60
| X34 = cell59
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( X34 = cell62
| X34 = cell60
| X34 = cell59
| X34 = cell58
| X34 = cell57
| epred10_2(X34,X33)
| ~ epred11_2(X34,X33) )
& ( ~ epred10_2(X34,X33)
| epred11_2(X34,X33) )
& ( X33 != cell56
| X34 != cell57
| epred11_2(X34,X33) )
& ( X33 != cell57
| X34 != cell58
| epred11_2(X34,X33) )
& ( X33 != cell58
| X34 != cell59
| epred11_2(X34,X33) )
& ( X33 != cell59
| X34 != cell60
| epred11_2(X34,X33) )
& ( X33 != cell61
| X34 != cell62
| epred11_2(X34,X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])])]) ).
fof(c_0_141,plain,
! [X2,X1] :
( epred10_2(X1,X2)
<=> ( epred9_2(X1,X2)
| ( X2 = cell51
& X1 = cell52 )
| ( X2 = cell52
& X1 = cell53 )
| ( X2 = cell53
& X1 = cell54 )
| ( X2 = cell54
& X1 = cell55 )
| ( X2 = cell55
& X1 = cell56 ) ) ),
inference(apply_def,[status(thm)],[c_0_132,c_0_137]) ).
fof(c_0_142,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 )
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) ) ),
introduced(definition) ).
cnf(c_0_143,plain,
~ epred11_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_144,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
fof(c_0_145,plain,
! [X31,X32] :
( ( X31 = cell55
| X31 = cell54
| X31 = cell53
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X31 = cell53
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X31 = cell53
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X31 = cell53
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X32 = cell54
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X32 = cell54
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X32 = cell54
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X32 = cell54
| X31 = cell52
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X31 = cell53
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X31 = cell53
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X31 = cell53
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X31 = cell53
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X32 = cell54
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X32 = cell54
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X32 = cell54
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X32 = cell54
| X32 = cell53
| X31 = cell51
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X31 = cell53
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X31 = cell53
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X31 = cell53
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X31 = cell53
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X32 = cell54
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X32 = cell54
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X32 = cell54
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X32 = cell54
| X31 = cell52
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X31 = cell53
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X31 = cell53
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X31 = cell53
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X31 = cell53
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X31 = cell54
| X32 = cell54
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X31 = cell54
| X32 = cell54
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X31 = cell55
| X32 = cell55
| X32 = cell54
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( X32 = cell56
| X32 = cell55
| X32 = cell54
| X32 = cell53
| X32 = cell52
| epred9_2(X32,X31)
| ~ epred10_2(X32,X31) )
& ( ~ epred9_2(X32,X31)
| epred10_2(X32,X31) )
& ( X31 != cell51
| X32 != cell52
| epred10_2(X32,X31) )
& ( X31 != cell52
| X32 != cell53
| epred10_2(X32,X31) )
& ( X31 != cell53
| X32 != cell54
| epred10_2(X32,X31) )
& ( X31 != cell54
| X32 != cell55
| epred10_2(X32,X31) )
& ( X31 != cell55
| X32 != cell56
| epred10_2(X32,X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_141])])]) ).
fof(c_0_146,plain,
! [X2,X1] :
( epred9_2(X1,X2)
<=> ( epred8_2(X1,X2)
| ( X2 = cell45
& X1 = cell46 )
| ( X2 = cell46
& X1 = cell47 )
| ( X2 = cell47
& X1 = cell48 )
| ( X2 = cell48
& X1 = cell49 )
| ( X2 = cell49
& X1 = cell50 ) ) ),
inference(apply_def,[status(thm)],[c_0_137,c_0_142]) ).
fof(c_0_147,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 )
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) ) ),
introduced(definition) ).
cnf(c_0_148,plain,
~ epred10_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_149,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
fof(c_0_150,plain,
! [X29,X30] :
( ( X29 = cell49
| X29 = cell48
| X29 = cell47
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X29 = cell47
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X29 = cell47
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X29 = cell47
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X30 = cell48
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X30 = cell48
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X30 = cell48
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X30 = cell48
| X29 = cell46
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X29 = cell47
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X29 = cell47
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X29 = cell47
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X29 = cell47
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X30 = cell48
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X30 = cell48
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X30 = cell48
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X30 = cell48
| X30 = cell47
| X29 = cell45
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X29 = cell47
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X29 = cell47
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X29 = cell47
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X29 = cell47
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X30 = cell48
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X30 = cell48
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X30 = cell48
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X30 = cell48
| X29 = cell46
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X29 = cell47
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X29 = cell47
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X29 = cell47
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X29 = cell47
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X29 = cell48
| X30 = cell48
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X29 = cell48
| X30 = cell48
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X29 = cell49
| X30 = cell49
| X30 = cell48
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( X30 = cell50
| X30 = cell49
| X30 = cell48
| X30 = cell47
| X30 = cell46
| epred8_2(X30,X29)
| ~ epred9_2(X30,X29) )
& ( ~ epred8_2(X30,X29)
| epred9_2(X30,X29) )
& ( X29 != cell45
| X30 != cell46
| epred9_2(X30,X29) )
& ( X29 != cell46
| X30 != cell47
| epred9_2(X30,X29) )
& ( X29 != cell47
| X30 != cell48
| epred9_2(X30,X29) )
& ( X29 != cell48
| X30 != cell49
| epred9_2(X30,X29) )
& ( X29 != cell49
| X30 != cell50
| epred9_2(X30,X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_146])])]) ).
fof(c_0_151,plain,
! [X2,X1] :
( epred8_2(X1,X2)
<=> ( epred7_2(X1,X2)
| ( X2 = cell39
& X1 = cell40 )
| ( X2 = cell41
& X1 = cell42 )
| ( X2 = cell42
& X1 = cell43 )
| ( X2 = cell43
& X1 = cell44 )
| ( X2 = cell44
& X1 = cell45 ) ) ),
inference(apply_def,[status(thm)],[c_0_142,c_0_147]) ).
fof(c_0_152,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 )
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) ) ),
introduced(definition) ).
cnf(c_0_153,plain,
~ epred9_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
fof(c_0_155,plain,
! [X27,X28] :
( ( X27 = cell44
| X27 = cell43
| X27 = cell42
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X27 = cell42
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X27 = cell42
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X27 = cell42
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X28 = cell43
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X28 = cell43
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X28 = cell43
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X28 = cell43
| X27 = cell41
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X27 = cell42
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X27 = cell42
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X27 = cell42
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X27 = cell42
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X28 = cell43
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X28 = cell43
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X28 = cell43
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X28 = cell43
| X28 = cell42
| X27 = cell39
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X27 = cell42
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X27 = cell42
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X27 = cell42
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X27 = cell42
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X28 = cell43
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X28 = cell43
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X28 = cell43
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X28 = cell43
| X27 = cell41
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X27 = cell42
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X27 = cell42
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X27 = cell42
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X27 = cell42
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X27 = cell43
| X28 = cell43
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X27 = cell43
| X28 = cell43
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X27 = cell44
| X28 = cell44
| X28 = cell43
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( X28 = cell45
| X28 = cell44
| X28 = cell43
| X28 = cell42
| X28 = cell40
| epred7_2(X28,X27)
| ~ epred8_2(X28,X27) )
& ( ~ epred7_2(X28,X27)
| epred8_2(X28,X27) )
& ( X27 != cell39
| X28 != cell40
| epred8_2(X28,X27) )
& ( X27 != cell41
| X28 != cell42
| epred8_2(X28,X27) )
& ( X27 != cell42
| X28 != cell43
| epred8_2(X28,X27) )
& ( X27 != cell43
| X28 != cell44
| epred8_2(X28,X27) )
& ( X27 != cell44
| X28 != cell45
| epred8_2(X28,X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])])]) ).
fof(c_0_156,plain,
! [X2,X1] :
( epred7_2(X1,X2)
<=> ( epred6_2(X1,X2)
| ( X2 = cell34
& X1 = cell35 )
| ( X2 = cell35
& X1 = cell36 )
| ( X2 = cell36
& X1 = cell37 )
| ( X2 = cell37
& X1 = cell38 )
| ( X2 = cell38
& X1 = cell39 ) ) ),
inference(apply_def,[status(thm)],[c_0_147,c_0_152]) ).
fof(c_0_157,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 )
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) ) ),
introduced(definition) ).
cnf(c_0_158,plain,
~ epred8_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
fof(c_0_160,plain,
! [X25,X26] :
( ( X25 = cell38
| X25 = cell37
| X25 = cell36
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X25 = cell36
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X25 = cell36
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X25 = cell36
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X26 = cell37
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X26 = cell37
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X26 = cell37
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X26 = cell37
| X25 = cell35
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X25 = cell36
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X25 = cell36
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X25 = cell36
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X25 = cell36
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X26 = cell37
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X26 = cell37
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X26 = cell37
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X26 = cell37
| X26 = cell36
| X25 = cell34
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X25 = cell36
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X25 = cell36
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X25 = cell36
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X25 = cell36
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X26 = cell37
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X26 = cell37
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X26 = cell37
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X26 = cell37
| X25 = cell35
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X25 = cell36
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X25 = cell36
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X25 = cell36
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X25 = cell36
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X25 = cell37
| X26 = cell37
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X25 = cell37
| X26 = cell37
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X25 = cell38
| X26 = cell38
| X26 = cell37
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( X26 = cell39
| X26 = cell38
| X26 = cell37
| X26 = cell36
| X26 = cell35
| epred6_2(X26,X25)
| ~ epred7_2(X26,X25) )
& ( ~ epred6_2(X26,X25)
| epred7_2(X26,X25) )
& ( X25 != cell34
| X26 != cell35
| epred7_2(X26,X25) )
& ( X25 != cell35
| X26 != cell36
| epred7_2(X26,X25) )
& ( X25 != cell36
| X26 != cell37
| epred7_2(X26,X25) )
& ( X25 != cell37
| X26 != cell38
| epred7_2(X26,X25) )
& ( X25 != cell38
| X26 != cell39
| epred7_2(X26,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])]) ).
fof(c_0_161,plain,
! [X2,X1] :
( epred6_2(X1,X2)
<=> ( epred5_2(X1,X2)
| ( X2 = cell28
& X1 = cell29 )
| ( X2 = cell29
& X1 = cell30 )
| ( X2 = cell31
& X1 = cell32 )
| ( X2 = cell32
& X1 = cell33 )
| ( X2 = cell33
& X1 = cell34 ) ) ),
inference(apply_def,[status(thm)],[c_0_152,c_0_157]) ).
fof(c_0_162,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 )
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) ) ),
introduced(definition) ).
fof(c_0_163,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 )
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) ) ),
introduced(definition) ).
fof(c_0_164,plain,
! [X2,X1] :
( epred2_2(X1,X2)
<=> ( ( X2 = cell1
& X1 = cell2 )
| ( X2 = cell2
& X1 = cell3 )
| ( X2 = cell3
& X1 = cell4 )
| ( X2 = cell4
& X1 = cell5 )
| ( X2 = cell5
& X1 = cell6 )
| ( X2 = cell6
& X1 = cell7 )
| ( X2 = cell7
& X1 = cell8 )
| ( X2 = cell8
& X1 = cell9 )
| ( X2 = cell9
& X1 = cell10 )
| ( X2 = cell11
& X1 = cell12 ) ) ),
introduced(definition) ).
cnf(c_0_165,plain,
~ epred7_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_166,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
fof(c_0_167,plain,
! [X23,X24] :
( ( X23 = cell33
| X23 = cell32
| X23 = cell31
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X23 = cell31
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X23 = cell31
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X23 = cell31
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X24 = cell32
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X24 = cell32
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X24 = cell32
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X24 = cell32
| X23 = cell29
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X23 = cell31
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X23 = cell31
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X23 = cell31
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X23 = cell31
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X24 = cell32
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X24 = cell32
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X24 = cell32
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X24 = cell32
| X24 = cell30
| X23 = cell28
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X23 = cell31
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X23 = cell31
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X23 = cell31
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X23 = cell31
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X24 = cell32
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X24 = cell32
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X24 = cell32
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X24 = cell32
| X23 = cell29
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X23 = cell31
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X23 = cell31
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X23 = cell31
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X23 = cell31
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X23 = cell32
| X24 = cell32
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X23 = cell32
| X24 = cell32
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X23 = cell33
| X24 = cell33
| X24 = cell32
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( X24 = cell34
| X24 = cell33
| X24 = cell32
| X24 = cell30
| X24 = cell29
| epred5_2(X24,X23)
| ~ epred6_2(X24,X23) )
& ( ~ epred5_2(X24,X23)
| epred6_2(X24,X23) )
& ( X23 != cell28
| X24 != cell29
| epred6_2(X24,X23) )
& ( X23 != cell29
| X24 != cell30
| epred6_2(X24,X23) )
& ( X23 != cell31
| X24 != cell32
| epred6_2(X24,X23) )
& ( X23 != cell32
| X24 != cell33
| epred6_2(X24,X23) )
& ( X23 != cell33
| X24 != cell34
| epred6_2(X24,X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_161])])]) ).
fof(c_0_168,plain,
! [X2,X1] :
( epred5_2(X1,X2)
<=> ( epred4_2(X1,X2)
| ( X2 = cell23
& X1 = cell24 )
| ( X2 = cell24
& X1 = cell25 )
| ( X2 = cell25
& X1 = cell26 )
| ( X2 = cell26
& X1 = cell27 )
| ( X2 = cell27
& X1 = cell28 ) ) ),
inference(apply_def,[status(thm)],[c_0_157,c_0_162]) ).
fof(c_0_169,plain,
! [X2,X1] :
( epred3_2(X1,X2)
<=> ( epred2_2(X1,X2)
| ( X2 = cell12
& X1 = cell13 )
| ( X2 = cell13
& X1 = cell14 )
| ( X2 = cell14
& X1 = cell15 )
| ( X2 = cell15
& X1 = cell16 )
| ( X2 = cell16
& X1 = cell17 ) ) ),
inference(apply_def,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_170,plain,
~ epred6_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
fof(c_0_172,plain,
! [X21,X22] :
( ( X21 = cell27
| X21 = cell26
| X21 = cell25
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X21 = cell25
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X21 = cell25
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X21 = cell25
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X22 = cell26
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X22 = cell26
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X22 = cell26
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X22 = cell26
| X21 = cell24
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X21 = cell25
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X21 = cell25
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X21 = cell25
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X21 = cell25
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X22 = cell26
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X22 = cell26
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X22 = cell26
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X22 = cell26
| X22 = cell25
| X21 = cell23
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X21 = cell25
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X21 = cell25
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X21 = cell25
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X21 = cell25
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X22 = cell26
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X22 = cell26
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X22 = cell26
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X22 = cell26
| X21 = cell24
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X21 = cell25
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X21 = cell25
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X21 = cell25
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X21 = cell25
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X21 = cell26
| X22 = cell26
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X21 = cell26
| X22 = cell26
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X21 = cell27
| X22 = cell27
| X22 = cell26
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( X22 = cell28
| X22 = cell27
| X22 = cell26
| X22 = cell25
| X22 = cell24
| epred4_2(X22,X21)
| ~ epred5_2(X22,X21) )
& ( ~ epred4_2(X22,X21)
| epred5_2(X22,X21) )
& ( X21 != cell23
| X22 != cell24
| epred5_2(X22,X21) )
& ( X21 != cell24
| X22 != cell25
| epred5_2(X22,X21) )
& ( X21 != cell25
| X22 != cell26
| epred5_2(X22,X21) )
& ( X21 != cell26
| X22 != cell27
| epred5_2(X22,X21) )
& ( X21 != cell27
| X22 != cell28
| epred5_2(X22,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_168])])]) ).
fof(c_0_173,plain,
! [X2,X1] :
( epred4_2(X1,X2)
<=> ( epred3_2(X1,X2)
| ( X2 = cell17
& X1 = cell18 )
| ( X2 = cell18
& X1 = cell19 )
| ( X2 = cell19
& X1 = cell20 )
| ( X2 = cell21
& X1 = cell22 )
| ( X2 = cell22
& X1 = cell23 ) ) ),
inference(apply_def,[status(thm)],[c_0_162,c_0_163]) ).
fof(c_0_174,plain,
! [X17,X18] :
( ( X17 = cell16
| X17 = cell15
| X17 = cell14
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X17 = cell14
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X17 = cell14
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X17 = cell14
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X18 = cell15
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X18 = cell15
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X18 = cell15
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X18 = cell15
| X17 = cell13
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X17 = cell14
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X17 = cell14
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X17 = cell14
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X17 = cell14
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X18 = cell15
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X18 = cell15
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X18 = cell15
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X18 = cell15
| X18 = cell14
| X17 = cell12
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X17 = cell14
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X17 = cell14
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X17 = cell14
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X17 = cell14
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X18 = cell15
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X18 = cell15
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X18 = cell15
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X18 = cell15
| X17 = cell13
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X17 = cell14
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X17 = cell14
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X17 = cell14
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X17 = cell14
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X17 = cell15
| X18 = cell15
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X17 = cell15
| X18 = cell15
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X17 = cell16
| X18 = cell16
| X18 = cell15
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( X18 = cell17
| X18 = cell16
| X18 = cell15
| X18 = cell14
| X18 = cell13
| epred2_2(X18,X17)
| ~ epred3_2(X18,X17) )
& ( ~ epred2_2(X18,X17)
| epred3_2(X18,X17) )
& ( X17 != cell12
| X18 != cell13
| epred3_2(X18,X17) )
& ( X17 != cell13
| X18 != cell14
| epred3_2(X18,X17) )
& ( X17 != cell14
| X18 != cell15
| epred3_2(X18,X17) )
& ( X17 != cell15
| X18 != cell16
| epred3_2(X18,X17) )
& ( X17 != cell16
| X18 != cell17
| epred3_2(X18,X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_169])])]) ).
cnf(c_0_175,plain,
~ epred5_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
fof(c_0_177,plain,
! [X19,X20] :
( ( X19 = cell22
| X19 = cell21
| X19 = cell19
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X19 = cell19
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X19 = cell19
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X19 = cell19
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X20 = cell20
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X20 = cell20
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X20 = cell20
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X20 = cell20
| X19 = cell18
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X19 = cell19
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X19 = cell19
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X19 = cell19
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X19 = cell19
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X20 = cell20
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X20 = cell20
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X20 = cell20
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X20 = cell20
| X20 = cell19
| X19 = cell17
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X19 = cell19
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X19 = cell19
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X19 = cell19
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X19 = cell19
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X20 = cell20
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X20 = cell20
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X20 = cell20
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X20 = cell20
| X19 = cell18
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X19 = cell19
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X19 = cell19
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X19 = cell19
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X19 = cell19
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X19 = cell21
| X20 = cell20
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X19 = cell21
| X20 = cell20
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X19 = cell22
| X20 = cell22
| X20 = cell20
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( X20 = cell23
| X20 = cell22
| X20 = cell20
| X20 = cell19
| X20 = cell18
| epred3_2(X20,X19)
| ~ epred4_2(X20,X19) )
& ( ~ epred3_2(X20,X19)
| epred4_2(X20,X19) )
& ( X19 != cell17
| X20 != cell18
| epred4_2(X20,X19) )
& ( X19 != cell18
| X20 != cell19
| epred4_2(X20,X19) )
& ( X19 != cell19
| X20 != cell20
| epred4_2(X20,X19) )
& ( X19 != cell21
| X20 != cell22
| epred4_2(X20,X19) )
& ( X19 != cell22
| X20 != cell23
| epred4_2(X20,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_173])])]) ).
cnf(c_0_178,plain,
( epred3_2(X2,X1)
| X1 != cell12
| X2 != cell13 ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_179,plain,
~ epred4_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_181,plain,
epred3_2(cell13,cell12),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_178])]) ).
cnf(c_0_182,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ075+1 : TPTP v9.2.1. Released v3.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n029.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:34:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.64/1.84 % Version : CSE_E---1.7
% 1.64/1.84 % Problem : theBenchmark.p
% 1.64/1.84 % SZS status Theorem for theBenchmark.p
% 1.64/1.84 % SZS output start CNFRefutation
% See solution above
% 1.64/1.85 % Total time : 1.429s
%------------------------------------------------------------------------------