%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:00:03 PM UTC 2026
% Result : Theorem 1.11s 0.73s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 161
% Number of leaves : 173
% Syntax : Number of formulae : 1030 ( 156 unt; 170 def)
% Number of atoms : 36613 (34192 equ)
% Maximal formula atoms : 361 ( 35 avg)
% Number of connectives : 37293 (1710 ~;17802 |;17439 &)
% ( 342 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 21 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 174 ( 172 usr; 1 prp; 0-2 aty)
% Number of functors : 100 ( 100 usr; 100 con; 0-0 aty)
% Number of variables : 2090 (2090 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [TLH24985,TLH24986] :
( edge(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell90 )
| ( TLH24985 = cell99
& TLH24986 = cell89 )
| ( TLH24985 = cell98
& TLH24986 = cell88 )
| ( TLH24985 = cell97
& TLH24986 = cell87 )
| ( TLH24985 = cell96
& TLH24986 = cell86 )
| ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Y,X] :
( adj(X,Y)
<=> ( edge(Y,X)
| edge(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
adj(cell12,cell13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ adj(cell12,cell13),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,definition,
! [TLH24985,TLH24986] :
( sP0_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell89 )
| ( TLH24985 = cell98
& TLH24986 = cell88 )
| ( TLH24985 = cell97
& TLH24986 = cell87 )
| ( TLH24985 = cell96
& TLH24986 = cell86 )
| ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f6,plain,
! [TLH24985,TLH24986] :
( edge(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell90 )
| sP0_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1,f5]) ).
fof(f7,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell100
| TLH24986 != cell90 )
& ~ sP0_prd(TLH24986,TLH24985) )
| edge(TLH24986,TLH24985) )
& ( ( TLH24985 = cell100
& TLH24986 = cell90 )
| sP0_prd(TLH24986,TLH24985)
| ~ edge(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell100
| TLH24986 != cell90 )
& ~ sP0_prd(TLH24986,TLH24985) )
| edge(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell100
& TLH24986 = cell90 )
| sP0_prd(TLH24986,TLH24985)
| ~ edge(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sP0_prd(X0,X1)
| edge(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f13,plain,
! [Y,X] :
( ( ( ~ edge(Y,X)
& ~ edge(X,Y) )
| adj(X,Y) )
& ( edge(Y,X)
| edge(X,Y)
| ~ adj(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
( ! [Y,X] :
( ( ~ edge(Y,X)
& ~ edge(X,Y) )
| adj(X,Y) )
& ! [Y,X] :
( edge(Y,X)
| edge(X,Y)
| ~ adj(X,Y) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( ~ edge(X0,X1)
| adj(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f18,plain,
~ adj(cell12,cell13),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,definition,
! [TLH24985,TLH24986] :
( sP1_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell88 )
| ( TLH24985 = cell97
& TLH24986 = cell87 )
| ( TLH24985 = cell96
& TLH24986 = cell86 )
| ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f20,plain,
! [TLH24985,TLH24986] :
( sP0_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell89 )
| sP1_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f5,f19]) ).
fof(f21,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell99
| TLH24986 != cell89 )
& ~ sP1_prd(TLH24986,TLH24985) )
| sP0_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell99
& TLH24986 = cell89 )
| sP1_prd(TLH24986,TLH24985)
| ~ sP0_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell99
| TLH24986 != cell89 )
& ~ sP1_prd(TLH24986,TLH24985) )
| sP0_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell99
& TLH24986 = cell89 )
| sP1_prd(TLH24986,TLH24985)
| ~ sP0_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f25,plain,
! [X0,X1] :
( ~ sP1_prd(X0,X1)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f27,definition,
! [TLH24985,TLH24986] :
( sP2_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell87 )
| ( TLH24985 = cell96
& TLH24986 = cell86 )
| ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f28,plain,
! [TLH24985,TLH24986] :
( sP1_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell88 )
| sP2_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f19,f27]) ).
fof(f29,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell98
| TLH24986 != cell88 )
& ~ sP2_prd(TLH24986,TLH24985) )
| sP1_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell98
& TLH24986 = cell88 )
| sP2_prd(TLH24986,TLH24985)
| ~ sP1_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell98
| TLH24986 != cell88 )
& ~ sP2_prd(TLH24986,TLH24985) )
| sP1_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell98
& TLH24986 = cell88 )
| sP2_prd(TLH24986,TLH24985)
| ~ sP1_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2_prd(X0,X1)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f35,definition,
! [TLH24985,TLH24986] :
( sP3_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell86 )
| ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f36,plain,
! [TLH24985,TLH24986] :
( sP2_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell87 )
| sP3_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f27,f35]) ).
fof(f37,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell97
| TLH24986 != cell87 )
& ~ sP3_prd(TLH24986,TLH24985) )
| sP2_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell97
& TLH24986 = cell87 )
| sP3_prd(TLH24986,TLH24985)
| ~ sP2_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell97
| TLH24986 != cell87 )
& ~ sP3_prd(TLH24986,TLH24985) )
| sP2_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell97
& TLH24986 = cell87 )
| sP3_prd(TLH24986,TLH24985)
| ~ sP2_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ~ sP3_prd(X0,X1)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f43,definition,
! [TLH24985,TLH24986] :
( sP4_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell85 )
| ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f44,plain,
! [TLH24985,TLH24986] :
( sP3_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell86 )
| sP4_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f35,f43]) ).
fof(f45,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell96
| TLH24986 != cell86 )
& ~ sP4_prd(TLH24986,TLH24985) )
| sP3_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell96
& TLH24986 = cell86 )
| sP4_prd(TLH24986,TLH24985)
| ~ sP3_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell96
| TLH24986 != cell86 )
& ~ sP4_prd(TLH24986,TLH24985) )
| sP3_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell96
& TLH24986 = cell86 )
| sP4_prd(TLH24986,TLH24985)
| ~ sP3_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f49,plain,
! [X0,X1] :
( ~ sP4_prd(X0,X1)
| sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f51,definition,
! [TLH24985,TLH24986] :
( sP5_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell84 )
| ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f52,plain,
! [TLH24985,TLH24986] :
( sP4_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell85 )
| sP5_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f43,f51]) ).
fof(f53,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell95
| TLH24986 != cell85 )
& ~ sP5_prd(TLH24986,TLH24985) )
| sP4_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell95
& TLH24986 = cell85 )
| sP5_prd(TLH24986,TLH24985)
| ~ sP4_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell95
| TLH24986 != cell85 )
& ~ sP5_prd(TLH24986,TLH24985) )
| sP4_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell95
& TLH24986 = cell85 )
| sP5_prd(TLH24986,TLH24985)
| ~ sP4_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sP5_prd(X0,X1)
| sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f59,definition,
! [TLH24985,TLH24986] :
( sP6_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell83 )
| ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f60,plain,
! [TLH24985,TLH24986] :
( sP5_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell84 )
| sP6_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f51,f59]) ).
fof(f61,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell94
| TLH24986 != cell84 )
& ~ sP6_prd(TLH24986,TLH24985) )
| sP5_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell94
& TLH24986 = cell84 )
| sP6_prd(TLH24986,TLH24985)
| ~ sP5_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell94
| TLH24986 != cell84 )
& ~ sP6_prd(TLH24986,TLH24985) )
| sP5_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell94
& TLH24986 = cell84 )
| sP6_prd(TLH24986,TLH24985)
| ~ sP5_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP6_prd(X0,X1)
| sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f67,definition,
! [TLH24985,TLH24986] :
( sP7_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell82 )
| ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f68,plain,
! [TLH24985,TLH24986] :
( sP6_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell83 )
| sP7_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f59,f67]) ).
fof(f69,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell93
| TLH24986 != cell83 )
& ~ sP7_prd(TLH24986,TLH24985) )
| sP6_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell93
& TLH24986 = cell83 )
| sP7_prd(TLH24986,TLH24985)
| ~ sP6_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell93
| TLH24986 != cell83 )
& ~ sP7_prd(TLH24986,TLH24985) )
| sP6_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell93
& TLH24986 = cell83 )
| sP7_prd(TLH24986,TLH24985)
| ~ sP6_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f73,plain,
! [X0,X1] :
( ~ sP7_prd(X0,X1)
| sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,definition,
! [TLH24985,TLH24986] :
( sP8_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell91
& TLH24986 = cell81 )
| ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f76,plain,
! [TLH24985,TLH24986] :
( sP7_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell82 )
| sP8_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f67,f75]) ).
fof(f77,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell92
| TLH24986 != cell82 )
& ~ sP8_prd(TLH24986,TLH24985) )
| sP7_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell92
& TLH24986 = cell82 )
| sP8_prd(TLH24986,TLH24985)
| ~ sP7_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell92
| TLH24986 != cell82 )
& ~ sP8_prd(TLH24986,TLH24985) )
| sP7_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell92
& TLH24986 = cell82 )
| sP8_prd(TLH24986,TLH24985)
| ~ sP7_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f81,plain,
! [X0,X1] :
( ~ sP8_prd(X0,X1)
| sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f83,definition,
! [TLH24985,TLH24986] :
( sP9_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell80 )
| ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f84,plain,
! [TLH24985,TLH24986] :
( sP8_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell91
& TLH24986 = cell81 )
| sP9_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f75,f83]) ).
fof(f85,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell91
| TLH24986 != cell81 )
& ~ sP9_prd(TLH24986,TLH24985) )
| sP8_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell91
& TLH24986 = cell81 )
| sP9_prd(TLH24986,TLH24985)
| ~ sP8_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell91
| TLH24986 != cell81 )
& ~ sP9_prd(TLH24986,TLH24985) )
| sP8_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell91
& TLH24986 = cell81 )
| sP9_prd(TLH24986,TLH24985)
| ~ sP8_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sP9_prd(X0,X1)
| sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f91,definition,
! [TLH24985,TLH24986] :
( sP10_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell79 )
| ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f92,plain,
! [TLH24985,TLH24986] :
( sP9_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell80 )
| sP10_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f83,f91]) ).
fof(f93,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell90
| TLH24986 != cell80 )
& ~ sP10_prd(TLH24986,TLH24985) )
| sP9_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell90
& TLH24986 = cell80 )
| sP10_prd(TLH24986,TLH24985)
| ~ sP9_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell90
| TLH24986 != cell80 )
& ~ sP10_prd(TLH24986,TLH24985) )
| sP9_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell90
& TLH24986 = cell80 )
| sP10_prd(TLH24986,TLH24985)
| ~ sP9_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP10_prd(X0,X1)
| sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f99,definition,
! [TLH24985,TLH24986] :
( sP11_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell78 )
| ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f100,plain,
! [TLH24985,TLH24986] :
( sP10_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell79 )
| sP11_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f91,f99]) ).
fof(f101,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell89
| TLH24986 != cell79 )
& ~ sP11_prd(TLH24986,TLH24985) )
| sP10_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell89
& TLH24986 = cell79 )
| sP11_prd(TLH24986,TLH24985)
| ~ sP10_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell89
| TLH24986 != cell79 )
& ~ sP11_prd(TLH24986,TLH24985) )
| sP10_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell89
& TLH24986 = cell79 )
| sP11_prd(TLH24986,TLH24985)
| ~ sP10_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP11_prd(X0,X1)
| sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f107,definition,
! [TLH24985,TLH24986] :
( sP12_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell77 )
| ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f108,plain,
! [TLH24985,TLH24986] :
( sP11_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell78 )
| sP12_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f99,f107]) ).
fof(f109,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell88
| TLH24986 != cell78 )
& ~ sP12_prd(TLH24986,TLH24985) )
| sP11_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell88
& TLH24986 = cell78 )
| sP12_prd(TLH24986,TLH24985)
| ~ sP11_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell88
| TLH24986 != cell78 )
& ~ sP12_prd(TLH24986,TLH24985) )
| sP11_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell88
& TLH24986 = cell78 )
| sP12_prd(TLH24986,TLH24985)
| ~ sP11_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sP12_prd(X0,X1)
| sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f115,definition,
! [TLH24985,TLH24986] :
( sP13_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell76 )
| ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f116,plain,
! [TLH24985,TLH24986] :
( sP12_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell77 )
| sP13_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f107,f115]) ).
fof(f117,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell87
| TLH24986 != cell77 )
& ~ sP13_prd(TLH24986,TLH24985) )
| sP12_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell87
& TLH24986 = cell77 )
| sP13_prd(TLH24986,TLH24985)
| ~ sP12_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell87
| TLH24986 != cell77 )
& ~ sP13_prd(TLH24986,TLH24985) )
| sP12_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell87
& TLH24986 = cell77 )
| sP13_prd(TLH24986,TLH24985)
| ~ sP12_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sP13_prd(X0,X1)
| sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f123,definition,
! [TLH24985,TLH24986] :
( sP14_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell75 )
| ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f124,plain,
! [TLH24985,TLH24986] :
( sP13_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell76 )
| sP14_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f115,f123]) ).
fof(f125,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell86
| TLH24986 != cell76 )
& ~ sP14_prd(TLH24986,TLH24985) )
| sP13_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell86
& TLH24986 = cell76 )
| sP14_prd(TLH24986,TLH24985)
| ~ sP13_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell86
| TLH24986 != cell76 )
& ~ sP14_prd(TLH24986,TLH24985) )
| sP13_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell86
& TLH24986 = cell76 )
| sP14_prd(TLH24986,TLH24985)
| ~ sP13_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f129,plain,
! [X0,X1] :
( ~ sP14_prd(X0,X1)
| sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f131,definition,
! [TLH24985,TLH24986] :
( sP15_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell74 )
| ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f132,plain,
! [TLH24985,TLH24986] :
( sP14_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell75 )
| sP15_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f123,f131]) ).
fof(f133,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell85
| TLH24986 != cell75 )
& ~ sP15_prd(TLH24986,TLH24985) )
| sP14_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell85
& TLH24986 = cell75 )
| sP15_prd(TLH24986,TLH24985)
| ~ sP14_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell85
| TLH24986 != cell75 )
& ~ sP15_prd(TLH24986,TLH24985) )
| sP14_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell85
& TLH24986 = cell75 )
| sP15_prd(TLH24986,TLH24985)
| ~ sP14_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f137,plain,
! [X0,X1] :
( ~ sP15_prd(X0,X1)
| sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,definition,
! [TLH24985,TLH24986] :
( sP16_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell73 )
| ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f140,plain,
! [TLH24985,TLH24986] :
( sP15_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell74 )
| sP16_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f131,f139]) ).
fof(f141,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell84
| TLH24986 != cell74 )
& ~ sP16_prd(TLH24986,TLH24985) )
| sP15_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell84
& TLH24986 = cell74 )
| sP16_prd(TLH24986,TLH24985)
| ~ sP15_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell84
| TLH24986 != cell74 )
& ~ sP16_prd(TLH24986,TLH24985) )
| sP15_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell84
& TLH24986 = cell74 )
| sP16_prd(TLH24986,TLH24985)
| ~ sP15_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f141]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sP16_prd(X0,X1)
| sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,definition,
! [TLH24985,TLH24986] :
( sP17_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell72 )
| ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f148,plain,
! [TLH24985,TLH24986] :
( sP16_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell73 )
| sP17_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f139,f147]) ).
fof(f149,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell83
| TLH24986 != cell73 )
& ~ sP17_prd(TLH24986,TLH24985) )
| sP16_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell83
& TLH24986 = cell73 )
| sP17_prd(TLH24986,TLH24985)
| ~ sP16_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell83
| TLH24986 != cell73 )
& ~ sP17_prd(TLH24986,TLH24985) )
| sP16_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell83
& TLH24986 = cell73 )
| sP17_prd(TLH24986,TLH24985)
| ~ sP16_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f149]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sP17_prd(X0,X1)
| sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f155,definition,
! [TLH24985,TLH24986] :
( sP18_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell81
& TLH24986 = cell71 )
| ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f156,plain,
! [TLH24985,TLH24986] :
( sP17_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell72 )
| sP18_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f147,f155]) ).
fof(f157,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell82
| TLH24986 != cell72 )
& ~ sP18_prd(TLH24986,TLH24985) )
| sP17_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell82
& TLH24986 = cell72 )
| sP18_prd(TLH24986,TLH24985)
| ~ sP17_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell82
| TLH24986 != cell72 )
& ~ sP18_prd(TLH24986,TLH24985) )
| sP17_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell82
& TLH24986 = cell72 )
| sP18_prd(TLH24986,TLH24985)
| ~ sP17_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f157]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP18_prd(X0,X1)
| sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f163,definition,
! [TLH24985,TLH24986] :
( sP19_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell70 )
| ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f164,plain,
! [TLH24985,TLH24986] :
( sP18_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell81
& TLH24986 = cell71 )
| sP19_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f155,f163]) ).
fof(f165,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell81
| TLH24986 != cell71 )
& ~ sP19_prd(TLH24986,TLH24985) )
| sP18_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell81
& TLH24986 = cell71 )
| sP19_prd(TLH24986,TLH24985)
| ~ sP18_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell81
| TLH24986 != cell71 )
& ~ sP19_prd(TLH24986,TLH24985) )
| sP18_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell81
& TLH24986 = cell71 )
| sP19_prd(TLH24986,TLH24985)
| ~ sP18_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sP19_prd(X0,X1)
| sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f171,definition,
! [TLH24985,TLH24986] :
( sP20_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell69 )
| ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f172,plain,
! [TLH24985,TLH24986] :
( sP19_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell70 )
| sP20_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f163,f171]) ).
fof(f173,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell80
| TLH24986 != cell70 )
& ~ sP20_prd(TLH24986,TLH24985) )
| sP19_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell80
& TLH24986 = cell70 )
| sP20_prd(TLH24986,TLH24985)
| ~ sP19_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell80
| TLH24986 != cell70 )
& ~ sP20_prd(TLH24986,TLH24985) )
| sP19_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell80
& TLH24986 = cell70 )
| sP20_prd(TLH24986,TLH24985)
| ~ sP19_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f177,plain,
! [X0,X1] :
( ~ sP20_prd(X0,X1)
| sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f179,definition,
! [TLH24985,TLH24986] :
( sP21_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell68 )
| ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f180,plain,
! [TLH24985,TLH24986] :
( sP20_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell69 )
| sP21_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f171,f179]) ).
fof(f181,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell79
| TLH24986 != cell69 )
& ~ sP21_prd(TLH24986,TLH24985) )
| sP20_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell79
& TLH24986 = cell69 )
| sP21_prd(TLH24986,TLH24985)
| ~ sP20_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell79
| TLH24986 != cell69 )
& ~ sP21_prd(TLH24986,TLH24985) )
| sP20_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell79
& TLH24986 = cell69 )
| sP21_prd(TLH24986,TLH24985)
| ~ sP20_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f181]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sP21_prd(X0,X1)
| sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f187,definition,
! [TLH24985,TLH24986] :
( sP22_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell67 )
| ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f188,plain,
! [TLH24985,TLH24986] :
( sP21_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell68 )
| sP22_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f179,f187]) ).
fof(f189,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell78
| TLH24986 != cell68 )
& ~ sP22_prd(TLH24986,TLH24985) )
| sP21_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell78
& TLH24986 = cell68 )
| sP22_prd(TLH24986,TLH24985)
| ~ sP21_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell78
| TLH24986 != cell68 )
& ~ sP22_prd(TLH24986,TLH24985) )
| sP21_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell78
& TLH24986 = cell68 )
| sP22_prd(TLH24986,TLH24985)
| ~ sP21_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f189]) ).
fof(f193,plain,
! [X0,X1] :
( ~ sP22_prd(X0,X1)
| sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f195,definition,
! [TLH24985,TLH24986] :
( sP23_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell66 )
| ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f196,plain,
! [TLH24985,TLH24986] :
( sP22_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell67 )
| sP23_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f187,f195]) ).
fof(f197,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell77
| TLH24986 != cell67 )
& ~ sP23_prd(TLH24986,TLH24985) )
| sP22_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell77
& TLH24986 = cell67 )
| sP23_prd(TLH24986,TLH24985)
| ~ sP22_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell77
| TLH24986 != cell67 )
& ~ sP23_prd(TLH24986,TLH24985) )
| sP22_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell77
& TLH24986 = cell67 )
| sP23_prd(TLH24986,TLH24985)
| ~ sP22_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f201,plain,
! [X0,X1] :
( ~ sP23_prd(X0,X1)
| sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f203,definition,
! [TLH24985,TLH24986] :
( sP24_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell65 )
| ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f204,plain,
! [TLH24985,TLH24986] :
( sP23_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell66 )
| sP24_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f195,f203]) ).
fof(f205,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell76
| TLH24986 != cell66 )
& ~ sP24_prd(TLH24986,TLH24985) )
| sP23_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell76
& TLH24986 = cell66 )
| sP24_prd(TLH24986,TLH24985)
| ~ sP23_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell76
| TLH24986 != cell66 )
& ~ sP24_prd(TLH24986,TLH24985) )
| sP23_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell76
& TLH24986 = cell66 )
| sP24_prd(TLH24986,TLH24985)
| ~ sP23_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f205]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sP24_prd(X0,X1)
| sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f211,definition,
! [TLH24985,TLH24986] :
( sP25_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell64 )
| ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f212,plain,
! [TLH24985,TLH24986] :
( sP24_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell65 )
| sP25_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f203,f211]) ).
fof(f213,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell75
| TLH24986 != cell65 )
& ~ sP25_prd(TLH24986,TLH24985) )
| sP24_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell75
& TLH24986 = cell65 )
| sP25_prd(TLH24986,TLH24985)
| ~ sP24_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell75
| TLH24986 != cell65 )
& ~ sP25_prd(TLH24986,TLH24985) )
| sP24_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell75
& TLH24986 = cell65 )
| sP25_prd(TLH24986,TLH24985)
| ~ sP24_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sP25_prd(X0,X1)
| sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f219,definition,
! [TLH24985,TLH24986] :
( sP26_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell63 )
| ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f220,plain,
! [TLH24985,TLH24986] :
( sP25_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell64 )
| sP26_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f211,f219]) ).
fof(f221,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell74
| TLH24986 != cell64 )
& ~ sP26_prd(TLH24986,TLH24985) )
| sP25_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell74
& TLH24986 = cell64 )
| sP26_prd(TLH24986,TLH24985)
| ~ sP25_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell74
| TLH24986 != cell64 )
& ~ sP26_prd(TLH24986,TLH24985) )
| sP25_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell74
& TLH24986 = cell64 )
| sP26_prd(TLH24986,TLH24985)
| ~ sP25_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f221]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sP26_prd(X0,X1)
| sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f227,definition,
! [TLH24985,TLH24986] :
( sP27_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell62 )
| ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f228,plain,
! [TLH24985,TLH24986] :
( sP26_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell63 )
| sP27_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f219,f227]) ).
fof(f229,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell73
| TLH24986 != cell63 )
& ~ sP27_prd(TLH24986,TLH24985) )
| sP26_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell73
& TLH24986 = cell63 )
| sP27_prd(TLH24986,TLH24985)
| ~ sP26_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell73
| TLH24986 != cell63 )
& ~ sP27_prd(TLH24986,TLH24985) )
| sP26_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell73
& TLH24986 = cell63 )
| sP27_prd(TLH24986,TLH24985)
| ~ sP26_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f229]) ).
fof(f233,plain,
! [X0,X1] :
( ~ sP27_prd(X0,X1)
| sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,definition,
! [TLH24985,TLH24986] :
( sP28_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell71
& TLH24986 = cell61 )
| ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f236,plain,
! [TLH24985,TLH24986] :
( sP27_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell62 )
| sP28_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f227,f235]) ).
fof(f237,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell72
| TLH24986 != cell62 )
& ~ sP28_prd(TLH24986,TLH24985) )
| sP27_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell72
& TLH24986 = cell62 )
| sP28_prd(TLH24986,TLH24985)
| ~ sP27_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell72
| TLH24986 != cell62 )
& ~ sP28_prd(TLH24986,TLH24985) )
| sP27_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell72
& TLH24986 = cell62 )
| sP28_prd(TLH24986,TLH24985)
| ~ sP27_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f237]) ).
fof(f241,plain,
! [X0,X1] :
( ~ sP28_prd(X0,X1)
| sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f243,definition,
! [TLH24985,TLH24986] :
( sP29_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell60 )
| ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f244,plain,
! [TLH24985,TLH24986] :
( sP28_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell71
& TLH24986 = cell61 )
| sP29_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f235,f243]) ).
fof(f245,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell71
| TLH24986 != cell61 )
& ~ sP29_prd(TLH24986,TLH24985) )
| sP28_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell71
& TLH24986 = cell61 )
| sP29_prd(TLH24986,TLH24985)
| ~ sP28_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell71
| TLH24986 != cell61 )
& ~ sP29_prd(TLH24986,TLH24985) )
| sP28_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell71
& TLH24986 = cell61 )
| sP29_prd(TLH24986,TLH24985)
| ~ sP28_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f245]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sP29_prd(X0,X1)
| sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f251,definition,
! [TLH24985,TLH24986] :
( sP30_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell59 )
| ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f252,plain,
! [TLH24985,TLH24986] :
( sP29_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell60 )
| sP30_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f243,f251]) ).
fof(f253,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell70
| TLH24986 != cell60 )
& ~ sP30_prd(TLH24986,TLH24985) )
| sP29_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell70
& TLH24986 = cell60 )
| sP30_prd(TLH24986,TLH24985)
| ~ sP29_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell70
| TLH24986 != cell60 )
& ~ sP30_prd(TLH24986,TLH24985) )
| sP29_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell70
& TLH24986 = cell60 )
| sP30_prd(TLH24986,TLH24985)
| ~ sP29_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f253]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP30_prd(X0,X1)
| sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f259,definition,
! [TLH24985,TLH24986] :
( sP31_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell58 )
| ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f260,plain,
! [TLH24985,TLH24986] :
( sP30_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell59 )
| sP31_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f251,f259]) ).
fof(f261,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell69
| TLH24986 != cell59 )
& ~ sP31_prd(TLH24986,TLH24985) )
| sP30_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell69
& TLH24986 = cell59 )
| sP31_prd(TLH24986,TLH24985)
| ~ sP30_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell69
| TLH24986 != cell59 )
& ~ sP31_prd(TLH24986,TLH24985) )
| sP30_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell69
& TLH24986 = cell59 )
| sP31_prd(TLH24986,TLH24985)
| ~ sP30_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f261]) ).
fof(f265,plain,
! [X0,X1] :
( ~ sP31_prd(X0,X1)
| sP30_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f267,definition,
! [TLH24985,TLH24986] :
( sP32_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell57 )
| ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f268,plain,
! [TLH24985,TLH24986] :
( sP31_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell58 )
| sP32_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f259,f267]) ).
fof(f269,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell68
| TLH24986 != cell58 )
& ~ sP32_prd(TLH24986,TLH24985) )
| sP31_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell68
& TLH24986 = cell58 )
| sP32_prd(TLH24986,TLH24985)
| ~ sP31_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell68
| TLH24986 != cell58 )
& ~ sP32_prd(TLH24986,TLH24985) )
| sP31_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell68
& TLH24986 = cell58 )
| sP32_prd(TLH24986,TLH24985)
| ~ sP31_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f269]) ).
fof(f273,plain,
! [X0,X1] :
( ~ sP32_prd(X0,X1)
| sP31_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f275,definition,
! [TLH24985,TLH24986] :
( sP33_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell56 )
| ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f276,plain,
! [TLH24985,TLH24986] :
( sP32_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell57 )
| sP33_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f267,f275]) ).
fof(f277,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell67
| TLH24986 != cell57 )
& ~ sP33_prd(TLH24986,TLH24985) )
| sP32_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell67
& TLH24986 = cell57 )
| sP33_prd(TLH24986,TLH24985)
| ~ sP32_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f276]) ).
fof(f278,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell67
| TLH24986 != cell57 )
& ~ sP33_prd(TLH24986,TLH24985) )
| sP32_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell67
& TLH24986 = cell57 )
| sP33_prd(TLH24986,TLH24985)
| ~ sP32_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f277]) ).
fof(f281,plain,
! [X0,X1] :
( ~ sP33_prd(X0,X1)
| sP32_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f283,definition,
! [TLH24985,TLH24986] :
( sP34_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell55 )
| ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f284,plain,
! [TLH24985,TLH24986] :
( sP33_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell56 )
| sP34_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f275,f283]) ).
fof(f285,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell66
| TLH24986 != cell56 )
& ~ sP34_prd(TLH24986,TLH24985) )
| sP33_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell66
& TLH24986 = cell56 )
| sP34_prd(TLH24986,TLH24985)
| ~ sP33_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell66
| TLH24986 != cell56 )
& ~ sP34_prd(TLH24986,TLH24985) )
| sP33_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell66
& TLH24986 = cell56 )
| sP34_prd(TLH24986,TLH24985)
| ~ sP33_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f285]) ).
fof(f289,plain,
! [X0,X1] :
( ~ sP34_prd(X0,X1)
| sP33_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f286]) ).
fof(f291,definition,
! [TLH24985,TLH24986] :
( sP35_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell54 )
| ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f292,plain,
! [TLH24985,TLH24986] :
( sP34_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell55 )
| sP35_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f283,f291]) ).
fof(f293,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell65
| TLH24986 != cell55 )
& ~ sP35_prd(TLH24986,TLH24985) )
| sP34_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell65
& TLH24986 = cell55 )
| sP35_prd(TLH24986,TLH24985)
| ~ sP34_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell65
| TLH24986 != cell55 )
& ~ sP35_prd(TLH24986,TLH24985) )
| sP34_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell65
& TLH24986 = cell55 )
| sP35_prd(TLH24986,TLH24985)
| ~ sP34_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sP35_prd(X0,X1)
| sP34_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f299,definition,
! [TLH24985,TLH24986] :
( sP36_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell53 )
| ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f300,plain,
! [TLH24985,TLH24986] :
( sP35_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell54 )
| sP36_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f291,f299]) ).
fof(f301,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell64
| TLH24986 != cell54 )
& ~ sP36_prd(TLH24986,TLH24985) )
| sP35_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell64
& TLH24986 = cell54 )
| sP36_prd(TLH24986,TLH24985)
| ~ sP35_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell64
| TLH24986 != cell54 )
& ~ sP36_prd(TLH24986,TLH24985) )
| sP35_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell64
& TLH24986 = cell54 )
| sP36_prd(TLH24986,TLH24985)
| ~ sP35_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f301]) ).
fof(f305,plain,
! [X0,X1] :
( ~ sP36_prd(X0,X1)
| sP35_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f307,definition,
! [TLH24985,TLH24986] :
( sP37_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell52 )
| ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f308,plain,
! [TLH24985,TLH24986] :
( sP36_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell53 )
| sP37_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f299,f307]) ).
fof(f309,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell63
| TLH24986 != cell53 )
& ~ sP37_prd(TLH24986,TLH24985) )
| sP36_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell63
& TLH24986 = cell53 )
| sP37_prd(TLH24986,TLH24985)
| ~ sP36_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell63
| TLH24986 != cell53 )
& ~ sP37_prd(TLH24986,TLH24985) )
| sP36_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell63
& TLH24986 = cell53 )
| sP37_prd(TLH24986,TLH24985)
| ~ sP36_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f309]) ).
fof(f313,plain,
! [X0,X1] :
( ~ sP37_prd(X0,X1)
| sP36_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f315,definition,
! [TLH24985,TLH24986] :
( sP38_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell61
& TLH24986 = cell51 )
| ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f316,plain,
! [TLH24985,TLH24986] :
( sP37_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell52 )
| sP38_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f307,f315]) ).
fof(f317,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell62
| TLH24986 != cell52 )
& ~ sP38_prd(TLH24986,TLH24985) )
| sP37_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell62
& TLH24986 = cell52 )
| sP38_prd(TLH24986,TLH24985)
| ~ sP37_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell62
| TLH24986 != cell52 )
& ~ sP38_prd(TLH24986,TLH24985) )
| sP37_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell62
& TLH24986 = cell52 )
| sP38_prd(TLH24986,TLH24985)
| ~ sP37_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f317]) ).
fof(f321,plain,
! [X0,X1] :
( ~ sP38_prd(X0,X1)
| sP37_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f323,definition,
! [TLH24985,TLH24986] :
( sP39_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell50 )
| ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f324,plain,
! [TLH24985,TLH24986] :
( sP38_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell61
& TLH24986 = cell51 )
| sP39_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f315,f323]) ).
fof(f325,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell61
| TLH24986 != cell51 )
& ~ sP39_prd(TLH24986,TLH24985) )
| sP38_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell61
& TLH24986 = cell51 )
| sP39_prd(TLH24986,TLH24985)
| ~ sP38_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell61
| TLH24986 != cell51 )
& ~ sP39_prd(TLH24986,TLH24985) )
| sP38_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell61
& TLH24986 = cell51 )
| sP39_prd(TLH24986,TLH24985)
| ~ sP38_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f325]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sP39_prd(X0,X1)
| sP38_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,definition,
! [TLH24985,TLH24986] :
( sP40_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell49 )
| ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f332,plain,
! [TLH24985,TLH24986] :
( sP39_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell50 )
| sP40_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f323,f331]) ).
fof(f333,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell60
| TLH24986 != cell50 )
& ~ sP40_prd(TLH24986,TLH24985) )
| sP39_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell60
& TLH24986 = cell50 )
| sP40_prd(TLH24986,TLH24985)
| ~ sP39_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell60
| TLH24986 != cell50 )
& ~ sP40_prd(TLH24986,TLH24985) )
| sP39_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell60
& TLH24986 = cell50 )
| sP40_prd(TLH24986,TLH24985)
| ~ sP39_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f333]) ).
fof(f337,plain,
! [X0,X1] :
( ~ sP40_prd(X0,X1)
| sP39_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f339,definition,
! [TLH24985,TLH24986] :
( sP41_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell48 )
| ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f340,plain,
! [TLH24985,TLH24986] :
( sP40_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell49 )
| sP41_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f331,f339]) ).
fof(f341,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell59
| TLH24986 != cell49 )
& ~ sP41_prd(TLH24986,TLH24985) )
| sP40_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell59
& TLH24986 = cell49 )
| sP41_prd(TLH24986,TLH24985)
| ~ sP40_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell59
| TLH24986 != cell49 )
& ~ sP41_prd(TLH24986,TLH24985) )
| sP40_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell59
& TLH24986 = cell49 )
| sP41_prd(TLH24986,TLH24985)
| ~ sP40_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f341]) ).
fof(f345,plain,
! [X0,X1] :
( ~ sP41_prd(X0,X1)
| sP40_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f347,definition,
! [TLH24985,TLH24986] :
( sP42_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell47 )
| ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f348,plain,
! [TLH24985,TLH24986] :
( sP41_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell48 )
| sP42_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f339,f347]) ).
fof(f349,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell58
| TLH24986 != cell48 )
& ~ sP42_prd(TLH24986,TLH24985) )
| sP41_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell58
& TLH24986 = cell48 )
| sP42_prd(TLH24986,TLH24985)
| ~ sP41_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell58
| TLH24986 != cell48 )
& ~ sP42_prd(TLH24986,TLH24985) )
| sP41_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell58
& TLH24986 = cell48 )
| sP42_prd(TLH24986,TLH24985)
| ~ sP41_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f349]) ).
fof(f353,plain,
! [X0,X1] :
( ~ sP42_prd(X0,X1)
| sP41_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,definition,
! [TLH24985,TLH24986] :
( sP43_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell46 )
| ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f356,plain,
! [TLH24985,TLH24986] :
( sP42_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell47 )
| sP43_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f347,f355]) ).
fof(f357,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell57
| TLH24986 != cell47 )
& ~ sP43_prd(TLH24986,TLH24985) )
| sP42_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell57
& TLH24986 = cell47 )
| sP43_prd(TLH24986,TLH24985)
| ~ sP42_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell57
| TLH24986 != cell47 )
& ~ sP43_prd(TLH24986,TLH24985) )
| sP42_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell57
& TLH24986 = cell47 )
| sP43_prd(TLH24986,TLH24985)
| ~ sP42_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f357]) ).
fof(f361,plain,
! [X0,X1] :
( ~ sP43_prd(X0,X1)
| sP42_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f363,definition,
! [TLH24985,TLH24986] :
( sP44_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell45 )
| ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f364,plain,
! [TLH24985,TLH24986] :
( sP43_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell46 )
| sP44_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f355,f363]) ).
fof(f365,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell56
| TLH24986 != cell46 )
& ~ sP44_prd(TLH24986,TLH24985) )
| sP43_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell56
& TLH24986 = cell46 )
| sP44_prd(TLH24986,TLH24985)
| ~ sP43_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell56
| TLH24986 != cell46 )
& ~ sP44_prd(TLH24986,TLH24985) )
| sP43_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell56
& TLH24986 = cell46 )
| sP44_prd(TLH24986,TLH24985)
| ~ sP43_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f365]) ).
fof(f369,plain,
! [X0,X1] :
( ~ sP44_prd(X0,X1)
| sP43_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f371,definition,
! [TLH24985,TLH24986] :
( sP45_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell44 )
| ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f372,plain,
! [TLH24985,TLH24986] :
( sP44_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell45 )
| sP45_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f363,f371]) ).
fof(f373,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell55
| TLH24986 != cell45 )
& ~ sP45_prd(TLH24986,TLH24985) )
| sP44_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell55
& TLH24986 = cell45 )
| sP45_prd(TLH24986,TLH24985)
| ~ sP44_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell55
| TLH24986 != cell45 )
& ~ sP45_prd(TLH24986,TLH24985) )
| sP44_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell55
& TLH24986 = cell45 )
| sP45_prd(TLH24986,TLH24985)
| ~ sP44_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f373]) ).
fof(f377,plain,
! [X0,X1] :
( ~ sP45_prd(X0,X1)
| sP44_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f379,definition,
! [TLH24985,TLH24986] :
( sP46_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell43 )
| ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f380,plain,
! [TLH24985,TLH24986] :
( sP45_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell44 )
| sP46_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f371,f379]) ).
fof(f381,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell54
| TLH24986 != cell44 )
& ~ sP46_prd(TLH24986,TLH24985) )
| sP45_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell54
& TLH24986 = cell44 )
| sP46_prd(TLH24986,TLH24985)
| ~ sP45_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell54
| TLH24986 != cell44 )
& ~ sP46_prd(TLH24986,TLH24985) )
| sP45_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell54
& TLH24986 = cell44 )
| sP46_prd(TLH24986,TLH24985)
| ~ sP45_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sP46_prd(X0,X1)
| sP45_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f387,definition,
! [TLH24985,TLH24986] :
( sP47_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell42 )
| ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f388,plain,
! [TLH24985,TLH24986] :
( sP46_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell43 )
| sP47_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f379,f387]) ).
fof(f389,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell53
| TLH24986 != cell43 )
& ~ sP47_prd(TLH24986,TLH24985) )
| sP46_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell53
& TLH24986 = cell43 )
| sP47_prd(TLH24986,TLH24985)
| ~ sP46_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell53
| TLH24986 != cell43 )
& ~ sP47_prd(TLH24986,TLH24985) )
| sP46_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell53
& TLH24986 = cell43 )
| sP47_prd(TLH24986,TLH24985)
| ~ sP46_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f389]) ).
fof(f393,plain,
! [X0,X1] :
( ~ sP47_prd(X0,X1)
| sP46_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f395,definition,
! [TLH24985,TLH24986] :
( sP48_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell51
& TLH24986 = cell41 )
| ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f396,plain,
! [TLH24985,TLH24986] :
( sP47_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell42 )
| sP48_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f387,f395]) ).
fof(f397,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell52
| TLH24986 != cell42 )
& ~ sP48_prd(TLH24986,TLH24985) )
| sP47_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell52
& TLH24986 = cell42 )
| sP48_prd(TLH24986,TLH24985)
| ~ sP47_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell52
| TLH24986 != cell42 )
& ~ sP48_prd(TLH24986,TLH24985) )
| sP47_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell52
& TLH24986 = cell42 )
| sP48_prd(TLH24986,TLH24985)
| ~ sP47_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f397]) ).
fof(f401,plain,
! [X0,X1] :
( ~ sP48_prd(X0,X1)
| sP47_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f403,definition,
! [TLH24985,TLH24986] :
( sP49_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell40 )
| ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f404,plain,
! [TLH24985,TLH24986] :
( sP48_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell51
& TLH24986 = cell41 )
| sP49_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f395,f403]) ).
fof(f405,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell51
| TLH24986 != cell41 )
& ~ sP49_prd(TLH24986,TLH24985) )
| sP48_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell51
& TLH24986 = cell41 )
| sP49_prd(TLH24986,TLH24985)
| ~ sP48_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell51
| TLH24986 != cell41 )
& ~ sP49_prd(TLH24986,TLH24985) )
| sP48_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell51
& TLH24986 = cell41 )
| sP49_prd(TLH24986,TLH24985)
| ~ sP48_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f405]) ).
fof(f409,plain,
! [X0,X1] :
( ~ sP49_prd(X0,X1)
| sP48_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f411,definition,
! [TLH24985,TLH24986] :
( sP50_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell39 )
| ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f412,plain,
! [TLH24985,TLH24986] :
( sP49_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell40 )
| sP50_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f403,f411]) ).
fof(f413,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell50
| TLH24986 != cell40 )
& ~ sP50_prd(TLH24986,TLH24985) )
| sP49_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell50
& TLH24986 = cell40 )
| sP50_prd(TLH24986,TLH24985)
| ~ sP49_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell50
| TLH24986 != cell40 )
& ~ sP50_prd(TLH24986,TLH24985) )
| sP49_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell50
& TLH24986 = cell40 )
| sP50_prd(TLH24986,TLH24985)
| ~ sP49_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f413]) ).
fof(f417,plain,
! [X0,X1] :
( ~ sP50_prd(X0,X1)
| sP49_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f419,definition,
! [TLH24985,TLH24986] :
( sP51_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell38 )
| ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f420,plain,
! [TLH24985,TLH24986] :
( sP50_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell39 )
| sP51_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f411,f419]) ).
fof(f421,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell49
| TLH24986 != cell39 )
& ~ sP51_prd(TLH24986,TLH24985) )
| sP50_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell49
& TLH24986 = cell39 )
| sP51_prd(TLH24986,TLH24985)
| ~ sP50_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f420]) ).
fof(f422,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell49
| TLH24986 != cell39 )
& ~ sP51_prd(TLH24986,TLH24985) )
| sP50_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell49
& TLH24986 = cell39 )
| sP51_prd(TLH24986,TLH24985)
| ~ sP50_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f421]) ).
fof(f425,plain,
! [X0,X1] :
( ~ sP51_prd(X0,X1)
| sP50_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f427,definition,
! [TLH24985,TLH24986] :
( sP52_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell37 )
| ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f428,plain,
! [TLH24985,TLH24986] :
( sP51_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell38 )
| sP52_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f419,f427]) ).
fof(f429,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell48
| TLH24986 != cell38 )
& ~ sP52_prd(TLH24986,TLH24985) )
| sP51_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell48
& TLH24986 = cell38 )
| sP52_prd(TLH24986,TLH24985)
| ~ sP51_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell48
| TLH24986 != cell38 )
& ~ sP52_prd(TLH24986,TLH24985) )
| sP51_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell48
& TLH24986 = cell38 )
| sP52_prd(TLH24986,TLH24985)
| ~ sP51_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f429]) ).
fof(f433,plain,
! [X0,X1] :
( ~ sP52_prd(X0,X1)
| sP51_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f435,definition,
! [TLH24985,TLH24986] :
( sP53_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell36 )
| ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f436,plain,
! [TLH24985,TLH24986] :
( sP52_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell37 )
| sP53_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f427,f435]) ).
fof(f437,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell47
| TLH24986 != cell37 )
& ~ sP53_prd(TLH24986,TLH24985) )
| sP52_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell47
& TLH24986 = cell37 )
| sP53_prd(TLH24986,TLH24985)
| ~ sP52_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell47
| TLH24986 != cell37 )
& ~ sP53_prd(TLH24986,TLH24985) )
| sP52_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell47
& TLH24986 = cell37 )
| sP53_prd(TLH24986,TLH24985)
| ~ sP52_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f437]) ).
fof(f441,plain,
! [X0,X1] :
( ~ sP53_prd(X0,X1)
| sP52_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f443,definition,
! [TLH24985,TLH24986] :
( sP54_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell35 )
| ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f444,plain,
! [TLH24985,TLH24986] :
( sP53_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell36 )
| sP54_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f435,f443]) ).
fof(f445,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell46
| TLH24986 != cell36 )
& ~ sP54_prd(TLH24986,TLH24985) )
| sP53_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell46
& TLH24986 = cell36 )
| sP54_prd(TLH24986,TLH24985)
| ~ sP53_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f446,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell46
| TLH24986 != cell36 )
& ~ sP54_prd(TLH24986,TLH24985) )
| sP53_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell46
& TLH24986 = cell36 )
| sP54_prd(TLH24986,TLH24985)
| ~ sP53_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f445]) ).
fof(f449,plain,
! [X0,X1] :
( ~ sP54_prd(X0,X1)
| sP53_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f451,definition,
! [TLH24985,TLH24986] :
( sP55_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell34 )
| ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f452,plain,
! [TLH24985,TLH24986] :
( sP54_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell35 )
| sP55_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f443,f451]) ).
fof(f453,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell45
| TLH24986 != cell35 )
& ~ sP55_prd(TLH24986,TLH24985) )
| sP54_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell45
& TLH24986 = cell35 )
| sP55_prd(TLH24986,TLH24985)
| ~ sP54_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell45
| TLH24986 != cell35 )
& ~ sP55_prd(TLH24986,TLH24985) )
| sP54_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell45
& TLH24986 = cell35 )
| sP55_prd(TLH24986,TLH24985)
| ~ sP54_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f453]) ).
fof(f457,plain,
! [X0,X1] :
( ~ sP55_prd(X0,X1)
| sP54_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f459,definition,
! [TLH24985,TLH24986] :
( sP56_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell33 )
| ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f460,plain,
! [TLH24985,TLH24986] :
( sP55_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell34 )
| sP56_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f451,f459]) ).
fof(f461,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell44
| TLH24986 != cell34 )
& ~ sP56_prd(TLH24986,TLH24985) )
| sP55_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell44
& TLH24986 = cell34 )
| sP56_prd(TLH24986,TLH24985)
| ~ sP55_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell44
| TLH24986 != cell34 )
& ~ sP56_prd(TLH24986,TLH24985) )
| sP55_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell44
& TLH24986 = cell34 )
| sP56_prd(TLH24986,TLH24985)
| ~ sP55_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f461]) ).
fof(f465,plain,
! [X0,X1] :
( ~ sP56_prd(X0,X1)
| sP55_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f467,definition,
! [TLH24985,TLH24986] :
( sP57_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell32 )
| ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f468,plain,
! [TLH24985,TLH24986] :
( sP56_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell33 )
| sP57_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f459,f467]) ).
fof(f469,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell43
| TLH24986 != cell33 )
& ~ sP57_prd(TLH24986,TLH24985) )
| sP56_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell43
& TLH24986 = cell33 )
| sP57_prd(TLH24986,TLH24985)
| ~ sP56_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f468]) ).
fof(f470,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell43
| TLH24986 != cell33 )
& ~ sP57_prd(TLH24986,TLH24985) )
| sP56_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell43
& TLH24986 = cell33 )
| sP57_prd(TLH24986,TLH24985)
| ~ sP56_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f469]) ).
fof(f473,plain,
! [X0,X1] :
( ~ sP57_prd(X0,X1)
| sP56_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f475,definition,
! [TLH24985,TLH24986] :
( sP58_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell41
& TLH24986 = cell31 )
| ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f476,plain,
! [TLH24985,TLH24986] :
( sP57_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell32 )
| sP58_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f467,f475]) ).
fof(f477,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell42
| TLH24986 != cell32 )
& ~ sP58_prd(TLH24986,TLH24985) )
| sP57_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell42
& TLH24986 = cell32 )
| sP58_prd(TLH24986,TLH24985)
| ~ sP57_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f476]) ).
fof(f478,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell42
| TLH24986 != cell32 )
& ~ sP58_prd(TLH24986,TLH24985) )
| sP57_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell42
& TLH24986 = cell32 )
| sP58_prd(TLH24986,TLH24985)
| ~ sP57_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f477]) ).
fof(f481,plain,
! [X0,X1] :
( ~ sP58_prd(X0,X1)
| sP57_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f483,definition,
! [TLH24985,TLH24986] :
( sP59_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell30 )
| ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f484,plain,
! [TLH24985,TLH24986] :
( sP58_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell41
& TLH24986 = cell31 )
| sP59_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f475,f483]) ).
fof(f485,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell41
| TLH24986 != cell31 )
& ~ sP59_prd(TLH24986,TLH24985) )
| sP58_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell41
& TLH24986 = cell31 )
| sP59_prd(TLH24986,TLH24985)
| ~ sP58_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f484]) ).
fof(f486,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell41
| TLH24986 != cell31 )
& ~ sP59_prd(TLH24986,TLH24985) )
| sP58_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell41
& TLH24986 = cell31 )
| sP59_prd(TLH24986,TLH24985)
| ~ sP58_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f485]) ).
fof(f489,plain,
! [X0,X1] :
( ~ sP59_prd(X0,X1)
| sP58_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f491,definition,
! [TLH24985,TLH24986] :
( sP60_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell29 )
| ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f492,plain,
! [TLH24985,TLH24986] :
( sP59_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell30 )
| sP60_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f483,f491]) ).
fof(f493,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell40
| TLH24986 != cell30 )
& ~ sP60_prd(TLH24986,TLH24985) )
| sP59_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell40
& TLH24986 = cell30 )
| sP60_prd(TLH24986,TLH24985)
| ~ sP59_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f492]) ).
fof(f494,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell40
| TLH24986 != cell30 )
& ~ sP60_prd(TLH24986,TLH24985) )
| sP59_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell40
& TLH24986 = cell30 )
| sP60_prd(TLH24986,TLH24985)
| ~ sP59_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f493]) ).
fof(f497,plain,
! [X0,X1] :
( ~ sP60_prd(X0,X1)
| sP59_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f499,definition,
! [TLH24985,TLH24986] :
( sP61_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell28 )
| ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f500,plain,
! [TLH24985,TLH24986] :
( sP60_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell29 )
| sP61_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f491,f499]) ).
fof(f501,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell39
| TLH24986 != cell29 )
& ~ sP61_prd(TLH24986,TLH24985) )
| sP60_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell39
& TLH24986 = cell29 )
| sP61_prd(TLH24986,TLH24985)
| ~ sP60_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell39
| TLH24986 != cell29 )
& ~ sP61_prd(TLH24986,TLH24985) )
| sP60_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell39
& TLH24986 = cell29 )
| sP61_prd(TLH24986,TLH24985)
| ~ sP60_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f501]) ).
fof(f505,plain,
! [X0,X1] :
( ~ sP61_prd(X0,X1)
| sP60_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f507,definition,
! [TLH24985,TLH24986] :
( sP62_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell27 )
| ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f508,plain,
! [TLH24985,TLH24986] :
( sP61_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell28 )
| sP62_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f499,f507]) ).
fof(f509,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell38
| TLH24986 != cell28 )
& ~ sP62_prd(TLH24986,TLH24985) )
| sP61_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell38
& TLH24986 = cell28 )
| sP62_prd(TLH24986,TLH24985)
| ~ sP61_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f508]) ).
fof(f510,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell38
| TLH24986 != cell28 )
& ~ sP62_prd(TLH24986,TLH24985) )
| sP61_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell38
& TLH24986 = cell28 )
| sP62_prd(TLH24986,TLH24985)
| ~ sP61_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f509]) ).
fof(f513,plain,
! [X0,X1] :
( ~ sP62_prd(X0,X1)
| sP61_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f515,definition,
! [TLH24985,TLH24986] :
( sP63_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell26 )
| ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f516,plain,
! [TLH24985,TLH24986] :
( sP62_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell27 )
| sP63_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f507,f515]) ).
fof(f517,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell37
| TLH24986 != cell27 )
& ~ sP63_prd(TLH24986,TLH24985) )
| sP62_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell37
& TLH24986 = cell27 )
| sP63_prd(TLH24986,TLH24985)
| ~ sP62_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f516]) ).
fof(f518,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell37
| TLH24986 != cell27 )
& ~ sP63_prd(TLH24986,TLH24985) )
| sP62_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell37
& TLH24986 = cell27 )
| sP63_prd(TLH24986,TLH24985)
| ~ sP62_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f517]) ).
fof(f521,plain,
! [X0,X1] :
( ~ sP63_prd(X0,X1)
| sP62_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f523,definition,
! [TLH24985,TLH24986] :
( sP64_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell25 )
| ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f524,plain,
! [TLH24985,TLH24986] :
( sP63_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell26 )
| sP64_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f515,f523]) ).
fof(f525,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell36
| TLH24986 != cell26 )
& ~ sP64_prd(TLH24986,TLH24985) )
| sP63_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell36
& TLH24986 = cell26 )
| sP64_prd(TLH24986,TLH24985)
| ~ sP63_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f524]) ).
fof(f526,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell36
| TLH24986 != cell26 )
& ~ sP64_prd(TLH24986,TLH24985) )
| sP63_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell36
& TLH24986 = cell26 )
| sP64_prd(TLH24986,TLH24985)
| ~ sP63_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f525]) ).
fof(f529,plain,
! [X0,X1] :
( ~ sP64_prd(X0,X1)
| sP63_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f531,definition,
! [TLH24985,TLH24986] :
( sP65_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell24 )
| ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f532,plain,
! [TLH24985,TLH24986] :
( sP64_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell25 )
| sP65_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f523,f531]) ).
fof(f533,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell35
| TLH24986 != cell25 )
& ~ sP65_prd(TLH24986,TLH24985) )
| sP64_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell35
& TLH24986 = cell25 )
| sP65_prd(TLH24986,TLH24985)
| ~ sP64_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell35
| TLH24986 != cell25 )
& ~ sP65_prd(TLH24986,TLH24985) )
| sP64_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell35
& TLH24986 = cell25 )
| sP65_prd(TLH24986,TLH24985)
| ~ sP64_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f533]) ).
fof(f537,plain,
! [X0,X1] :
( ~ sP65_prd(X0,X1)
| sP64_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f539,definition,
! [TLH24985,TLH24986] :
( sP66_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell23 )
| ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f540,plain,
! [TLH24985,TLH24986] :
( sP65_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell24 )
| sP66_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f531,f539]) ).
fof(f541,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell34
| TLH24986 != cell24 )
& ~ sP66_prd(TLH24986,TLH24985) )
| sP65_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell34
& TLH24986 = cell24 )
| sP66_prd(TLH24986,TLH24985)
| ~ sP65_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f540]) ).
fof(f542,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell34
| TLH24986 != cell24 )
& ~ sP66_prd(TLH24986,TLH24985) )
| sP65_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell34
& TLH24986 = cell24 )
| sP66_prd(TLH24986,TLH24985)
| ~ sP65_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f541]) ).
fof(f545,plain,
! [X0,X1] :
( ~ sP66_prd(X0,X1)
| sP65_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f547,definition,
! [TLH24985,TLH24986] :
( sP67_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell22 )
| ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f548,plain,
! [TLH24985,TLH24986] :
( sP66_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell23 )
| sP67_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f539,f547]) ).
fof(f549,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell33
| TLH24986 != cell23 )
& ~ sP67_prd(TLH24986,TLH24985) )
| sP66_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell33
& TLH24986 = cell23 )
| sP67_prd(TLH24986,TLH24985)
| ~ sP66_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f548]) ).
fof(f550,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell33
| TLH24986 != cell23 )
& ~ sP67_prd(TLH24986,TLH24985) )
| sP66_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell33
& TLH24986 = cell23 )
| sP67_prd(TLH24986,TLH24985)
| ~ sP66_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f549]) ).
fof(f553,plain,
! [X0,X1] :
( ~ sP67_prd(X0,X1)
| sP66_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f555,definition,
! [TLH24985,TLH24986] :
( sP68_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell31
& TLH24986 = cell21 )
| ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f556,plain,
! [TLH24985,TLH24986] :
( sP67_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell22 )
| sP68_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f547,f555]) ).
fof(f557,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell32
| TLH24986 != cell22 )
& ~ sP68_prd(TLH24986,TLH24985) )
| sP67_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell32
& TLH24986 = cell22 )
| sP68_prd(TLH24986,TLH24985)
| ~ sP67_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f556]) ).
fof(f558,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell32
| TLH24986 != cell22 )
& ~ sP68_prd(TLH24986,TLH24985) )
| sP67_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell32
& TLH24986 = cell22 )
| sP68_prd(TLH24986,TLH24985)
| ~ sP67_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f557]) ).
fof(f561,plain,
! [X0,X1] :
( ~ sP68_prd(X0,X1)
| sP67_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f563,definition,
! [TLH24985,TLH24986] :
( sP69_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell20 )
| ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f564,plain,
! [TLH24985,TLH24986] :
( sP68_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell31
& TLH24986 = cell21 )
| sP69_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f555,f563]) ).
fof(f565,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell31
| TLH24986 != cell21 )
& ~ sP69_prd(TLH24986,TLH24985) )
| sP68_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell31
& TLH24986 = cell21 )
| sP69_prd(TLH24986,TLH24985)
| ~ sP68_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f564]) ).
fof(f566,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell31
| TLH24986 != cell21 )
& ~ sP69_prd(TLH24986,TLH24985) )
| sP68_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell31
& TLH24986 = cell21 )
| sP69_prd(TLH24986,TLH24985)
| ~ sP68_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f565]) ).
fof(f569,plain,
! [X0,X1] :
( ~ sP69_prd(X0,X1)
| sP68_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f571,definition,
! [TLH24985,TLH24986] :
( sP70_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell19 )
| ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f572,plain,
! [TLH24985,TLH24986] :
( sP69_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell20 )
| sP70_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f563,f571]) ).
fof(f573,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell30
| TLH24986 != cell20 )
& ~ sP70_prd(TLH24986,TLH24985) )
| sP69_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell30
& TLH24986 = cell20 )
| sP70_prd(TLH24986,TLH24985)
| ~ sP69_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell30
| TLH24986 != cell20 )
& ~ sP70_prd(TLH24986,TLH24985) )
| sP69_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell30
& TLH24986 = cell20 )
| sP70_prd(TLH24986,TLH24985)
| ~ sP69_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f573]) ).
fof(f577,plain,
! [X0,X1] :
( ~ sP70_prd(X0,X1)
| sP69_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f579,definition,
! [TLH24985,TLH24986] :
( sP71_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell18 )
| ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f580,plain,
! [TLH24985,TLH24986] :
( sP70_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell19 )
| sP71_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f571,f579]) ).
fof(f581,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell29
| TLH24986 != cell19 )
& ~ sP71_prd(TLH24986,TLH24985) )
| sP70_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell29
& TLH24986 = cell19 )
| sP71_prd(TLH24986,TLH24985)
| ~ sP70_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f580]) ).
fof(f582,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell29
| TLH24986 != cell19 )
& ~ sP71_prd(TLH24986,TLH24985) )
| sP70_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell29
& TLH24986 = cell19 )
| sP71_prd(TLH24986,TLH24985)
| ~ sP70_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f581]) ).
fof(f585,plain,
! [X0,X1] :
( ~ sP71_prd(X0,X1)
| sP70_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f587,definition,
! [TLH24985,TLH24986] :
( sP72_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell17 )
| ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f588,plain,
! [TLH24985,TLH24986] :
( sP71_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell18 )
| sP72_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f579,f587]) ).
fof(f589,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell28
| TLH24986 != cell18 )
& ~ sP72_prd(TLH24986,TLH24985) )
| sP71_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell28
& TLH24986 = cell18 )
| sP72_prd(TLH24986,TLH24985)
| ~ sP71_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f588]) ).
fof(f590,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell28
| TLH24986 != cell18 )
& ~ sP72_prd(TLH24986,TLH24985) )
| sP71_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell28
& TLH24986 = cell18 )
| sP72_prd(TLH24986,TLH24985)
| ~ sP71_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f589]) ).
fof(f593,plain,
! [X0,X1] :
( ~ sP72_prd(X0,X1)
| sP71_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f595,definition,
! [TLH24985,TLH24986] :
( sP73_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell16 )
| ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f596,plain,
! [TLH24985,TLH24986] :
( sP72_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell17 )
| sP73_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f587,f595]) ).
fof(f597,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell27
| TLH24986 != cell17 )
& ~ sP73_prd(TLH24986,TLH24985) )
| sP72_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell27
& TLH24986 = cell17 )
| sP73_prd(TLH24986,TLH24985)
| ~ sP72_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell27
| TLH24986 != cell17 )
& ~ sP73_prd(TLH24986,TLH24985) )
| sP72_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell27
& TLH24986 = cell17 )
| sP73_prd(TLH24986,TLH24985)
| ~ sP72_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f597]) ).
fof(f601,plain,
! [X0,X1] :
( ~ sP73_prd(X0,X1)
| sP72_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f603,definition,
! [TLH24985,TLH24986] :
( sP74_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell15 )
| ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f604,plain,
! [TLH24985,TLH24986] :
( sP73_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell16 )
| sP74_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f595,f603]) ).
fof(f605,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell26
| TLH24986 != cell16 )
& ~ sP74_prd(TLH24986,TLH24985) )
| sP73_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell26
& TLH24986 = cell16 )
| sP74_prd(TLH24986,TLH24985)
| ~ sP73_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f604]) ).
fof(f606,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell26
| TLH24986 != cell16 )
& ~ sP74_prd(TLH24986,TLH24985) )
| sP73_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell26
& TLH24986 = cell16 )
| sP74_prd(TLH24986,TLH24985)
| ~ sP73_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f605]) ).
fof(f609,plain,
! [X0,X1] :
( ~ sP74_prd(X0,X1)
| sP73_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f606]) ).
fof(f611,definition,
! [TLH24985,TLH24986] :
( sP75_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell14 )
| ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f612,plain,
! [TLH24985,TLH24986] :
( sP74_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell15 )
| sP75_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f603,f611]) ).
fof(f613,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell25
| TLH24986 != cell15 )
& ~ sP75_prd(TLH24986,TLH24985) )
| sP74_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell25
& TLH24986 = cell15 )
| sP75_prd(TLH24986,TLH24985)
| ~ sP74_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f612]) ).
fof(f614,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell25
| TLH24986 != cell15 )
& ~ sP75_prd(TLH24986,TLH24985) )
| sP74_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell25
& TLH24986 = cell15 )
| sP75_prd(TLH24986,TLH24985)
| ~ sP74_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f613]) ).
fof(f617,plain,
! [X0,X1] :
( ~ sP75_prd(X0,X1)
| sP74_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f619,definition,
! [TLH24985,TLH24986] :
( sP76_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell13 )
| ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f620,plain,
! [TLH24985,TLH24986] :
( sP75_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell14 )
| sP76_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f611,f619]) ).
fof(f621,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell24
| TLH24986 != cell14 )
& ~ sP76_prd(TLH24986,TLH24985) )
| sP75_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell24
& TLH24986 = cell14 )
| sP76_prd(TLH24986,TLH24985)
| ~ sP75_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f622,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell24
| TLH24986 != cell14 )
& ~ sP76_prd(TLH24986,TLH24985) )
| sP75_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell24
& TLH24986 = cell14 )
| sP76_prd(TLH24986,TLH24985)
| ~ sP75_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f621]) ).
fof(f625,plain,
! [X0,X1] :
( ~ sP76_prd(X0,X1)
| sP75_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f627,definition,
! [TLH24985,TLH24986] :
( sP77_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell12 )
| ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f628,plain,
! [TLH24985,TLH24986] :
( sP76_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell13 )
| sP77_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f619,f627]) ).
fof(f629,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell23
| TLH24986 != cell13 )
& ~ sP77_prd(TLH24986,TLH24985) )
| sP76_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell23
& TLH24986 = cell13 )
| sP77_prd(TLH24986,TLH24985)
| ~ sP76_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f628]) ).
fof(f630,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell23
| TLH24986 != cell13 )
& ~ sP77_prd(TLH24986,TLH24985) )
| sP76_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell23
& TLH24986 = cell13 )
| sP77_prd(TLH24986,TLH24985)
| ~ sP76_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f629]) ).
fof(f633,plain,
! [X0,X1] :
( ~ sP77_prd(X0,X1)
| sP76_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f635,definition,
! [TLH24985,TLH24986] :
( sP78_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell21
& TLH24986 = cell11 )
| ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f636,plain,
! [TLH24985,TLH24986] :
( sP77_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell12 )
| sP78_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f627,f635]) ).
fof(f637,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell22
| TLH24986 != cell12 )
& ~ sP78_prd(TLH24986,TLH24985) )
| sP77_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell22
& TLH24986 = cell12 )
| sP78_prd(TLH24986,TLH24985)
| ~ sP77_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f636]) ).
fof(f638,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell22
| TLH24986 != cell12 )
& ~ sP78_prd(TLH24986,TLH24985) )
| sP77_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell22
& TLH24986 = cell12 )
| sP78_prd(TLH24986,TLH24985)
| ~ sP77_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f637]) ).
fof(f641,plain,
! [X0,X1] :
( ~ sP78_prd(X0,X1)
| sP77_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f638]) ).
fof(f643,definition,
! [TLH24985,TLH24986] :
( sP79_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell10 )
| ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f644,plain,
! [TLH24985,TLH24986] :
( sP78_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell21
& TLH24986 = cell11 )
| sP79_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f635,f643]) ).
fof(f645,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell21
| TLH24986 != cell11 )
& ~ sP79_prd(TLH24986,TLH24985) )
| sP78_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell21
& TLH24986 = cell11 )
| sP79_prd(TLH24986,TLH24985)
| ~ sP78_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell21
| TLH24986 != cell11 )
& ~ sP79_prd(TLH24986,TLH24985) )
| sP78_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell21
& TLH24986 = cell11 )
| sP79_prd(TLH24986,TLH24985)
| ~ sP78_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f645]) ).
fof(f649,plain,
! [X0,X1] :
( ~ sP79_prd(X0,X1)
| sP78_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f651,definition,
! [TLH24985,TLH24986] :
( sP80_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell9 )
| ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f652,plain,
! [TLH24985,TLH24986] :
( sP79_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell10 )
| sP80_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f643,f651]) ).
fof(f653,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell20
| TLH24986 != cell10 )
& ~ sP80_prd(TLH24986,TLH24985) )
| sP79_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell20
& TLH24986 = cell10 )
| sP80_prd(TLH24986,TLH24985)
| ~ sP79_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f652]) ).
fof(f654,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell20
| TLH24986 != cell10 )
& ~ sP80_prd(TLH24986,TLH24985) )
| sP79_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell20
& TLH24986 = cell10 )
| sP80_prd(TLH24986,TLH24985)
| ~ sP79_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f653]) ).
fof(f657,plain,
! [X0,X1] :
( ~ sP80_prd(X0,X1)
| sP79_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f659,definition,
! [TLH24985,TLH24986] :
( sP81_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell8 )
| ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f660,plain,
! [TLH24985,TLH24986] :
( sP80_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell9 )
| sP81_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f651,f659]) ).
fof(f661,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell19
| TLH24986 != cell9 )
& ~ sP81_prd(TLH24986,TLH24985) )
| sP80_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell19
& TLH24986 = cell9 )
| sP81_prd(TLH24986,TLH24985)
| ~ sP80_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f660]) ).
fof(f662,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell19
| TLH24986 != cell9 )
& ~ sP81_prd(TLH24986,TLH24985) )
| sP80_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell19
& TLH24986 = cell9 )
| sP81_prd(TLH24986,TLH24985)
| ~ sP80_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f661]) ).
fof(f665,plain,
! [X0,X1] :
( ~ sP81_prd(X0,X1)
| sP80_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f667,definition,
! [TLH24985,TLH24986] :
( sP82_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell7 )
| ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f668,plain,
! [TLH24985,TLH24986] :
( sP81_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell8 )
| sP82_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f659,f667]) ).
fof(f669,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell18
| TLH24986 != cell8 )
& ~ sP82_prd(TLH24986,TLH24985) )
| sP81_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell18
& TLH24986 = cell8 )
| sP82_prd(TLH24986,TLH24985)
| ~ sP81_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f668]) ).
fof(f670,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell18
| TLH24986 != cell8 )
& ~ sP82_prd(TLH24986,TLH24985) )
| sP81_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell18
& TLH24986 = cell8 )
| sP82_prd(TLH24986,TLH24985)
| ~ sP81_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f669]) ).
fof(f673,plain,
! [X0,X1] :
( ~ sP82_prd(X0,X1)
| sP81_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f675,definition,
! [TLH24985,TLH24986] :
( sP83_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell6 )
| ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f676,plain,
! [TLH24985,TLH24986] :
( sP82_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell7 )
| sP83_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f667,f675]) ).
fof(f677,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell17
| TLH24986 != cell7 )
& ~ sP83_prd(TLH24986,TLH24985) )
| sP82_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell17
& TLH24986 = cell7 )
| sP83_prd(TLH24986,TLH24985)
| ~ sP82_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell17
| TLH24986 != cell7 )
& ~ sP83_prd(TLH24986,TLH24985) )
| sP82_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell17
& TLH24986 = cell7 )
| sP83_prd(TLH24986,TLH24985)
| ~ sP82_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f677]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sP83_prd(X0,X1)
| sP82_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f683,definition,
! [TLH24985,TLH24986] :
( sP84_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell5 )
| ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f684,plain,
! [TLH24985,TLH24986] :
( sP83_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell6 )
| sP84_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f675,f683]) ).
fof(f685,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell16
| TLH24986 != cell6 )
& ~ sP84_prd(TLH24986,TLH24985) )
| sP83_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell16
& TLH24986 = cell6 )
| sP84_prd(TLH24986,TLH24985)
| ~ sP83_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f684]) ).
fof(f686,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell16
| TLH24986 != cell6 )
& ~ sP84_prd(TLH24986,TLH24985) )
| sP83_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell16
& TLH24986 = cell6 )
| sP84_prd(TLH24986,TLH24985)
| ~ sP83_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f685]) ).
fof(f689,plain,
! [X0,X1] :
( ~ sP84_prd(X0,X1)
| sP83_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f691,definition,
! [TLH24985,TLH24986] :
( sP85_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell4 )
| ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f692,plain,
! [TLH24985,TLH24986] :
( sP84_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell5 )
| sP85_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f683,f691]) ).
fof(f693,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell15
| TLH24986 != cell5 )
& ~ sP85_prd(TLH24986,TLH24985) )
| sP84_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell15
& TLH24986 = cell5 )
| sP85_prd(TLH24986,TLH24985)
| ~ sP84_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f692]) ).
fof(f694,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell15
| TLH24986 != cell5 )
& ~ sP85_prd(TLH24986,TLH24985) )
| sP84_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell15
& TLH24986 = cell5 )
| sP85_prd(TLH24986,TLH24985)
| ~ sP84_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f693]) ).
fof(f697,plain,
! [X0,X1] :
( ~ sP85_prd(X0,X1)
| sP84_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f699,definition,
! [TLH24985,TLH24986] :
( sP86_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell3 )
| ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f700,plain,
! [TLH24985,TLH24986] :
( sP85_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell4 )
| sP86_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f691,f699]) ).
fof(f701,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell14
| TLH24986 != cell4 )
& ~ sP86_prd(TLH24986,TLH24985) )
| sP85_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell14
& TLH24986 = cell4 )
| sP86_prd(TLH24986,TLH24985)
| ~ sP85_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f700]) ).
fof(f702,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell14
| TLH24986 != cell4 )
& ~ sP86_prd(TLH24986,TLH24985) )
| sP85_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell14
& TLH24986 = cell4 )
| sP86_prd(TLH24986,TLH24985)
| ~ sP85_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f701]) ).
fof(f705,plain,
! [X0,X1] :
( ~ sP86_prd(X0,X1)
| sP85_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f707,definition,
! [TLH24985,TLH24986] :
( sP87_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell12
& TLH24986 = cell2 )
| ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f708,plain,
! [TLH24985,TLH24986] :
( sP86_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell3 )
| sP87_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f699,f707]) ).
fof(f709,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell13
| TLH24986 != cell3 )
& ~ sP87_prd(TLH24986,TLH24985) )
| sP86_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell13
& TLH24986 = cell3 )
| sP87_prd(TLH24986,TLH24985)
| ~ sP86_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f708]) ).
fof(f710,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell13
| TLH24986 != cell3 )
& ~ sP87_prd(TLH24986,TLH24985) )
| sP86_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell13
& TLH24986 = cell3 )
| sP87_prd(TLH24986,TLH24985)
| ~ sP86_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f709]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sP87_prd(X0,X1)
| sP86_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f710]) ).
fof(f715,definition,
! [TLH24985,TLH24986] :
( sP88_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell11
& TLH24986 = cell1 )
| ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f716,plain,
! [TLH24985,TLH24986] :
( sP87_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell12
& TLH24986 = cell2 )
| sP88_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f707,f715]) ).
fof(f717,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell12
| TLH24986 != cell2 )
& ~ sP88_prd(TLH24986,TLH24985) )
| sP87_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell12
& TLH24986 = cell2 )
| sP88_prd(TLH24986,TLH24985)
| ~ sP87_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f716]) ).
fof(f718,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell12
| TLH24986 != cell2 )
& ~ sP88_prd(TLH24986,TLH24985) )
| sP87_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell12
& TLH24986 = cell2 )
| sP88_prd(TLH24986,TLH24985)
| ~ sP87_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f717]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sP88_prd(X0,X1)
| sP87_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f718]) ).
fof(f723,definition,
! [TLH24985,TLH24986] :
( sP89_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell99 )
| ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f724,plain,
! [TLH24985,TLH24986] :
( sP88_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell11
& TLH24986 = cell1 )
| sP89_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f715,f723]) ).
fof(f725,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell11
| TLH24986 != cell1 )
& ~ sP89_prd(TLH24986,TLH24985) )
| sP88_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell11
& TLH24986 = cell1 )
| sP89_prd(TLH24986,TLH24985)
| ~ sP88_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f724]) ).
fof(f726,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell11
| TLH24986 != cell1 )
& ~ sP89_prd(TLH24986,TLH24985) )
| sP88_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell11
& TLH24986 = cell1 )
| sP89_prd(TLH24986,TLH24985)
| ~ sP88_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f725]) ).
fof(f729,plain,
! [X0,X1] :
( ~ sP89_prd(X0,X1)
| sP88_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f731,definition,
! [TLH24985,TLH24986] :
( sP90_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell98 )
| ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f732,plain,
! [TLH24985,TLH24986] :
( sP89_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell99 )
| sP90_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f723,f731]) ).
fof(f733,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell100
| TLH24986 != cell99 )
& ~ sP90_prd(TLH24986,TLH24985) )
| sP89_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell100
& TLH24986 = cell99 )
| sP90_prd(TLH24986,TLH24985)
| ~ sP89_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f732]) ).
fof(f734,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell100
| TLH24986 != cell99 )
& ~ sP90_prd(TLH24986,TLH24985) )
| sP89_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell100
& TLH24986 = cell99 )
| sP90_prd(TLH24986,TLH24985)
| ~ sP89_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f733]) ).
fof(f737,plain,
! [X0,X1] :
( ~ sP90_prd(X0,X1)
| sP89_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f739,definition,
! [TLH24985,TLH24986] :
( sP91_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell97 )
| ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f740,plain,
! [TLH24985,TLH24986] :
( sP90_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell98 )
| sP91_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f731,f739]) ).
fof(f741,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell99
| TLH24986 != cell98 )
& ~ sP91_prd(TLH24986,TLH24985) )
| sP90_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell99
& TLH24986 = cell98 )
| sP91_prd(TLH24986,TLH24985)
| ~ sP90_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f740]) ).
fof(f742,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell99
| TLH24986 != cell98 )
& ~ sP91_prd(TLH24986,TLH24985) )
| sP90_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell99
& TLH24986 = cell98 )
| sP91_prd(TLH24986,TLH24985)
| ~ sP90_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f741]) ).
fof(f745,plain,
! [X0,X1] :
( ~ sP91_prd(X0,X1)
| sP90_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f742]) ).
fof(f747,definition,
! [TLH24985,TLH24986] :
( sP92_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell96 )
| ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f748,plain,
! [TLH24985,TLH24986] :
( sP91_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell97 )
| sP92_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f739,f747]) ).
fof(f749,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell98
| TLH24986 != cell97 )
& ~ sP92_prd(TLH24986,TLH24985) )
| sP91_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell98
& TLH24986 = cell97 )
| sP92_prd(TLH24986,TLH24985)
| ~ sP91_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f748]) ).
fof(f750,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell98
| TLH24986 != cell97 )
& ~ sP92_prd(TLH24986,TLH24985) )
| sP91_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell98
& TLH24986 = cell97 )
| sP92_prd(TLH24986,TLH24985)
| ~ sP91_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f749]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sP92_prd(X0,X1)
| sP91_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f750]) ).
fof(f755,definition,
! [TLH24985,TLH24986] :
( sP93_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell95 )
| ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f756,plain,
! [TLH24985,TLH24986] :
( sP92_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell96 )
| sP93_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f747,f755]) ).
fof(f757,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell97
| TLH24986 != cell96 )
& ~ sP93_prd(TLH24986,TLH24985) )
| sP92_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell97
& TLH24986 = cell96 )
| sP93_prd(TLH24986,TLH24985)
| ~ sP92_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f756]) ).
fof(f758,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell97
| TLH24986 != cell96 )
& ~ sP93_prd(TLH24986,TLH24985) )
| sP92_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell97
& TLH24986 = cell96 )
| sP93_prd(TLH24986,TLH24985)
| ~ sP92_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f757]) ).
fof(f761,plain,
! [X0,X1] :
( ~ sP93_prd(X0,X1)
| sP92_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f763,definition,
! [TLH24985,TLH24986] :
( sP94_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell94 )
| ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f764,plain,
! [TLH24985,TLH24986] :
( sP93_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell95 )
| sP94_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f755,f763]) ).
fof(f765,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell96
| TLH24986 != cell95 )
& ~ sP94_prd(TLH24986,TLH24985) )
| sP93_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell96
& TLH24986 = cell95 )
| sP94_prd(TLH24986,TLH24985)
| ~ sP93_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f764]) ).
fof(f766,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell96
| TLH24986 != cell95 )
& ~ sP94_prd(TLH24986,TLH24985) )
| sP93_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell96
& TLH24986 = cell95 )
| sP94_prd(TLH24986,TLH24985)
| ~ sP93_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f765]) ).
fof(f769,plain,
! [X0,X1] :
( ~ sP94_prd(X0,X1)
| sP93_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f771,definition,
! [TLH24985,TLH24986] :
( sP95_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell93 )
| ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f772,plain,
! [TLH24985,TLH24986] :
( sP94_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell94 )
| sP95_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f763,f771]) ).
fof(f773,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell95
| TLH24986 != cell94 )
& ~ sP95_prd(TLH24986,TLH24985) )
| sP94_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell95
& TLH24986 = cell94 )
| sP95_prd(TLH24986,TLH24985)
| ~ sP94_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f772]) ).
fof(f774,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell95
| TLH24986 != cell94 )
& ~ sP95_prd(TLH24986,TLH24985) )
| sP94_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell95
& TLH24986 = cell94 )
| sP95_prd(TLH24986,TLH24985)
| ~ sP94_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f773]) ).
fof(f777,plain,
! [X0,X1] :
( ~ sP95_prd(X0,X1)
| sP94_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f779,definition,
! [TLH24985,TLH24986] :
( sP96_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell92 )
| ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f780,plain,
! [TLH24985,TLH24986] :
( sP95_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell93 )
| sP96_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f771,f779]) ).
fof(f781,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell94
| TLH24986 != cell93 )
& ~ sP96_prd(TLH24986,TLH24985) )
| sP95_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell94
& TLH24986 = cell93 )
| sP96_prd(TLH24986,TLH24985)
| ~ sP95_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f780]) ).
fof(f782,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell94
| TLH24986 != cell93 )
& ~ sP96_prd(TLH24986,TLH24985) )
| sP95_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell94
& TLH24986 = cell93 )
| sP96_prd(TLH24986,TLH24985)
| ~ sP95_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f781]) ).
fof(f785,plain,
! [X0,X1] :
( ~ sP96_prd(X0,X1)
| sP95_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f782]) ).
fof(f787,definition,
! [TLH24985,TLH24986] :
( sP97_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell91 )
| ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f788,plain,
! [TLH24985,TLH24986] :
( sP96_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell92 )
| sP97_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f779,f787]) ).
fof(f789,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell93
| TLH24986 != cell92 )
& ~ sP97_prd(TLH24986,TLH24985) )
| sP96_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell93
& TLH24986 = cell92 )
| sP97_prd(TLH24986,TLH24985)
| ~ sP96_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f788]) ).
fof(f790,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell93
| TLH24986 != cell92 )
& ~ sP97_prd(TLH24986,TLH24985) )
| sP96_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell93
& TLH24986 = cell92 )
| sP97_prd(TLH24986,TLH24985)
| ~ sP96_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f789]) ).
fof(f793,plain,
! [X0,X1] :
( ~ sP97_prd(X0,X1)
| sP96_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f790]) ).
fof(f795,definition,
! [TLH24985,TLH24986] :
( sP98_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell89 )
| ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f796,plain,
! [TLH24985,TLH24986] :
( sP97_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell91 )
| sP98_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f787,f795]) ).
fof(f797,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell92
| TLH24986 != cell91 )
& ~ sP98_prd(TLH24986,TLH24985) )
| sP97_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell92
& TLH24986 = cell91 )
| sP98_prd(TLH24986,TLH24985)
| ~ sP97_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f796]) ).
fof(f798,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell92
| TLH24986 != cell91 )
& ~ sP98_prd(TLH24986,TLH24985) )
| sP97_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell92
& TLH24986 = cell91 )
| sP98_prd(TLH24986,TLH24985)
| ~ sP97_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f797]) ).
fof(f801,plain,
! [X0,X1] :
( ~ sP98_prd(X0,X1)
| sP97_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f803,definition,
! [TLH24985,TLH24986] :
( sP99_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell88 )
| ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f804,plain,
! [TLH24985,TLH24986] :
( sP98_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell89 )
| sP99_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f795,f803]) ).
fof(f805,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell90
| TLH24986 != cell89 )
& ~ sP99_prd(TLH24986,TLH24985) )
| sP98_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell90
& TLH24986 = cell89 )
| sP99_prd(TLH24986,TLH24985)
| ~ sP98_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f804]) ).
fof(f806,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell90
| TLH24986 != cell89 )
& ~ sP99_prd(TLH24986,TLH24985) )
| sP98_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell90
& TLH24986 = cell89 )
| sP99_prd(TLH24986,TLH24985)
| ~ sP98_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f805]) ).
fof(f809,plain,
! [X0,X1] :
( ~ sP99_prd(X0,X1)
| sP98_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f811,definition,
! [TLH24985,TLH24986] :
( sP100_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell87 )
| ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f812,plain,
! [TLH24985,TLH24986] :
( sP99_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell88 )
| sP100_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f803,f811]) ).
fof(f813,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell89
| TLH24986 != cell88 )
& ~ sP100_prd(TLH24986,TLH24985) )
| sP99_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell89
& TLH24986 = cell88 )
| sP100_prd(TLH24986,TLH24985)
| ~ sP99_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f812]) ).
fof(f814,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell89
| TLH24986 != cell88 )
& ~ sP100_prd(TLH24986,TLH24985) )
| sP99_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell89
& TLH24986 = cell88 )
| sP100_prd(TLH24986,TLH24985)
| ~ sP99_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f813]) ).
fof(f817,plain,
! [X0,X1] :
( ~ sP100_prd(X0,X1)
| sP99_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f814]) ).
fof(f819,definition,
! [TLH24985,TLH24986] :
( sP101_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell86 )
| ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f820,plain,
! [TLH24985,TLH24986] :
( sP100_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell87 )
| sP101_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f811,f819]) ).
fof(f821,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell88
| TLH24986 != cell87 )
& ~ sP101_prd(TLH24986,TLH24985) )
| sP100_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell88
& TLH24986 = cell87 )
| sP101_prd(TLH24986,TLH24985)
| ~ sP100_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f820]) ).
fof(f822,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell88
| TLH24986 != cell87 )
& ~ sP101_prd(TLH24986,TLH24985) )
| sP100_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell88
& TLH24986 = cell87 )
| sP101_prd(TLH24986,TLH24985)
| ~ sP100_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f821]) ).
fof(f825,plain,
! [X0,X1] :
( ~ sP101_prd(X0,X1)
| sP100_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f822]) ).
fof(f827,definition,
! [TLH24985,TLH24986] :
( sP102_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell85 )
| ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f828,plain,
! [TLH24985,TLH24986] :
( sP101_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell86 )
| sP102_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f819,f827]) ).
fof(f829,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell87
| TLH24986 != cell86 )
& ~ sP102_prd(TLH24986,TLH24985) )
| sP101_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell87
& TLH24986 = cell86 )
| sP102_prd(TLH24986,TLH24985)
| ~ sP101_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f828]) ).
fof(f830,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell87
| TLH24986 != cell86 )
& ~ sP102_prd(TLH24986,TLH24985) )
| sP101_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell87
& TLH24986 = cell86 )
| sP102_prd(TLH24986,TLH24985)
| ~ sP101_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f829]) ).
fof(f833,plain,
! [X0,X1] :
( ~ sP102_prd(X0,X1)
| sP101_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f835,definition,
! [TLH24985,TLH24986] :
( sP103_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell84 )
| ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f836,plain,
! [TLH24985,TLH24986] :
( sP102_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell85 )
| sP103_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f827,f835]) ).
fof(f837,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell86
| TLH24986 != cell85 )
& ~ sP103_prd(TLH24986,TLH24985) )
| sP102_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell86
& TLH24986 = cell85 )
| sP103_prd(TLH24986,TLH24985)
| ~ sP102_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f836]) ).
fof(f838,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell86
| TLH24986 != cell85 )
& ~ sP103_prd(TLH24986,TLH24985) )
| sP102_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell86
& TLH24986 = cell85 )
| sP103_prd(TLH24986,TLH24985)
| ~ sP102_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f837]) ).
fof(f841,plain,
! [X0,X1] :
( ~ sP103_prd(X0,X1)
| sP102_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f838]) ).
fof(f843,definition,
! [TLH24985,TLH24986] :
( sP104_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell83 )
| ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f844,plain,
! [TLH24985,TLH24986] :
( sP103_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell84 )
| sP104_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f835,f843]) ).
fof(f845,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell85
| TLH24986 != cell84 )
& ~ sP104_prd(TLH24986,TLH24985) )
| sP103_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell85
& TLH24986 = cell84 )
| sP104_prd(TLH24986,TLH24985)
| ~ sP103_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f844]) ).
fof(f846,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell85
| TLH24986 != cell84 )
& ~ sP104_prd(TLH24986,TLH24985) )
| sP103_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell85
& TLH24986 = cell84 )
| sP104_prd(TLH24986,TLH24985)
| ~ sP103_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f845]) ).
fof(f849,plain,
! [X0,X1] :
( ~ sP104_prd(X0,X1)
| sP103_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f851,definition,
! [TLH24985,TLH24986] :
( sP105_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell82 )
| ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f852,plain,
! [TLH24985,TLH24986] :
( sP104_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell83 )
| sP105_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f843,f851]) ).
fof(f853,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell84
| TLH24986 != cell83 )
& ~ sP105_prd(TLH24986,TLH24985) )
| sP104_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell84
& TLH24986 = cell83 )
| sP105_prd(TLH24986,TLH24985)
| ~ sP104_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f852]) ).
fof(f854,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell84
| TLH24986 != cell83 )
& ~ sP105_prd(TLH24986,TLH24985) )
| sP104_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell84
& TLH24986 = cell83 )
| sP105_prd(TLH24986,TLH24985)
| ~ sP104_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f853]) ).
fof(f857,plain,
! [X0,X1] :
( ~ sP105_prd(X0,X1)
| sP104_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f854]) ).
fof(f859,definition,
! [TLH24985,TLH24986] :
( sP106_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell81 )
| ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f860,plain,
! [TLH24985,TLH24986] :
( sP105_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell82 )
| sP106_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f851,f859]) ).
fof(f861,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell83
| TLH24986 != cell82 )
& ~ sP106_prd(TLH24986,TLH24985) )
| sP105_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell83
& TLH24986 = cell82 )
| sP106_prd(TLH24986,TLH24985)
| ~ sP105_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f860]) ).
fof(f862,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell83
| TLH24986 != cell82 )
& ~ sP106_prd(TLH24986,TLH24985) )
| sP105_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell83
& TLH24986 = cell82 )
| sP106_prd(TLH24986,TLH24985)
| ~ sP105_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f861]) ).
fof(f865,plain,
! [X0,X1] :
( ~ sP106_prd(X0,X1)
| sP105_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f862]) ).
fof(f867,definition,
! [TLH24985,TLH24986] :
( sP107_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell79 )
| ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f868,plain,
! [TLH24985,TLH24986] :
( sP106_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell81 )
| sP107_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f859,f867]) ).
fof(f869,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell82
| TLH24986 != cell81 )
& ~ sP107_prd(TLH24986,TLH24985) )
| sP106_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell82
& TLH24986 = cell81 )
| sP107_prd(TLH24986,TLH24985)
| ~ sP106_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f868]) ).
fof(f870,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell82
| TLH24986 != cell81 )
& ~ sP107_prd(TLH24986,TLH24985) )
| sP106_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell82
& TLH24986 = cell81 )
| sP107_prd(TLH24986,TLH24985)
| ~ sP106_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f869]) ).
fof(f873,plain,
! [X0,X1] :
( ~ sP107_prd(X0,X1)
| sP106_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f875,definition,
! [TLH24985,TLH24986] :
( sP108_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell78 )
| ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f876,plain,
! [TLH24985,TLH24986] :
( sP107_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell79 )
| sP108_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f867,f875]) ).
fof(f877,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell80
| TLH24986 != cell79 )
& ~ sP108_prd(TLH24986,TLH24985) )
| sP107_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell80
& TLH24986 = cell79 )
| sP108_prd(TLH24986,TLH24985)
| ~ sP107_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f876]) ).
fof(f878,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell80
| TLH24986 != cell79 )
& ~ sP108_prd(TLH24986,TLH24985) )
| sP107_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell80
& TLH24986 = cell79 )
| sP108_prd(TLH24986,TLH24985)
| ~ sP107_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f877]) ).
fof(f881,plain,
! [X0,X1] :
( ~ sP108_prd(X0,X1)
| sP107_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f878]) ).
fof(f883,definition,
! [TLH24985,TLH24986] :
( sP109_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell77 )
| ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f884,plain,
! [TLH24985,TLH24986] :
( sP108_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell78 )
| sP109_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f875,f883]) ).
fof(f885,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell79
| TLH24986 != cell78 )
& ~ sP109_prd(TLH24986,TLH24985) )
| sP108_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell79
& TLH24986 = cell78 )
| sP109_prd(TLH24986,TLH24985)
| ~ sP108_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f884]) ).
fof(f886,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell79
| TLH24986 != cell78 )
& ~ sP109_prd(TLH24986,TLH24985) )
| sP108_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell79
& TLH24986 = cell78 )
| sP109_prd(TLH24986,TLH24985)
| ~ sP108_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f885]) ).
fof(f889,plain,
! [X0,X1] :
( ~ sP109_prd(X0,X1)
| sP108_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f886]) ).
fof(f891,definition,
! [TLH24985,TLH24986] :
( sP110_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell76 )
| ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f892,plain,
! [TLH24985,TLH24986] :
( sP109_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell77 )
| sP110_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f883,f891]) ).
fof(f893,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell78
| TLH24986 != cell77 )
& ~ sP110_prd(TLH24986,TLH24985) )
| sP109_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell78
& TLH24986 = cell77 )
| sP110_prd(TLH24986,TLH24985)
| ~ sP109_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f892]) ).
fof(f894,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell78
| TLH24986 != cell77 )
& ~ sP110_prd(TLH24986,TLH24985) )
| sP109_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell78
& TLH24986 = cell77 )
| sP110_prd(TLH24986,TLH24985)
| ~ sP109_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f893]) ).
fof(f897,plain,
! [X0,X1] :
( ~ sP110_prd(X0,X1)
| sP109_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f894]) ).
fof(f899,definition,
! [TLH24985,TLH24986] :
( sP111_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell75 )
| ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f900,plain,
! [TLH24985,TLH24986] :
( sP110_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell76 )
| sP111_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f891,f899]) ).
fof(f901,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell77
| TLH24986 != cell76 )
& ~ sP111_prd(TLH24986,TLH24985) )
| sP110_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell77
& TLH24986 = cell76 )
| sP111_prd(TLH24986,TLH24985)
| ~ sP110_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f900]) ).
fof(f902,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell77
| TLH24986 != cell76 )
& ~ sP111_prd(TLH24986,TLH24985) )
| sP110_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell77
& TLH24986 = cell76 )
| sP111_prd(TLH24986,TLH24985)
| ~ sP110_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f901]) ).
fof(f905,plain,
! [X0,X1] :
( ~ sP111_prd(X0,X1)
| sP110_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f907,definition,
! [TLH24985,TLH24986] :
( sP112_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell74 )
| ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP112_prd])],[]) ).
fof(f908,plain,
! [TLH24985,TLH24986] :
( sP111_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell75 )
| sP112_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f899,f907]) ).
fof(f909,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell76
| TLH24986 != cell75 )
& ~ sP112_prd(TLH24986,TLH24985) )
| sP111_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell76
& TLH24986 = cell75 )
| sP112_prd(TLH24986,TLH24985)
| ~ sP111_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f908]) ).
fof(f910,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell76
| TLH24986 != cell75 )
& ~ sP112_prd(TLH24986,TLH24985) )
| sP111_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell76
& TLH24986 = cell75 )
| sP112_prd(TLH24986,TLH24985)
| ~ sP111_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f909]) ).
fof(f913,plain,
! [X0,X1] :
( ~ sP112_prd(X0,X1)
| sP111_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f910]) ).
fof(f915,definition,
! [TLH24985,TLH24986] :
( sP113_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell73 )
| ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f916,plain,
! [TLH24985,TLH24986] :
( sP112_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell74 )
| sP113_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f907,f915]) ).
fof(f917,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell75
| TLH24986 != cell74 )
& ~ sP113_prd(TLH24986,TLH24985) )
| sP112_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell75
& TLH24986 = cell74 )
| sP113_prd(TLH24986,TLH24985)
| ~ sP112_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f916]) ).
fof(f918,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell75
| TLH24986 != cell74 )
& ~ sP113_prd(TLH24986,TLH24985) )
| sP112_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell75
& TLH24986 = cell74 )
| sP113_prd(TLH24986,TLH24985)
| ~ sP112_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f917]) ).
fof(f921,plain,
! [X0,X1] :
( ~ sP113_prd(X0,X1)
| sP112_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f923,definition,
! [TLH24985,TLH24986] :
( sP114_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell72 )
| ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f924,plain,
! [TLH24985,TLH24986] :
( sP113_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell73 )
| sP114_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f915,f923]) ).
fof(f925,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell74
| TLH24986 != cell73 )
& ~ sP114_prd(TLH24986,TLH24985) )
| sP113_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell74
& TLH24986 = cell73 )
| sP114_prd(TLH24986,TLH24985)
| ~ sP113_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f924]) ).
fof(f926,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell74
| TLH24986 != cell73 )
& ~ sP114_prd(TLH24986,TLH24985) )
| sP113_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell74
& TLH24986 = cell73 )
| sP114_prd(TLH24986,TLH24985)
| ~ sP113_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f925]) ).
fof(f929,plain,
! [X0,X1] :
( ~ sP114_prd(X0,X1)
| sP113_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f926]) ).
fof(f931,definition,
! [TLH24985,TLH24986] :
( sP115_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell71 )
| ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f932,plain,
! [TLH24985,TLH24986] :
( sP114_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell72 )
| sP115_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f923,f931]) ).
fof(f933,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell73
| TLH24986 != cell72 )
& ~ sP115_prd(TLH24986,TLH24985) )
| sP114_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell73
& TLH24986 = cell72 )
| sP115_prd(TLH24986,TLH24985)
| ~ sP114_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f932]) ).
fof(f934,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell73
| TLH24986 != cell72 )
& ~ sP115_prd(TLH24986,TLH24985) )
| sP114_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell73
& TLH24986 = cell72 )
| sP115_prd(TLH24986,TLH24985)
| ~ sP114_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f933]) ).
fof(f937,plain,
! [X0,X1] :
( ~ sP115_prd(X0,X1)
| sP114_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f934]) ).
fof(f939,definition,
! [TLH24985,TLH24986] :
( sP116_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell69 )
| ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f940,plain,
! [TLH24985,TLH24986] :
( sP115_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell71 )
| sP116_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f931,f939]) ).
fof(f941,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell72
| TLH24986 != cell71 )
& ~ sP116_prd(TLH24986,TLH24985) )
| sP115_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell72
& TLH24986 = cell71 )
| sP116_prd(TLH24986,TLH24985)
| ~ sP115_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f940]) ).
fof(f942,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell72
| TLH24986 != cell71 )
& ~ sP116_prd(TLH24986,TLH24985) )
| sP115_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell72
& TLH24986 = cell71 )
| sP116_prd(TLH24986,TLH24985)
| ~ sP115_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f941]) ).
fof(f945,plain,
! [X0,X1] :
( ~ sP116_prd(X0,X1)
| sP115_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f942]) ).
fof(f947,definition,
! [TLH24985,TLH24986] :
( sP117_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell68 )
| ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f948,plain,
! [TLH24985,TLH24986] :
( sP116_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell69 )
| sP117_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f939,f947]) ).
fof(f949,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell70
| TLH24986 != cell69 )
& ~ sP117_prd(TLH24986,TLH24985) )
| sP116_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell70
& TLH24986 = cell69 )
| sP117_prd(TLH24986,TLH24985)
| ~ sP116_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f948]) ).
fof(f950,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell70
| TLH24986 != cell69 )
& ~ sP117_prd(TLH24986,TLH24985) )
| sP116_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell70
& TLH24986 = cell69 )
| sP117_prd(TLH24986,TLH24985)
| ~ sP116_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f949]) ).
fof(f953,plain,
! [X0,X1] :
( ~ sP117_prd(X0,X1)
| sP116_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f950]) ).
fof(f955,definition,
! [TLH24985,TLH24986] :
( sP118_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell67 )
| ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f956,plain,
! [TLH24985,TLH24986] :
( sP117_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell68 )
| sP118_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f947,f955]) ).
fof(f957,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell69
| TLH24986 != cell68 )
& ~ sP118_prd(TLH24986,TLH24985) )
| sP117_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell69
& TLH24986 = cell68 )
| sP118_prd(TLH24986,TLH24985)
| ~ sP117_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f956]) ).
fof(f958,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell69
| TLH24986 != cell68 )
& ~ sP118_prd(TLH24986,TLH24985) )
| sP117_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell69
& TLH24986 = cell68 )
| sP118_prd(TLH24986,TLH24985)
| ~ sP117_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f957]) ).
fof(f961,plain,
! [X0,X1] :
( ~ sP118_prd(X0,X1)
| sP117_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f958]) ).
fof(f963,definition,
! [TLH24985,TLH24986] :
( sP119_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell66 )
| ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f964,plain,
! [TLH24985,TLH24986] :
( sP118_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell67 )
| sP119_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f955,f963]) ).
fof(f965,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell68
| TLH24986 != cell67 )
& ~ sP119_prd(TLH24986,TLH24985) )
| sP118_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell68
& TLH24986 = cell67 )
| sP119_prd(TLH24986,TLH24985)
| ~ sP118_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f964]) ).
fof(f966,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell68
| TLH24986 != cell67 )
& ~ sP119_prd(TLH24986,TLH24985) )
| sP118_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell68
& TLH24986 = cell67 )
| sP119_prd(TLH24986,TLH24985)
| ~ sP118_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f965]) ).
fof(f969,plain,
! [X0,X1] :
( ~ sP119_prd(X0,X1)
| sP118_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f966]) ).
fof(f971,definition,
! [TLH24985,TLH24986] :
( sP120_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell65 )
| ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP120_prd])],[]) ).
fof(f972,plain,
! [TLH24985,TLH24986] :
( sP119_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell66 )
| sP120_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f963,f971]) ).
fof(f973,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell67
| TLH24986 != cell66 )
& ~ sP120_prd(TLH24986,TLH24985) )
| sP119_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell67
& TLH24986 = cell66 )
| sP120_prd(TLH24986,TLH24985)
| ~ sP119_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f972]) ).
fof(f974,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell67
| TLH24986 != cell66 )
& ~ sP120_prd(TLH24986,TLH24985) )
| sP119_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell67
& TLH24986 = cell66 )
| sP120_prd(TLH24986,TLH24985)
| ~ sP119_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f973]) ).
fof(f977,plain,
! [X0,X1] :
( ~ sP120_prd(X0,X1)
| sP119_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f974]) ).
fof(f979,definition,
! [TLH24985,TLH24986] :
( sP121_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell64 )
| ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP121_prd])],[]) ).
fof(f980,plain,
! [TLH24985,TLH24986] :
( sP120_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell65 )
| sP121_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f971,f979]) ).
fof(f981,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell66
| TLH24986 != cell65 )
& ~ sP121_prd(TLH24986,TLH24985) )
| sP120_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell66
& TLH24986 = cell65 )
| sP121_prd(TLH24986,TLH24985)
| ~ sP120_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f980]) ).
fof(f982,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell66
| TLH24986 != cell65 )
& ~ sP121_prd(TLH24986,TLH24985) )
| sP120_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell66
& TLH24986 = cell65 )
| sP121_prd(TLH24986,TLH24985)
| ~ sP120_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f981]) ).
fof(f985,plain,
! [X0,X1] :
( ~ sP121_prd(X0,X1)
| sP120_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f982]) ).
fof(f987,definition,
! [TLH24985,TLH24986] :
( sP122_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell63 )
| ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP122_prd])],[]) ).
fof(f988,plain,
! [TLH24985,TLH24986] :
( sP121_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell64 )
| sP122_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f979,f987]) ).
fof(f989,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell65
| TLH24986 != cell64 )
& ~ sP122_prd(TLH24986,TLH24985) )
| sP121_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell65
& TLH24986 = cell64 )
| sP122_prd(TLH24986,TLH24985)
| ~ sP121_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f988]) ).
fof(f990,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell65
| TLH24986 != cell64 )
& ~ sP122_prd(TLH24986,TLH24985) )
| sP121_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell65
& TLH24986 = cell64 )
| sP122_prd(TLH24986,TLH24985)
| ~ sP121_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f989]) ).
fof(f993,plain,
! [X0,X1] :
( ~ sP122_prd(X0,X1)
| sP121_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f990]) ).
fof(f995,definition,
! [TLH24985,TLH24986] :
( sP123_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell62 )
| ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP123_prd])],[]) ).
fof(f996,plain,
! [TLH24985,TLH24986] :
( sP122_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell63 )
| sP123_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f987,f995]) ).
fof(f997,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell64
| TLH24986 != cell63 )
& ~ sP123_prd(TLH24986,TLH24985) )
| sP122_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell64
& TLH24986 = cell63 )
| sP123_prd(TLH24986,TLH24985)
| ~ sP122_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f996]) ).
fof(f998,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell64
| TLH24986 != cell63 )
& ~ sP123_prd(TLH24986,TLH24985) )
| sP122_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell64
& TLH24986 = cell63 )
| sP123_prd(TLH24986,TLH24985)
| ~ sP122_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f997]) ).
fof(f1001,plain,
! [X0,X1] :
( ~ sP123_prd(X0,X1)
| sP122_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f998]) ).
fof(f1003,definition,
! [TLH24985,TLH24986] :
( sP124_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell61 )
| ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP124_prd])],[]) ).
fof(f1004,plain,
! [TLH24985,TLH24986] :
( sP123_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell62 )
| sP124_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f995,f1003]) ).
fof(f1005,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell63
| TLH24986 != cell62 )
& ~ sP124_prd(TLH24986,TLH24985) )
| sP123_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell63
& TLH24986 = cell62 )
| sP124_prd(TLH24986,TLH24985)
| ~ sP123_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1004]) ).
fof(f1006,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell63
| TLH24986 != cell62 )
& ~ sP124_prd(TLH24986,TLH24985) )
| sP123_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell63
& TLH24986 = cell62 )
| sP124_prd(TLH24986,TLH24985)
| ~ sP123_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1005]) ).
fof(f1009,plain,
! [X0,X1] :
( ~ sP124_prd(X0,X1)
| sP123_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1006]) ).
fof(f1011,definition,
! [TLH24985,TLH24986] :
( sP125_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell59 )
| ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP125_prd])],[]) ).
fof(f1012,plain,
! [TLH24985,TLH24986] :
( sP124_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell61 )
| sP125_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1003,f1011]) ).
fof(f1013,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell62
| TLH24986 != cell61 )
& ~ sP125_prd(TLH24986,TLH24985) )
| sP124_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell62
& TLH24986 = cell61 )
| sP125_prd(TLH24986,TLH24985)
| ~ sP124_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1012]) ).
fof(f1014,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell62
| TLH24986 != cell61 )
& ~ sP125_prd(TLH24986,TLH24985) )
| sP124_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell62
& TLH24986 = cell61 )
| sP125_prd(TLH24986,TLH24985)
| ~ sP124_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1013]) ).
fof(f1017,plain,
! [X0,X1] :
( ~ sP125_prd(X0,X1)
| sP124_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1014]) ).
fof(f1019,definition,
! [TLH24985,TLH24986] :
( sP126_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell58 )
| ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP126_prd])],[]) ).
fof(f1020,plain,
! [TLH24985,TLH24986] :
( sP125_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell59 )
| sP126_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1011,f1019]) ).
fof(f1021,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell60
| TLH24986 != cell59 )
& ~ sP126_prd(TLH24986,TLH24985) )
| sP125_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell60
& TLH24986 = cell59 )
| sP126_prd(TLH24986,TLH24985)
| ~ sP125_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1020]) ).
fof(f1022,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell60
| TLH24986 != cell59 )
& ~ sP126_prd(TLH24986,TLH24985) )
| sP125_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell60
& TLH24986 = cell59 )
| sP126_prd(TLH24986,TLH24985)
| ~ sP125_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1021]) ).
fof(f1025,plain,
! [X0,X1] :
( ~ sP126_prd(X0,X1)
| sP125_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1022]) ).
fof(f1027,definition,
! [TLH24985,TLH24986] :
( sP127_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell57 )
| ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP127_prd])],[]) ).
fof(f1028,plain,
! [TLH24985,TLH24986] :
( sP126_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell58 )
| sP127_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1019,f1027]) ).
fof(f1029,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell59
| TLH24986 != cell58 )
& ~ sP127_prd(TLH24986,TLH24985) )
| sP126_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell59
& TLH24986 = cell58 )
| sP127_prd(TLH24986,TLH24985)
| ~ sP126_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1028]) ).
fof(f1030,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell59
| TLH24986 != cell58 )
& ~ sP127_prd(TLH24986,TLH24985) )
| sP126_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell59
& TLH24986 = cell58 )
| sP127_prd(TLH24986,TLH24985)
| ~ sP126_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1029]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ sP127_prd(X0,X1)
| sP126_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1030]) ).
fof(f1035,definition,
! [TLH24985,TLH24986] :
( sP128_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell56 )
| ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP128_prd])],[]) ).
fof(f1036,plain,
! [TLH24985,TLH24986] :
( sP127_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell57 )
| sP128_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1027,f1035]) ).
fof(f1037,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell58
| TLH24986 != cell57 )
& ~ sP128_prd(TLH24986,TLH24985) )
| sP127_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell58
& TLH24986 = cell57 )
| sP128_prd(TLH24986,TLH24985)
| ~ sP127_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1036]) ).
fof(f1038,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell58
| TLH24986 != cell57 )
& ~ sP128_prd(TLH24986,TLH24985) )
| sP127_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell58
& TLH24986 = cell57 )
| sP128_prd(TLH24986,TLH24985)
| ~ sP127_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1037]) ).
fof(f1041,plain,
! [X0,X1] :
( ~ sP128_prd(X0,X1)
| sP127_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1038]) ).
fof(f1043,definition,
! [TLH24985,TLH24986] :
( sP129_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell55 )
| ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP129_prd])],[]) ).
fof(f1044,plain,
! [TLH24985,TLH24986] :
( sP128_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell56 )
| sP129_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1035,f1043]) ).
fof(f1045,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell57
| TLH24986 != cell56 )
& ~ sP129_prd(TLH24986,TLH24985) )
| sP128_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell57
& TLH24986 = cell56 )
| sP129_prd(TLH24986,TLH24985)
| ~ sP128_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1044]) ).
fof(f1046,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell57
| TLH24986 != cell56 )
& ~ sP129_prd(TLH24986,TLH24985) )
| sP128_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell57
& TLH24986 = cell56 )
| sP129_prd(TLH24986,TLH24985)
| ~ sP128_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1045]) ).
fof(f1049,plain,
! [X0,X1] :
( ~ sP129_prd(X0,X1)
| sP128_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1046]) ).
fof(f1051,definition,
! [TLH24985,TLH24986] :
( sP130_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell54 )
| ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP130_prd])],[]) ).
fof(f1052,plain,
! [TLH24985,TLH24986] :
( sP129_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell55 )
| sP130_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1043,f1051]) ).
fof(f1053,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell56
| TLH24986 != cell55 )
& ~ sP130_prd(TLH24986,TLH24985) )
| sP129_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell56
& TLH24986 = cell55 )
| sP130_prd(TLH24986,TLH24985)
| ~ sP129_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1052]) ).
fof(f1054,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell56
| TLH24986 != cell55 )
& ~ sP130_prd(TLH24986,TLH24985) )
| sP129_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell56
& TLH24986 = cell55 )
| sP130_prd(TLH24986,TLH24985)
| ~ sP129_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1053]) ).
fof(f1057,plain,
! [X0,X1] :
( ~ sP130_prd(X0,X1)
| sP129_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1054]) ).
fof(f1059,definition,
! [TLH24985,TLH24986] :
( sP131_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell53 )
| ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP131_prd])],[]) ).
fof(f1060,plain,
! [TLH24985,TLH24986] :
( sP130_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell54 )
| sP131_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1051,f1059]) ).
fof(f1061,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell55
| TLH24986 != cell54 )
& ~ sP131_prd(TLH24986,TLH24985) )
| sP130_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell55
& TLH24986 = cell54 )
| sP131_prd(TLH24986,TLH24985)
| ~ sP130_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1060]) ).
fof(f1062,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell55
| TLH24986 != cell54 )
& ~ sP131_prd(TLH24986,TLH24985) )
| sP130_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell55
& TLH24986 = cell54 )
| sP131_prd(TLH24986,TLH24985)
| ~ sP130_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1061]) ).
fof(f1065,plain,
! [X0,X1] :
( ~ sP131_prd(X0,X1)
| sP130_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1067,definition,
! [TLH24985,TLH24986] :
( sP132_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell52 )
| ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP132_prd])],[]) ).
fof(f1068,plain,
! [TLH24985,TLH24986] :
( sP131_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell53 )
| sP132_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1059,f1067]) ).
fof(f1069,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell54
| TLH24986 != cell53 )
& ~ sP132_prd(TLH24986,TLH24985) )
| sP131_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell54
& TLH24986 = cell53 )
| sP132_prd(TLH24986,TLH24985)
| ~ sP131_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1068]) ).
fof(f1070,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell54
| TLH24986 != cell53 )
& ~ sP132_prd(TLH24986,TLH24985) )
| sP131_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell54
& TLH24986 = cell53 )
| sP132_prd(TLH24986,TLH24985)
| ~ sP131_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1069]) ).
fof(f1073,plain,
! [X0,X1] :
( ~ sP132_prd(X0,X1)
| sP131_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1070]) ).
fof(f1075,definition,
! [TLH24985,TLH24986] :
( sP133_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell51 )
| ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP133_prd])],[]) ).
fof(f1076,plain,
! [TLH24985,TLH24986] :
( sP132_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell52 )
| sP133_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1067,f1075]) ).
fof(f1077,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell53
| TLH24986 != cell52 )
& ~ sP133_prd(TLH24986,TLH24985) )
| sP132_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell53
& TLH24986 = cell52 )
| sP133_prd(TLH24986,TLH24985)
| ~ sP132_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1076]) ).
fof(f1078,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell53
| TLH24986 != cell52 )
& ~ sP133_prd(TLH24986,TLH24985) )
| sP132_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell53
& TLH24986 = cell52 )
| sP133_prd(TLH24986,TLH24985)
| ~ sP132_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1077]) ).
fof(f1081,plain,
! [X0,X1] :
( ~ sP133_prd(X0,X1)
| sP132_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1078]) ).
fof(f1083,definition,
! [TLH24985,TLH24986] :
( sP134_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell49 )
| ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP134_prd])],[]) ).
fof(f1084,plain,
! [TLH24985,TLH24986] :
( sP133_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell51 )
| sP134_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1075,f1083]) ).
fof(f1085,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell52
| TLH24986 != cell51 )
& ~ sP134_prd(TLH24986,TLH24985) )
| sP133_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell52
& TLH24986 = cell51 )
| sP134_prd(TLH24986,TLH24985)
| ~ sP133_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1084]) ).
fof(f1086,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell52
| TLH24986 != cell51 )
& ~ sP134_prd(TLH24986,TLH24985) )
| sP133_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell52
& TLH24986 = cell51 )
| sP134_prd(TLH24986,TLH24985)
| ~ sP133_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1085]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ sP134_prd(X0,X1)
| sP133_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1086]) ).
fof(f1091,definition,
! [TLH24985,TLH24986] :
( sP135_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell48 )
| ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP135_prd])],[]) ).
fof(f1092,plain,
! [TLH24985,TLH24986] :
( sP134_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell49 )
| sP135_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1083,f1091]) ).
fof(f1093,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell50
| TLH24986 != cell49 )
& ~ sP135_prd(TLH24986,TLH24985) )
| sP134_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell50
& TLH24986 = cell49 )
| sP135_prd(TLH24986,TLH24985)
| ~ sP134_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1092]) ).
fof(f1094,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell50
| TLH24986 != cell49 )
& ~ sP135_prd(TLH24986,TLH24985) )
| sP134_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell50
& TLH24986 = cell49 )
| sP135_prd(TLH24986,TLH24985)
| ~ sP134_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1093]) ).
fof(f1097,plain,
! [X0,X1] :
( ~ sP135_prd(X0,X1)
| sP134_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1094]) ).
fof(f1099,definition,
! [TLH24985,TLH24986] :
( sP136_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell47 )
| ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP136_prd])],[]) ).
fof(f1100,plain,
! [TLH24985,TLH24986] :
( sP135_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell48 )
| sP136_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1091,f1099]) ).
fof(f1101,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell49
| TLH24986 != cell48 )
& ~ sP136_prd(TLH24986,TLH24985) )
| sP135_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell49
& TLH24986 = cell48 )
| sP136_prd(TLH24986,TLH24985)
| ~ sP135_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1100]) ).
fof(f1102,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell49
| TLH24986 != cell48 )
& ~ sP136_prd(TLH24986,TLH24985) )
| sP135_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell49
& TLH24986 = cell48 )
| sP136_prd(TLH24986,TLH24985)
| ~ sP135_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1101]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ sP136_prd(X0,X1)
| sP135_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1102]) ).
fof(f1107,definition,
! [TLH24985,TLH24986] :
( sP137_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell46 )
| ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP137_prd])],[]) ).
fof(f1108,plain,
! [TLH24985,TLH24986] :
( sP136_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell47 )
| sP137_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1099,f1107]) ).
fof(f1109,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell48
| TLH24986 != cell47 )
& ~ sP137_prd(TLH24986,TLH24985) )
| sP136_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell48
& TLH24986 = cell47 )
| sP137_prd(TLH24986,TLH24985)
| ~ sP136_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1108]) ).
fof(f1110,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell48
| TLH24986 != cell47 )
& ~ sP137_prd(TLH24986,TLH24985) )
| sP136_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell48
& TLH24986 = cell47 )
| sP137_prd(TLH24986,TLH24985)
| ~ sP136_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1109]) ).
fof(f1113,plain,
! [X0,X1] :
( ~ sP137_prd(X0,X1)
| sP136_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1110]) ).
fof(f1115,definition,
! [TLH24985,TLH24986] :
( sP138_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell45 )
| ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP138_prd])],[]) ).
fof(f1116,plain,
! [TLH24985,TLH24986] :
( sP137_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell46 )
| sP138_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1107,f1115]) ).
fof(f1117,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell47
| TLH24986 != cell46 )
& ~ sP138_prd(TLH24986,TLH24985) )
| sP137_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell47
& TLH24986 = cell46 )
| sP138_prd(TLH24986,TLH24985)
| ~ sP137_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1116]) ).
fof(f1118,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell47
| TLH24986 != cell46 )
& ~ sP138_prd(TLH24986,TLH24985) )
| sP137_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell47
& TLH24986 = cell46 )
| sP138_prd(TLH24986,TLH24985)
| ~ sP137_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1117]) ).
fof(f1121,plain,
! [X0,X1] :
( ~ sP138_prd(X0,X1)
| sP137_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1118]) ).
fof(f1123,definition,
! [TLH24985,TLH24986] :
( sP139_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell44 )
| ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP139_prd])],[]) ).
fof(f1124,plain,
! [TLH24985,TLH24986] :
( sP138_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell45 )
| sP139_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1115,f1123]) ).
fof(f1125,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell46
| TLH24986 != cell45 )
& ~ sP139_prd(TLH24986,TLH24985) )
| sP138_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell46
& TLH24986 = cell45 )
| sP139_prd(TLH24986,TLH24985)
| ~ sP138_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1124]) ).
fof(f1126,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell46
| TLH24986 != cell45 )
& ~ sP139_prd(TLH24986,TLH24985) )
| sP138_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell46
& TLH24986 = cell45 )
| sP139_prd(TLH24986,TLH24985)
| ~ sP138_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1125]) ).
fof(f1129,plain,
! [X0,X1] :
( ~ sP139_prd(X0,X1)
| sP138_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1126]) ).
fof(f1131,definition,
! [TLH24985,TLH24986] :
( sP140_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell43 )
| ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP140_prd])],[]) ).
fof(f1132,plain,
! [TLH24985,TLH24986] :
( sP139_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell44 )
| sP140_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1123,f1131]) ).
fof(f1133,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell45
| TLH24986 != cell44 )
& ~ sP140_prd(TLH24986,TLH24985) )
| sP139_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell45
& TLH24986 = cell44 )
| sP140_prd(TLH24986,TLH24985)
| ~ sP139_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1132]) ).
fof(f1134,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell45
| TLH24986 != cell44 )
& ~ sP140_prd(TLH24986,TLH24985) )
| sP139_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell45
& TLH24986 = cell44 )
| sP140_prd(TLH24986,TLH24985)
| ~ sP139_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1133]) ).
fof(f1137,plain,
! [X0,X1] :
( ~ sP140_prd(X0,X1)
| sP139_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1134]) ).
fof(f1139,definition,
! [TLH24985,TLH24986] :
( sP141_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell42 )
| ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP141_prd])],[]) ).
fof(f1140,plain,
! [TLH24985,TLH24986] :
( sP140_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell43 )
| sP141_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1131,f1139]) ).
fof(f1141,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell44
| TLH24986 != cell43 )
& ~ sP141_prd(TLH24986,TLH24985) )
| sP140_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell44
& TLH24986 = cell43 )
| sP141_prd(TLH24986,TLH24985)
| ~ sP140_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1140]) ).
fof(f1142,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell44
| TLH24986 != cell43 )
& ~ sP141_prd(TLH24986,TLH24985) )
| sP140_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell44
& TLH24986 = cell43 )
| sP141_prd(TLH24986,TLH24985)
| ~ sP140_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1141]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ sP141_prd(X0,X1)
| sP140_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1142]) ).
fof(f1147,definition,
! [TLH24985,TLH24986] :
( sP142_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell41 )
| ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP142_prd])],[]) ).
fof(f1148,plain,
! [TLH24985,TLH24986] :
( sP141_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell42 )
| sP142_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1139,f1147]) ).
fof(f1149,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell43
| TLH24986 != cell42 )
& ~ sP142_prd(TLH24986,TLH24985) )
| sP141_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell43
& TLH24986 = cell42 )
| sP142_prd(TLH24986,TLH24985)
| ~ sP141_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1148]) ).
fof(f1150,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell43
| TLH24986 != cell42 )
& ~ sP142_prd(TLH24986,TLH24985) )
| sP141_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell43
& TLH24986 = cell42 )
| sP142_prd(TLH24986,TLH24985)
| ~ sP141_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1149]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ sP142_prd(X0,X1)
| sP141_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1150]) ).
fof(f1155,definition,
! [TLH24985,TLH24986] :
( sP143_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell39 )
| ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP143_prd])],[]) ).
fof(f1156,plain,
! [TLH24985,TLH24986] :
( sP142_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell41 )
| sP143_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1147,f1155]) ).
fof(f1157,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell42
| TLH24986 != cell41 )
& ~ sP143_prd(TLH24986,TLH24985) )
| sP142_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell42
& TLH24986 = cell41 )
| sP143_prd(TLH24986,TLH24985)
| ~ sP142_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1156]) ).
fof(f1158,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell42
| TLH24986 != cell41 )
& ~ sP143_prd(TLH24986,TLH24985) )
| sP142_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell42
& TLH24986 = cell41 )
| sP143_prd(TLH24986,TLH24985)
| ~ sP142_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1157]) ).
fof(f1161,plain,
! [X0,X1] :
( ~ sP143_prd(X0,X1)
| sP142_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f1163,definition,
! [TLH24985,TLH24986] :
( sP144_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell38 )
| ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP144_prd])],[]) ).
fof(f1164,plain,
! [TLH24985,TLH24986] :
( sP143_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell39 )
| sP144_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1155,f1163]) ).
fof(f1165,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell40
| TLH24986 != cell39 )
& ~ sP144_prd(TLH24986,TLH24985) )
| sP143_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell40
& TLH24986 = cell39 )
| sP144_prd(TLH24986,TLH24985)
| ~ sP143_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell40
| TLH24986 != cell39 )
& ~ sP144_prd(TLH24986,TLH24985) )
| sP143_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell40
& TLH24986 = cell39 )
| sP144_prd(TLH24986,TLH24985)
| ~ sP143_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1165]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ sP144_prd(X0,X1)
| sP143_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1166]) ).
fof(f1171,definition,
! [TLH24985,TLH24986] :
( sP145_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell37 )
| ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP145_prd])],[]) ).
fof(f1172,plain,
! [TLH24985,TLH24986] :
( sP144_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell38 )
| sP145_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1163,f1171]) ).
fof(f1173,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell39
| TLH24986 != cell38 )
& ~ sP145_prd(TLH24986,TLH24985) )
| sP144_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell39
& TLH24986 = cell38 )
| sP145_prd(TLH24986,TLH24985)
| ~ sP144_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1172]) ).
fof(f1174,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell39
| TLH24986 != cell38 )
& ~ sP145_prd(TLH24986,TLH24985) )
| sP144_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell39
& TLH24986 = cell38 )
| sP145_prd(TLH24986,TLH24985)
| ~ sP144_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1173]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ sP145_prd(X0,X1)
| sP144_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1174]) ).
fof(f1179,definition,
! [TLH24985,TLH24986] :
( sP146_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell36 )
| ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP146_prd])],[]) ).
fof(f1180,plain,
! [TLH24985,TLH24986] :
( sP145_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell37 )
| sP146_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1171,f1179]) ).
fof(f1181,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell38
| TLH24986 != cell37 )
& ~ sP146_prd(TLH24986,TLH24985) )
| sP145_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell38
& TLH24986 = cell37 )
| sP146_prd(TLH24986,TLH24985)
| ~ sP145_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1180]) ).
fof(f1182,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell38
| TLH24986 != cell37 )
& ~ sP146_prd(TLH24986,TLH24985) )
| sP145_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell38
& TLH24986 = cell37 )
| sP146_prd(TLH24986,TLH24985)
| ~ sP145_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1181]) ).
fof(f1185,plain,
! [X0,X1] :
( ~ sP146_prd(X0,X1)
| sP145_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1182]) ).
fof(f1187,definition,
! [TLH24985,TLH24986] :
( sP147_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell35 )
| ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP147_prd])],[]) ).
fof(f1188,plain,
! [TLH24985,TLH24986] :
( sP146_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell36 )
| sP147_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1179,f1187]) ).
fof(f1189,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell37
| TLH24986 != cell36 )
& ~ sP147_prd(TLH24986,TLH24985) )
| sP146_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell37
& TLH24986 = cell36 )
| sP147_prd(TLH24986,TLH24985)
| ~ sP146_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1188]) ).
fof(f1190,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell37
| TLH24986 != cell36 )
& ~ sP147_prd(TLH24986,TLH24985) )
| sP146_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell37
& TLH24986 = cell36 )
| sP147_prd(TLH24986,TLH24985)
| ~ sP146_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1189]) ).
fof(f1193,plain,
! [X0,X1] :
( ~ sP147_prd(X0,X1)
| sP146_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1190]) ).
fof(f1195,definition,
! [TLH24985,TLH24986] :
( sP148_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell34 )
| ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP148_prd])],[]) ).
fof(f1196,plain,
! [TLH24985,TLH24986] :
( sP147_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell35 )
| sP148_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1187,f1195]) ).
fof(f1197,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell36
| TLH24986 != cell35 )
& ~ sP148_prd(TLH24986,TLH24985) )
| sP147_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell36
& TLH24986 = cell35 )
| sP148_prd(TLH24986,TLH24985)
| ~ sP147_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1196]) ).
fof(f1198,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell36
| TLH24986 != cell35 )
& ~ sP148_prd(TLH24986,TLH24985) )
| sP147_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell36
& TLH24986 = cell35 )
| sP148_prd(TLH24986,TLH24985)
| ~ sP147_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1197]) ).
fof(f1201,plain,
! [X0,X1] :
( ~ sP148_prd(X0,X1)
| sP147_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1198]) ).
fof(f1203,definition,
! [TLH24985,TLH24986] :
( sP149_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell33 )
| ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP149_prd])],[]) ).
fof(f1204,plain,
! [TLH24985,TLH24986] :
( sP148_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell34 )
| sP149_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1195,f1203]) ).
fof(f1205,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell35
| TLH24986 != cell34 )
& ~ sP149_prd(TLH24986,TLH24985) )
| sP148_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell35
& TLH24986 = cell34 )
| sP149_prd(TLH24986,TLH24985)
| ~ sP148_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1204]) ).
fof(f1206,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell35
| TLH24986 != cell34 )
& ~ sP149_prd(TLH24986,TLH24985) )
| sP148_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell35
& TLH24986 = cell34 )
| sP149_prd(TLH24986,TLH24985)
| ~ sP148_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1205]) ).
fof(f1209,plain,
! [X0,X1] :
( ~ sP149_prd(X0,X1)
| sP148_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1206]) ).
fof(f1211,definition,
! [TLH24985,TLH24986] :
( sP150_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell32 )
| ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP150_prd])],[]) ).
fof(f1212,plain,
! [TLH24985,TLH24986] :
( sP149_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell33 )
| sP150_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1203,f1211]) ).
fof(f1213,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell34
| TLH24986 != cell33 )
& ~ sP150_prd(TLH24986,TLH24985) )
| sP149_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell34
& TLH24986 = cell33 )
| sP150_prd(TLH24986,TLH24985)
| ~ sP149_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell34
| TLH24986 != cell33 )
& ~ sP150_prd(TLH24986,TLH24985) )
| sP149_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell34
& TLH24986 = cell33 )
| sP150_prd(TLH24986,TLH24985)
| ~ sP149_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1213]) ).
fof(f1217,plain,
! [X0,X1] :
( ~ sP150_prd(X0,X1)
| sP149_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1214]) ).
fof(f1219,definition,
! [TLH24985,TLH24986] :
( sP151_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell31 )
| ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP151_prd])],[]) ).
fof(f1220,plain,
! [TLH24985,TLH24986] :
( sP150_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell32 )
| sP151_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1211,f1219]) ).
fof(f1221,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell33
| TLH24986 != cell32 )
& ~ sP151_prd(TLH24986,TLH24985) )
| sP150_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell33
& TLH24986 = cell32 )
| sP151_prd(TLH24986,TLH24985)
| ~ sP150_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1220]) ).
fof(f1222,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell33
| TLH24986 != cell32 )
& ~ sP151_prd(TLH24986,TLH24985) )
| sP150_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell33
& TLH24986 = cell32 )
| sP151_prd(TLH24986,TLH24985)
| ~ sP150_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1221]) ).
fof(f1225,plain,
! [X0,X1] :
( ~ sP151_prd(X0,X1)
| sP150_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1222]) ).
fof(f1227,definition,
! [TLH24985,TLH24986] :
( sP152_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell29 )
| ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP152_prd])],[]) ).
fof(f1228,plain,
! [TLH24985,TLH24986] :
( sP151_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell31 )
| sP152_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1219,f1227]) ).
fof(f1229,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell32
| TLH24986 != cell31 )
& ~ sP152_prd(TLH24986,TLH24985) )
| sP151_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell32
& TLH24986 = cell31 )
| sP152_prd(TLH24986,TLH24985)
| ~ sP151_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1228]) ).
fof(f1230,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell32
| TLH24986 != cell31 )
& ~ sP152_prd(TLH24986,TLH24985) )
| sP151_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell32
& TLH24986 = cell31 )
| sP152_prd(TLH24986,TLH24985)
| ~ sP151_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1229]) ).
fof(f1233,plain,
! [X0,X1] :
( ~ sP152_prd(X0,X1)
| sP151_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1235,definition,
! [TLH24985,TLH24986] :
( sP153_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell28 )
| ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP153_prd])],[]) ).
fof(f1236,plain,
! [TLH24985,TLH24986] :
( sP152_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell29 )
| sP153_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1227,f1235]) ).
fof(f1237,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell30
| TLH24986 != cell29 )
& ~ sP153_prd(TLH24986,TLH24985) )
| sP152_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell30
& TLH24986 = cell29 )
| sP153_prd(TLH24986,TLH24985)
| ~ sP152_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell30
| TLH24986 != cell29 )
& ~ sP153_prd(TLH24986,TLH24985) )
| sP152_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell30
& TLH24986 = cell29 )
| sP153_prd(TLH24986,TLH24985)
| ~ sP152_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1237]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ sP153_prd(X0,X1)
| sP152_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1238]) ).
fof(f1243,definition,
! [TLH24985,TLH24986] :
( sP154_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell27 )
| ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP154_prd])],[]) ).
fof(f1244,plain,
! [TLH24985,TLH24986] :
( sP153_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell28 )
| sP154_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1235,f1243]) ).
fof(f1245,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell29
| TLH24986 != cell28 )
& ~ sP154_prd(TLH24986,TLH24985) )
| sP153_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell29
& TLH24986 = cell28 )
| sP154_prd(TLH24986,TLH24985)
| ~ sP153_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1244]) ).
fof(f1246,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell29
| TLH24986 != cell28 )
& ~ sP154_prd(TLH24986,TLH24985) )
| sP153_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell29
& TLH24986 = cell28 )
| sP154_prd(TLH24986,TLH24985)
| ~ sP153_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1245]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sP154_prd(X0,X1)
| sP153_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1246]) ).
fof(f1251,definition,
! [TLH24985,TLH24986] :
( sP155_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell26 )
| ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP155_prd])],[]) ).
fof(f1252,plain,
! [TLH24985,TLH24986] :
( sP154_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell27 )
| sP155_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1243,f1251]) ).
fof(f1253,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell28
| TLH24986 != cell27 )
& ~ sP155_prd(TLH24986,TLH24985) )
| sP154_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell28
& TLH24986 = cell27 )
| sP155_prd(TLH24986,TLH24985)
| ~ sP154_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1252]) ).
fof(f1254,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell28
| TLH24986 != cell27 )
& ~ sP155_prd(TLH24986,TLH24985) )
| sP154_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell28
& TLH24986 = cell27 )
| sP155_prd(TLH24986,TLH24985)
| ~ sP154_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1253]) ).
fof(f1257,plain,
! [X0,X1] :
( ~ sP155_prd(X0,X1)
| sP154_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1254]) ).
fof(f1259,definition,
! [TLH24985,TLH24986] :
( sP156_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell25 )
| ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP156_prd])],[]) ).
fof(f1260,plain,
! [TLH24985,TLH24986] :
( sP155_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell26 )
| sP156_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1251,f1259]) ).
fof(f1261,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell27
| TLH24986 != cell26 )
& ~ sP156_prd(TLH24986,TLH24985) )
| sP155_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell27
& TLH24986 = cell26 )
| sP156_prd(TLH24986,TLH24985)
| ~ sP155_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1260]) ).
fof(f1262,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell27
| TLH24986 != cell26 )
& ~ sP156_prd(TLH24986,TLH24985) )
| sP155_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell27
& TLH24986 = cell26 )
| sP156_prd(TLH24986,TLH24985)
| ~ sP155_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1261]) ).
fof(f1265,plain,
! [X0,X1] :
( ~ sP156_prd(X0,X1)
| sP155_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1262]) ).
fof(f1267,definition,
! [TLH24985,TLH24986] :
( sP157_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell24 )
| ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP157_prd])],[]) ).
fof(f1268,plain,
! [TLH24985,TLH24986] :
( sP156_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell25 )
| sP157_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1259,f1267]) ).
fof(f1269,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell26
| TLH24986 != cell25 )
& ~ sP157_prd(TLH24986,TLH24985) )
| sP156_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell26
& TLH24986 = cell25 )
| sP157_prd(TLH24986,TLH24985)
| ~ sP156_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1268]) ).
fof(f1270,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell26
| TLH24986 != cell25 )
& ~ sP157_prd(TLH24986,TLH24985) )
| sP156_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell26
& TLH24986 = cell25 )
| sP157_prd(TLH24986,TLH24985)
| ~ sP156_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1269]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ sP157_prd(X0,X1)
| sP156_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1270]) ).
fof(f1275,definition,
! [TLH24985,TLH24986] :
( sP158_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell23 )
| ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP158_prd])],[]) ).
fof(f1276,plain,
! [TLH24985,TLH24986] :
( sP157_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell24 )
| sP158_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1267,f1275]) ).
fof(f1277,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell25
| TLH24986 != cell24 )
& ~ sP158_prd(TLH24986,TLH24985) )
| sP157_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell25
& TLH24986 = cell24 )
| sP158_prd(TLH24986,TLH24985)
| ~ sP157_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1276]) ).
fof(f1278,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell25
| TLH24986 != cell24 )
& ~ sP158_prd(TLH24986,TLH24985) )
| sP157_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell25
& TLH24986 = cell24 )
| sP158_prd(TLH24986,TLH24985)
| ~ sP157_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1277]) ).
fof(f1281,plain,
! [X0,X1] :
( ~ sP158_prd(X0,X1)
| sP157_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1283,definition,
! [TLH24985,TLH24986] :
( sP159_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell22 )
| ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP159_prd])],[]) ).
fof(f1284,plain,
! [TLH24985,TLH24986] :
( sP158_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell23 )
| sP159_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1275,f1283]) ).
fof(f1285,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell24
| TLH24986 != cell23 )
& ~ sP159_prd(TLH24986,TLH24985) )
| sP158_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell24
& TLH24986 = cell23 )
| sP159_prd(TLH24986,TLH24985)
| ~ sP158_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1284]) ).
fof(f1286,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell24
| TLH24986 != cell23 )
& ~ sP159_prd(TLH24986,TLH24985) )
| sP158_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell24
& TLH24986 = cell23 )
| sP159_prd(TLH24986,TLH24985)
| ~ sP158_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1285]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ sP159_prd(X0,X1)
| sP158_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1286]) ).
fof(f1291,definition,
! [TLH24985,TLH24986] :
( sP160_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell21 )
| ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP160_prd])],[]) ).
fof(f1292,plain,
! [TLH24985,TLH24986] :
( sP159_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell22 )
| sP160_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1283,f1291]) ).
fof(f1293,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell23
| TLH24986 != cell22 )
& ~ sP160_prd(TLH24986,TLH24985) )
| sP159_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell23
& TLH24986 = cell22 )
| sP160_prd(TLH24986,TLH24985)
| ~ sP159_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1292]) ).
fof(f1294,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell23
| TLH24986 != cell22 )
& ~ sP160_prd(TLH24986,TLH24985) )
| sP159_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell23
& TLH24986 = cell22 )
| sP160_prd(TLH24986,TLH24985)
| ~ sP159_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1293]) ).
fof(f1297,plain,
! [X0,X1] :
( ~ sP160_prd(X0,X1)
| sP159_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1294]) ).
fof(f1299,definition,
! [TLH24985,TLH24986] :
( sP161_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell19 )
| ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP161_prd])],[]) ).
fof(f1300,plain,
! [TLH24985,TLH24986] :
( sP160_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell21 )
| sP161_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1291,f1299]) ).
fof(f1301,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell22
| TLH24986 != cell21 )
& ~ sP161_prd(TLH24986,TLH24985) )
| sP160_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell22
& TLH24986 = cell21 )
| sP161_prd(TLH24986,TLH24985)
| ~ sP160_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1300]) ).
fof(f1302,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell22
| TLH24986 != cell21 )
& ~ sP161_prd(TLH24986,TLH24985) )
| sP160_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell22
& TLH24986 = cell21 )
| sP161_prd(TLH24986,TLH24985)
| ~ sP160_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1301]) ).
fof(f1305,plain,
! [X0,X1] :
( ~ sP161_prd(X0,X1)
| sP160_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1302]) ).
fof(f1307,definition,
! [TLH24985,TLH24986] :
( sP162_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell18 )
| ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP162_prd])],[]) ).
fof(f1308,plain,
! [TLH24985,TLH24986] :
( sP161_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell19 )
| sP162_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1299,f1307]) ).
fof(f1309,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell20
| TLH24986 != cell19 )
& ~ sP162_prd(TLH24986,TLH24985) )
| sP161_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell20
& TLH24986 = cell19 )
| sP162_prd(TLH24986,TLH24985)
| ~ sP161_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1308]) ).
fof(f1310,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell20
| TLH24986 != cell19 )
& ~ sP162_prd(TLH24986,TLH24985) )
| sP161_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell20
& TLH24986 = cell19 )
| sP162_prd(TLH24986,TLH24985)
| ~ sP161_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1309]) ).
fof(f1313,plain,
! [X0,X1] :
( ~ sP162_prd(X0,X1)
| sP161_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1310]) ).
fof(f1315,definition,
! [TLH24985,TLH24986] :
( sP163_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell17 )
| ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP163_prd])],[]) ).
fof(f1316,plain,
! [TLH24985,TLH24986] :
( sP162_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell18 )
| sP163_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1307,f1315]) ).
fof(f1317,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell19
| TLH24986 != cell18 )
& ~ sP163_prd(TLH24986,TLH24985) )
| sP162_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell19
& TLH24986 = cell18 )
| sP163_prd(TLH24986,TLH24985)
| ~ sP162_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1316]) ).
fof(f1318,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell19
| TLH24986 != cell18 )
& ~ sP163_prd(TLH24986,TLH24985) )
| sP162_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell19
& TLH24986 = cell18 )
| sP163_prd(TLH24986,TLH24985)
| ~ sP162_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1317]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ sP163_prd(X0,X1)
| sP162_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1318]) ).
fof(f1323,definition,
! [TLH24985,TLH24986] :
( sP164_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell16 )
| ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP164_prd])],[]) ).
fof(f1324,plain,
! [TLH24985,TLH24986] :
( sP163_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell17 )
| sP164_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1315,f1323]) ).
fof(f1325,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell18
| TLH24986 != cell17 )
& ~ sP164_prd(TLH24986,TLH24985) )
| sP163_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell18
& TLH24986 = cell17 )
| sP164_prd(TLH24986,TLH24985)
| ~ sP163_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell18
| TLH24986 != cell17 )
& ~ sP164_prd(TLH24986,TLH24985) )
| sP163_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell18
& TLH24986 = cell17 )
| sP164_prd(TLH24986,TLH24985)
| ~ sP163_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1325]) ).
fof(f1329,plain,
! [X0,X1] :
( ~ sP164_prd(X0,X1)
| sP163_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1326]) ).
fof(f1331,definition,
! [TLH24985,TLH24986] :
( sP165_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell15 )
| ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP165_prd])],[]) ).
fof(f1332,plain,
! [TLH24985,TLH24986] :
( sP164_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell16 )
| sP165_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1323,f1331]) ).
fof(f1333,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell17
| TLH24986 != cell16 )
& ~ sP165_prd(TLH24986,TLH24985) )
| sP164_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell17
& TLH24986 = cell16 )
| sP165_prd(TLH24986,TLH24985)
| ~ sP164_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1332]) ).
fof(f1334,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell17
| TLH24986 != cell16 )
& ~ sP165_prd(TLH24986,TLH24985) )
| sP164_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell17
& TLH24986 = cell16 )
| sP165_prd(TLH24986,TLH24985)
| ~ sP164_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1333]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ sP165_prd(X0,X1)
| sP164_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1334]) ).
fof(f1339,definition,
! [TLH24985,TLH24986] :
( sP166_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell14 )
| ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP166_prd])],[]) ).
fof(f1340,plain,
! [TLH24985,TLH24986] :
( sP165_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell15 )
| sP166_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1331,f1339]) ).
fof(f1341,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell16
| TLH24986 != cell15 )
& ~ sP166_prd(TLH24986,TLH24985) )
| sP165_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell16
& TLH24986 = cell15 )
| sP166_prd(TLH24986,TLH24985)
| ~ sP165_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1340]) ).
fof(f1342,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell16
| TLH24986 != cell15 )
& ~ sP166_prd(TLH24986,TLH24985) )
| sP165_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell16
& TLH24986 = cell15 )
| sP166_prd(TLH24986,TLH24985)
| ~ sP165_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1341]) ).
fof(f1345,plain,
! [X0,X1] :
( ~ sP166_prd(X0,X1)
| sP165_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1342]) ).
fof(f1347,definition,
! [TLH24985,TLH24986] :
( sP167_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell13 )
| ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP167_prd])],[]) ).
fof(f1348,plain,
! [TLH24985,TLH24986] :
( sP166_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell14 )
| sP167_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1339,f1347]) ).
fof(f1349,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell15
| TLH24986 != cell14 )
& ~ sP167_prd(TLH24986,TLH24985) )
| sP166_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell15
& TLH24986 = cell14 )
| sP167_prd(TLH24986,TLH24985)
| ~ sP166_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1348]) ).
fof(f1350,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell15
| TLH24986 != cell14 )
& ~ sP167_prd(TLH24986,TLH24985) )
| sP166_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell15
& TLH24986 = cell14 )
| sP167_prd(TLH24986,TLH24985)
| ~ sP166_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1349]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ sP167_prd(X0,X1)
| sP166_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1350]) ).
fof(f1355,definition,
! [TLH24985,TLH24986] :
( sP168_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell12 )
| ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP168_prd])],[]) ).
fof(f1356,plain,
! [TLH24985,TLH24986] :
( sP167_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell13 )
| sP168_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1347,f1355]) ).
fof(f1357,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell14
| TLH24986 != cell13 )
& ~ sP168_prd(TLH24986,TLH24985) )
| sP167_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell14
& TLH24986 = cell13 )
| sP168_prd(TLH24986,TLH24985)
| ~ sP167_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1356]) ).
fof(f1358,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell14
| TLH24986 != cell13 )
& ~ sP168_prd(TLH24986,TLH24985) )
| sP167_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell14
& TLH24986 = cell13 )
| sP168_prd(TLH24986,TLH24985)
| ~ sP167_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1357]) ).
fof(f1361,plain,
! [X0,X1] :
( ~ sP168_prd(X0,X1)
| sP167_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1358]) ).
fof(f1363,definition,
! [TLH24985,TLH24986] :
( sP169_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell12
& TLH24986 = cell11 )
| ( TLH24985 = cell10
& TLH24986 = cell9 )
| ( TLH24985 = cell9
& TLH24986 = cell8 )
| ( TLH24985 = cell8
& TLH24986 = cell7 )
| ( TLH24985 = cell7
& TLH24986 = cell6 )
| ( TLH24985 = cell6
& TLH24986 = cell5 )
| ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP169_prd])],[]) ).
fof(f1364,plain,
! [TLH24985,TLH24986] :
( sP168_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell12 )
| sP169_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1355,f1363]) ).
fof(f1365,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell13
| TLH24986 != cell12 )
& ~ sP169_prd(TLH24986,TLH24985) )
| sP168_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell13
& TLH24986 = cell12 )
| sP169_prd(TLH24986,TLH24985)
| ~ sP168_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f1364]) ).
fof(f1366,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell13
| TLH24986 != cell12 )
& ~ sP169_prd(TLH24986,TLH24985) )
| sP168_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell13
& TLH24986 = cell12 )
| sP169_prd(TLH24986,TLH24985)
| ~ sP168_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f1365]) ).
fof(f1370,plain,
! [X0,X1] :
( X1 != cell13
| X0 != cell12
| sP168_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1366]) ).
fof(f1612,plain,
sP168_prd(cell12,cell13),
inference(destructive_equality_resolution,[status(thm)],[f1370]) ).
fof(f1628,plain,
! [X0,X1] :
( adj(X0,X1)
| ~ sP0_prd(X0,X1) ),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f1635,plain,
~ sP0_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1628,f18]) ).
fof(f1641,plain,
~ sP1_prd(cell12,cell13),
inference(resolution,[status(thm)],[f25,f1635]) ).
fof(f1645,plain,
~ sP2_prd(cell12,cell13),
inference(resolution,[status(thm)],[f33,f1641]) ).
fof(f1654,plain,
~ sP3_prd(cell12,cell13),
inference(resolution,[status(thm)],[f41,f1645]) ).
fof(f1658,plain,
~ sP4_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1654,f49]) ).
fof(f1665,plain,
~ sP5_prd(cell12,cell13),
inference(resolution,[status(thm)],[f57,f1658]) ).
fof(f1667,plain,
~ sP6_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1665,f65]) ).
fof(f1678,plain,
~ sP7_prd(cell12,cell13),
inference(resolution,[status(thm)],[f73,f1667]) ).
fof(f1682,plain,
~ sP8_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1678,f81]) ).
fof(f1689,plain,
~ sP9_prd(cell12,cell13),
inference(resolution,[status(thm)],[f89,f1682]) ).
fof(f1691,plain,
~ sP10_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1689,f97]) ).
fof(f1702,plain,
~ sP11_prd(cell12,cell13),
inference(resolution,[status(thm)],[f105,f1691]) ).
fof(f1706,plain,
~ sP12_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1702,f113]) ).
fof(f1920,plain,
! [X0,X1] :
( sP29_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f265,f257]) ).
fof(f1921,plain,
! [X0,X1] :
( sP28_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1920,f249]) ).
fof(f1922,plain,
! [X0,X1] :
( sP27_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1921,f241]) ).
fof(f1923,plain,
! [X0,X1] :
( sP26_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1922,f233]) ).
fof(f1924,plain,
! [X0,X1] :
( sP25_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1923,f225]) ).
fof(f1925,plain,
! [X0,X1] :
( sP24_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1924,f217]) ).
fof(f1926,plain,
! [X0,X1] :
( sP23_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1925,f209]) ).
fof(f1927,plain,
! [X0,X1] :
( sP22_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1926,f201]) ).
fof(f1928,plain,
! [X0,X1] :
( sP21_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1927,f193]) ).
fof(f1929,plain,
! [X0,X1] :
( sP20_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1928,f185]) ).
fof(f1930,plain,
! [X0,X1] :
( sP19_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1929,f177]) ).
fof(f1931,plain,
! [X0,X1] :
( sP18_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1930,f169]) ).
fof(f1932,plain,
! [X0,X1] :
( sP17_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1931,f161]) ).
fof(f1933,plain,
! [X0,X1] :
( sP16_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1932,f153]) ).
fof(f1934,plain,
! [X0,X1] :
( sP15_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1933,f145]) ).
fof(f1935,plain,
! [X0,X1] :
( sP14_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1934,f137]) ).
fof(f1936,plain,
! [X0,X1] :
( sP13_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1935,f129]) ).
fof(f1937,plain,
! [X0,X1] :
( sP12_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(resolution,[status(thm)],[f1936,f121]) ).
fof(f1938,plain,
~ sP31_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1937,f1706]) ).
fof(f1940,plain,
~ sP32_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1938,f273]) ).
fof(f1947,plain,
~ sP33_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1940,f281]) ).
fof(f1954,plain,
~ sP34_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1947,f289]) ).
fof(f1963,plain,
~ sP35_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1954,f297]) ).
fof(f1969,plain,
~ sP36_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1963,f305]) ).
fof(f1975,plain,
~ sP37_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1969,f313]) ).
fof(f1981,plain,
~ sP38_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1975,f321]) ).
fof(f1987,plain,
~ sP39_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1981,f329]) ).
fof(f1999,plain,
~ sP40_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1987,f337]) ).
fof(f2005,plain,
~ sP41_prd(cell12,cell13),
inference(resolution,[status(thm)],[f1999,f345]) ).
fof(f2011,plain,
~ sP42_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2005,f353]) ).
fof(f2017,plain,
~ sP43_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2011,f361]) ).
fof(f2023,plain,
~ sP44_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2017,f369]) ).
fof(f2029,plain,
~ sP45_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2023,f377]) ).
fof(f2035,plain,
~ sP46_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2029,f385]) ).
fof(f2041,plain,
~ sP47_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2035,f393]) ).
fof(f2047,plain,
~ sP48_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2041,f401]) ).
fof(f2053,plain,
~ sP49_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2047,f409]) ).
fof(f2062,plain,
~ sP50_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2053,f417]) ).
fof(f2067,plain,
~ sP51_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2062,f425]) ).
fof(f2070,plain,
~ sP52_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2067,f433]) ).
fof(f2072,plain,
~ sP53_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2070,f441]) ).
fof(f2074,plain,
~ sP54_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2072,f449]) ).
fof(f2082,plain,
~ sP55_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2074,f457]) ).
fof(f2084,plain,
~ sP56_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2082,f465]) ).
fof(f2086,plain,
~ sP57_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2084,f473]) ).
fof(f2088,plain,
~ sP58_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2086,f481]) ).
fof(f2090,plain,
~ sP59_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2088,f489]) ).
fof(f2092,plain,
~ sP60_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2090,f497]) ).
fof(f2094,plain,
~ sP61_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2092,f505]) ).
fof(f2096,plain,
~ sP62_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2094,f513]) ).
fof(f2104,plain,
~ sP63_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2096,f521]) ).
fof(f2106,plain,
~ sP64_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2104,f529]) ).
fof(f2111,plain,
~ sP65_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2106,f537]) ).
fof(f2113,plain,
~ sP66_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2111,f545]) ).
fof(f2115,plain,
~ sP67_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2113,f553]) ).
fof(f2117,plain,
~ sP68_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2115,f561]) ).
fof(f2119,plain,
~ sP69_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2117,f569]) ).
fof(f2127,plain,
~ sP70_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2119,f577]) ).
fof(f2129,plain,
~ sP71_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2127,f585]) ).
fof(f2131,plain,
~ sP72_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2129,f593]) ).
fof(f2133,plain,
~ sP73_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2131,f601]) ).
fof(f2135,plain,
~ sP74_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2133,f609]) ).
fof(f2137,plain,
~ sP75_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2135,f617]) ).
fof(f2139,plain,
~ sP76_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2137,f625]) ).
fof(f2141,plain,
~ sP77_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2139,f633]) ).
fof(f2149,plain,
~ sP78_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2141,f641]) ).
fof(f2151,plain,
~ sP79_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2149,f649]) ).
fof(f2156,plain,
~ sP80_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2151,f657]) ).
fof(f2158,plain,
~ sP81_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2156,f665]) ).
fof(f2160,plain,
~ sP82_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2158,f673]) ).
fof(f2162,plain,
~ sP83_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2160,f681]) ).
fof(f2164,plain,
~ sP84_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2162,f689]) ).
fof(f2172,plain,
~ sP85_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2164,f697]) ).
fof(f2174,plain,
~ sP86_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2172,f705]) ).
fof(f2176,plain,
~ sP87_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2174,f713]) ).
fof(f2178,plain,
~ sP88_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2176,f721]) ).
fof(f2180,plain,
~ sP89_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2178,f729]) ).
fof(f2182,plain,
~ sP90_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2180,f737]) ).
fof(f2184,plain,
~ sP91_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2182,f745]) ).
fof(f2186,plain,
~ sP92_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2184,f753]) ).
fof(f2194,plain,
~ sP93_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2186,f761]) ).
fof(f2196,plain,
~ sP94_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2194,f769]) ).
fof(f2201,plain,
~ sP95_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2196,f777]) ).
fof(f2203,plain,
~ sP96_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2201,f785]) ).
fof(f2205,plain,
~ sP97_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2203,f793]) ).
fof(f2207,plain,
~ sP98_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2205,f801]) ).
fof(f2209,plain,
~ sP99_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2207,f809]) ).
fof(f2217,plain,
~ sP100_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2209,f817]) ).
fof(f2219,plain,
~ sP101_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2217,f825]) ).
fof(f2221,plain,
~ sP102_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2219,f833]) ).
fof(f2223,plain,
~ sP103_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2221,f841]) ).
fof(f2225,plain,
~ sP104_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2223,f849]) ).
fof(f2227,plain,
~ sP105_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2225,f857]) ).
fof(f2229,plain,
~ sP106_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2227,f865]) ).
fof(f2231,plain,
~ sP107_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2229,f873]) ).
fof(f2239,plain,
~ sP108_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2231,f881]) ).
fof(f2241,plain,
~ sP109_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2239,f889]) ).
fof(f2246,plain,
~ sP110_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2241,f897]) ).
fof(f2248,plain,
~ sP111_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2246,f905]) ).
fof(f2250,plain,
~ sP112_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2248,f913]) ).
fof(f2252,plain,
~ sP113_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2250,f921]) ).
fof(f2254,plain,
~ sP114_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2252,f929]) ).
fof(f2262,plain,
~ sP115_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2254,f937]) ).
fof(f2264,plain,
~ sP116_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2262,f945]) ).
fof(f2266,plain,
~ sP117_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2264,f953]) ).
fof(f2268,plain,
~ sP118_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2266,f961]) ).
fof(f2270,plain,
~ sP119_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2268,f969]) ).
fof(f2272,plain,
~ sP120_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2270,f977]) ).
fof(f2274,plain,
~ sP121_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2272,f985]) ).
fof(f2276,plain,
~ sP122_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2274,f993]) ).
fof(f2284,plain,
~ sP123_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2276,f1001]) ).
fof(f2286,plain,
~ sP124_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2284,f1009]) ).
fof(f2291,plain,
~ sP125_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2286,f1017]) ).
fof(f2293,plain,
~ sP126_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2291,f1025]) ).
fof(f2295,plain,
~ sP127_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2293,f1033]) ).
fof(f2297,plain,
~ sP128_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2295,f1041]) ).
fof(f2299,plain,
~ sP129_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2297,f1049]) ).
fof(f2307,plain,
~ sP130_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2299,f1057]) ).
fof(f2309,plain,
~ sP131_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2307,f1065]) ).
fof(f2311,plain,
~ sP132_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2309,f1073]) ).
fof(f2313,plain,
~ sP133_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2311,f1081]) ).
fof(f2315,plain,
~ sP134_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2313,f1089]) ).
fof(f2317,plain,
~ sP135_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2315,f1097]) ).
fof(f2319,plain,
~ sP136_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2317,f1105]) ).
fof(f2321,plain,
~ sP137_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2319,f1113]) ).
fof(f2329,plain,
~ sP138_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2321,f1121]) ).
fof(f2331,plain,
~ sP139_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2329,f1129]) ).
fof(f2336,plain,
~ sP140_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2331,f1137]) ).
fof(f2338,plain,
~ sP141_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2336,f1145]) ).
fof(f2340,plain,
~ sP142_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2338,f1153]) ).
fof(f2342,plain,
~ sP143_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2340,f1161]) ).
fof(f2344,plain,
~ sP144_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2342,f1169]) ).
fof(f2352,plain,
~ sP145_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2344,f1177]) ).
fof(f2354,plain,
~ sP146_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2352,f1185]) ).
fof(f2356,plain,
~ sP147_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2354,f1193]) ).
fof(f2358,plain,
~ sP148_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2356,f1201]) ).
fof(f2360,plain,
~ sP149_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2358,f1209]) ).
fof(f2362,plain,
~ sP150_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2360,f1217]) ).
fof(f2364,plain,
~ sP151_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2362,f1225]) ).
fof(f2366,plain,
~ sP152_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2364,f1233]) ).
fof(f2374,plain,
~ sP153_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2366,f1241]) ).
fof(f2376,plain,
~ sP154_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2374,f1249]) ).
fof(f2381,plain,
~ sP155_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2376,f1257]) ).
fof(f2383,plain,
~ sP156_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2381,f1265]) ).
fof(f2385,plain,
~ sP157_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2383,f1273]) ).
fof(f2387,plain,
~ sP158_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2385,f1281]) ).
fof(f2389,plain,
~ sP159_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2387,f1289]) ).
fof(f2397,plain,
~ sP160_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2389,f1297]) ).
fof(f2399,plain,
~ sP161_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2397,f1305]) ).
fof(f2401,plain,
~ sP162_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2399,f1313]) ).
fof(f2403,plain,
~ sP163_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2401,f1321]) ).
fof(f2405,plain,
~ sP164_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2403,f1329]) ).
fof(f2407,plain,
~ sP165_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2405,f1337]) ).
fof(f2409,plain,
~ sP166_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2407,f1345]) ).
fof(f2411,plain,
~ sP167_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2409,f1353]) ).
fof(f2419,plain,
~ sP168_prd(cell12,cell13),
inference(resolution,[status(thm)],[f2411,f1361]) ).
fof(f2420,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2419,f1612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 03:50:07 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.24/0.53 % Drodi V4.1.1
% 1.11/0.73 % Refutation found
% 1.11/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.11/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.11/0.79 % Elapsed time: 0.343917 seconds
% 1.11/0.79 % CPU time: 1.599819 seconds
% 1.11/0.79 % Total memory used: 146.667 MB
% 1.11/0.79 % Net memory used: 146.091 MB
%------------------------------------------------------------------------------