%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ074+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 : n006.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 02:00:02 PM UTC 2026
% Result : Theorem 0.24s 6.50s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 722
% Number of leaves : 282
% Syntax : Number of formulae : 1999 ( 386 unt; 178 def)
% Number of atoms : 39064 (35296 equ)
% Maximal formula atoms : 361 ( 19 avg)
% Number of connectives : 39067 (2002 ~;19160 |;17547 &)
% ( 358 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 184 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 182 ( 180 usr; 1 prp; 0-2 aty)
% Number of functors : 100 ( 100 usr; 100 con; 0-0 aty)
% Number of variables : 2510 (2510 !; 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(f100,axiom,
cell99 != cell1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
cell99 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,axiom,
cell98 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f296,axiom,
cell97 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f392,axiom,
cell96 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f487,axiom,
cell95 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f581,axiom,
cell94 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f674,axiom,
cell93 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f766,axiom,
cell91 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f857,axiom,
cell92 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f946,axiom,
cell90 != cell1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f947,axiom,
cell90 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1036,axiom,
cell89 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1124,axiom,
cell88 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1211,axiom,
cell87 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1297,axiom,
cell86 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1382,axiom,
cell85 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1466,axiom,
cell84 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1549,axiom,
cell83 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1631,axiom,
cell81 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1712,axiom,
cell82 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1792,axiom,
cell80 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1871,axiom,
cell79 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1949,axiom,
cell78 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2026,axiom,
cell77 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2102,axiom,
cell76 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2177,axiom,
cell75 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2251,axiom,
cell74 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2324,axiom,
cell73 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2396,axiom,
cell71 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2467,axiom,
cell72 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2537,axiom,
cell70 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2606,axiom,
cell69 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2674,axiom,
cell68 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2741,axiom,
cell67 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2807,axiom,
cell66 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2872,axiom,
cell65 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2936,axiom,
cell64 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2999,axiom,
cell63 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3061,axiom,
cell61 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3122,axiom,
cell62 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3182,axiom,
cell60 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3241,axiom,
cell59 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3299,axiom,
cell58 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3356,axiom,
cell57 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3412,axiom,
cell56 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3467,axiom,
cell55 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3521,axiom,
cell54 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3574,axiom,
cell53 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3626,axiom,
cell51 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3677,axiom,
cell52 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3727,axiom,
cell50 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3776,axiom,
cell49 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3824,axiom,
cell48 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3871,axiom,
cell47 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3917,axiom,
cell46 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3962,axiom,
cell45 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4006,axiom,
cell44 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4049,axiom,
cell43 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4091,axiom,
cell41 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4132,axiom,
cell42 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4172,axiom,
cell40 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4211,axiom,
cell39 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4249,axiom,
cell38 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4286,axiom,
cell37 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4322,axiom,
cell36 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4357,axiom,
cell35 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4391,axiom,
cell34 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4424,axiom,
cell33 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4456,axiom,
cell31 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4487,axiom,
cell32 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4517,axiom,
cell30 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4546,axiom,
cell29 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4574,axiom,
cell28 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4601,axiom,
cell27 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4627,axiom,
cell26 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4652,axiom,
cell25 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4676,axiom,
cell24 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4699,axiom,
cell23 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4721,axiom,
cell21 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4742,axiom,
cell22 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4762,axiom,
cell20 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4781,axiom,
cell19 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4799,axiom,
cell18 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4816,axiom,
cell17 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4832,axiom,
cell16 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4847,axiom,
cell15 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4861,axiom,
cell14 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4874,axiom,
cell13 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4886,axiom,
cell11 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4897,axiom,
cell12 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4907,axiom,
cell10 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4916,axiom,
cell9 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4924,axiom,
cell8 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4931,axiom,
cell7 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4937,axiom,
cell6 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4942,axiom,
cell5 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4946,axiom,
cell4 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4949,axiom,
cell3 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4951,axiom,
cell2 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4952,axiom,
cell1 != cell100,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4953,conjecture,
~ adj(cell1,cell100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4954,negated_conjecture,
~ ~ adj(cell1,cell100),
inference(negated_conjecture,[status(cth)],[f4953]) ).
fof(f4955,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(f4956,plain,
! [TLH24985,TLH24986] :
( edge(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell90 )
| sP0_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f1,f4955]) ).
fof(f4957,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)],[f4956]) ).
fof(f4958,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)],[f4957]) ).
fof(f4959,plain,
! [X0,X1] :
( X0 = cell90
| sP0_prd(X0,X1)
| ~ edge(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4958]) ).
fof(f4963,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(f4964,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)],[f4963]) ).
fof(f4965,plain,
! [X0,X1] :
( edge(X1,X0)
| edge(X0,X1)
| ~ adj(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4964]) ).
fof(f5065,plain,
cell99 != cell1,
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f5066,plain,
cell99 != cell100,
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f5164,plain,
cell98 != cell100,
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f5261,plain,
cell97 != cell100,
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f5357,plain,
cell96 != cell100,
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f5452,plain,
cell95 != cell100,
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f5546,plain,
cell94 != cell100,
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f5639,plain,
cell93 != cell100,
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f5731,plain,
cell91 != cell100,
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f5822,plain,
cell92 != cell100,
inference(cnf_transformation,[status(thm)],[f857]) ).
fof(f5911,plain,
cell90 != cell1,
inference(cnf_transformation,[status(thm)],[f946]) ).
fof(f5912,plain,
cell90 != cell100,
inference(cnf_transformation,[status(thm)],[f947]) ).
fof(f6001,plain,
cell89 != cell100,
inference(cnf_transformation,[status(thm)],[f1036]) ).
fof(f6089,plain,
cell88 != cell100,
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f6176,plain,
cell87 != cell100,
inference(cnf_transformation,[status(thm)],[f1211]) ).
fof(f6262,plain,
cell86 != cell100,
inference(cnf_transformation,[status(thm)],[f1297]) ).
fof(f6347,plain,
cell85 != cell100,
inference(cnf_transformation,[status(thm)],[f1382]) ).
fof(f6431,plain,
cell84 != cell100,
inference(cnf_transformation,[status(thm)],[f1466]) ).
fof(f6514,plain,
cell83 != cell100,
inference(cnf_transformation,[status(thm)],[f1549]) ).
fof(f6596,plain,
cell81 != cell100,
inference(cnf_transformation,[status(thm)],[f1631]) ).
fof(f6677,plain,
cell82 != cell100,
inference(cnf_transformation,[status(thm)],[f1712]) ).
fof(f6757,plain,
cell80 != cell100,
inference(cnf_transformation,[status(thm)],[f1792]) ).
fof(f6836,plain,
cell79 != cell100,
inference(cnf_transformation,[status(thm)],[f1871]) ).
fof(f6914,plain,
cell78 != cell100,
inference(cnf_transformation,[status(thm)],[f1949]) ).
fof(f6991,plain,
cell77 != cell100,
inference(cnf_transformation,[status(thm)],[f2026]) ).
fof(f7067,plain,
cell76 != cell100,
inference(cnf_transformation,[status(thm)],[f2102]) ).
fof(f7142,plain,
cell75 != cell100,
inference(cnf_transformation,[status(thm)],[f2177]) ).
fof(f7216,plain,
cell74 != cell100,
inference(cnf_transformation,[status(thm)],[f2251]) ).
fof(f7289,plain,
cell73 != cell100,
inference(cnf_transformation,[status(thm)],[f2324]) ).
fof(f7361,plain,
cell71 != cell100,
inference(cnf_transformation,[status(thm)],[f2396]) ).
fof(f7432,plain,
cell72 != cell100,
inference(cnf_transformation,[status(thm)],[f2467]) ).
fof(f7502,plain,
cell70 != cell100,
inference(cnf_transformation,[status(thm)],[f2537]) ).
fof(f7571,plain,
cell69 != cell100,
inference(cnf_transformation,[status(thm)],[f2606]) ).
fof(f7639,plain,
cell68 != cell100,
inference(cnf_transformation,[status(thm)],[f2674]) ).
fof(f7706,plain,
cell67 != cell100,
inference(cnf_transformation,[status(thm)],[f2741]) ).
fof(f7772,plain,
cell66 != cell100,
inference(cnf_transformation,[status(thm)],[f2807]) ).
fof(f7837,plain,
cell65 != cell100,
inference(cnf_transformation,[status(thm)],[f2872]) ).
fof(f7901,plain,
cell64 != cell100,
inference(cnf_transformation,[status(thm)],[f2936]) ).
fof(f7964,plain,
cell63 != cell100,
inference(cnf_transformation,[status(thm)],[f2999]) ).
fof(f8026,plain,
cell61 != cell100,
inference(cnf_transformation,[status(thm)],[f3061]) ).
fof(f8087,plain,
cell62 != cell100,
inference(cnf_transformation,[status(thm)],[f3122]) ).
fof(f8147,plain,
cell60 != cell100,
inference(cnf_transformation,[status(thm)],[f3182]) ).
fof(f8206,plain,
cell59 != cell100,
inference(cnf_transformation,[status(thm)],[f3241]) ).
fof(f8264,plain,
cell58 != cell100,
inference(cnf_transformation,[status(thm)],[f3299]) ).
fof(f8321,plain,
cell57 != cell100,
inference(cnf_transformation,[status(thm)],[f3356]) ).
fof(f8377,plain,
cell56 != cell100,
inference(cnf_transformation,[status(thm)],[f3412]) ).
fof(f8432,plain,
cell55 != cell100,
inference(cnf_transformation,[status(thm)],[f3467]) ).
fof(f8486,plain,
cell54 != cell100,
inference(cnf_transformation,[status(thm)],[f3521]) ).
fof(f8539,plain,
cell53 != cell100,
inference(cnf_transformation,[status(thm)],[f3574]) ).
fof(f8591,plain,
cell51 != cell100,
inference(cnf_transformation,[status(thm)],[f3626]) ).
fof(f8642,plain,
cell52 != cell100,
inference(cnf_transformation,[status(thm)],[f3677]) ).
fof(f8692,plain,
cell50 != cell100,
inference(cnf_transformation,[status(thm)],[f3727]) ).
fof(f8741,plain,
cell49 != cell100,
inference(cnf_transformation,[status(thm)],[f3776]) ).
fof(f8789,plain,
cell48 != cell100,
inference(cnf_transformation,[status(thm)],[f3824]) ).
fof(f8836,plain,
cell47 != cell100,
inference(cnf_transformation,[status(thm)],[f3871]) ).
fof(f8882,plain,
cell46 != cell100,
inference(cnf_transformation,[status(thm)],[f3917]) ).
fof(f8927,plain,
cell45 != cell100,
inference(cnf_transformation,[status(thm)],[f3962]) ).
fof(f8971,plain,
cell44 != cell100,
inference(cnf_transformation,[status(thm)],[f4006]) ).
fof(f9014,plain,
cell43 != cell100,
inference(cnf_transformation,[status(thm)],[f4049]) ).
fof(f9056,plain,
cell41 != cell100,
inference(cnf_transformation,[status(thm)],[f4091]) ).
fof(f9097,plain,
cell42 != cell100,
inference(cnf_transformation,[status(thm)],[f4132]) ).
fof(f9137,plain,
cell40 != cell100,
inference(cnf_transformation,[status(thm)],[f4172]) ).
fof(f9176,plain,
cell39 != cell100,
inference(cnf_transformation,[status(thm)],[f4211]) ).
fof(f9214,plain,
cell38 != cell100,
inference(cnf_transformation,[status(thm)],[f4249]) ).
fof(f9251,plain,
cell37 != cell100,
inference(cnf_transformation,[status(thm)],[f4286]) ).
fof(f9287,plain,
cell36 != cell100,
inference(cnf_transformation,[status(thm)],[f4322]) ).
fof(f9322,plain,
cell35 != cell100,
inference(cnf_transformation,[status(thm)],[f4357]) ).
fof(f9356,plain,
cell34 != cell100,
inference(cnf_transformation,[status(thm)],[f4391]) ).
fof(f9389,plain,
cell33 != cell100,
inference(cnf_transformation,[status(thm)],[f4424]) ).
fof(f9421,plain,
cell31 != cell100,
inference(cnf_transformation,[status(thm)],[f4456]) ).
fof(f9452,plain,
cell32 != cell100,
inference(cnf_transformation,[status(thm)],[f4487]) ).
fof(f9482,plain,
cell30 != cell100,
inference(cnf_transformation,[status(thm)],[f4517]) ).
fof(f9511,plain,
cell29 != cell100,
inference(cnf_transformation,[status(thm)],[f4546]) ).
fof(f9539,plain,
cell28 != cell100,
inference(cnf_transformation,[status(thm)],[f4574]) ).
fof(f9566,plain,
cell27 != cell100,
inference(cnf_transformation,[status(thm)],[f4601]) ).
fof(f9592,plain,
cell26 != cell100,
inference(cnf_transformation,[status(thm)],[f4627]) ).
fof(f9617,plain,
cell25 != cell100,
inference(cnf_transformation,[status(thm)],[f4652]) ).
fof(f9641,plain,
cell24 != cell100,
inference(cnf_transformation,[status(thm)],[f4676]) ).
fof(f9664,plain,
cell23 != cell100,
inference(cnf_transformation,[status(thm)],[f4699]) ).
fof(f9686,plain,
cell21 != cell100,
inference(cnf_transformation,[status(thm)],[f4721]) ).
fof(f9707,plain,
cell22 != cell100,
inference(cnf_transformation,[status(thm)],[f4742]) ).
fof(f9727,plain,
cell20 != cell100,
inference(cnf_transformation,[status(thm)],[f4762]) ).
fof(f9746,plain,
cell19 != cell100,
inference(cnf_transformation,[status(thm)],[f4781]) ).
fof(f9764,plain,
cell18 != cell100,
inference(cnf_transformation,[status(thm)],[f4799]) ).
fof(f9781,plain,
cell17 != cell100,
inference(cnf_transformation,[status(thm)],[f4816]) ).
fof(f9797,plain,
cell16 != cell100,
inference(cnf_transformation,[status(thm)],[f4832]) ).
fof(f9812,plain,
cell15 != cell100,
inference(cnf_transformation,[status(thm)],[f4847]) ).
fof(f9826,plain,
cell14 != cell100,
inference(cnf_transformation,[status(thm)],[f4861]) ).
fof(f9839,plain,
cell13 != cell100,
inference(cnf_transformation,[status(thm)],[f4874]) ).
fof(f9851,plain,
cell11 != cell100,
inference(cnf_transformation,[status(thm)],[f4886]) ).
fof(f9862,plain,
cell12 != cell100,
inference(cnf_transformation,[status(thm)],[f4897]) ).
fof(f9872,plain,
cell10 != cell100,
inference(cnf_transformation,[status(thm)],[f4907]) ).
fof(f9881,plain,
cell9 != cell100,
inference(cnf_transformation,[status(thm)],[f4916]) ).
fof(f9889,plain,
cell8 != cell100,
inference(cnf_transformation,[status(thm)],[f4924]) ).
fof(f9896,plain,
cell7 != cell100,
inference(cnf_transformation,[status(thm)],[f4931]) ).
fof(f9902,plain,
cell6 != cell100,
inference(cnf_transformation,[status(thm)],[f4937]) ).
fof(f9907,plain,
cell5 != cell100,
inference(cnf_transformation,[status(thm)],[f4942]) ).
fof(f9911,plain,
cell4 != cell100,
inference(cnf_transformation,[status(thm)],[f4946]) ).
fof(f9914,plain,
cell3 != cell100,
inference(cnf_transformation,[status(thm)],[f4949]) ).
fof(f9916,plain,
cell2 != cell100,
inference(cnf_transformation,[status(thm)],[f4951]) ).
fof(f9917,plain,
cell1 != cell100,
inference(cnf_transformation,[status(thm)],[f4952]) ).
fof(f9918,plain,
adj(cell1,cell100),
inference(cnf_transformation,[status(thm)],[f4954]) ).
fof(f9919,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(f9920,plain,
! [TLH24985,TLH24986] :
( sP0_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell89 )
| sP1_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f4955,f9919]) ).
fof(f9921,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)],[f9920]) ).
fof(f9922,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)],[f9921]) ).
fof(f9923,plain,
! [X0,X1] :
( X0 = cell89
| sP1_prd(X0,X1)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9922]) ).
fof(f9924,plain,
! [X0,X1] :
( X1 = cell99
| sP1_prd(X0,X1)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9922]) ).
fof(f9927,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(f9928,plain,
! [TLH24985,TLH24986] :
( sP1_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell88 )
| sP2_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9919,f9927]) ).
fof(f9929,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)],[f9928]) ).
fof(f9930,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)],[f9929]) ).
fof(f9931,plain,
! [X0,X1] :
( X0 = cell88
| sP2_prd(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9930]) ).
fof(f9932,plain,
! [X0,X1] :
( X1 = cell98
| sP2_prd(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9930]) ).
fof(f9935,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(f9936,plain,
! [TLH24985,TLH24986] :
( sP2_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell87 )
| sP3_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9927,f9935]) ).
fof(f9937,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)],[f9936]) ).
fof(f9938,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)],[f9937]) ).
fof(f9939,plain,
! [X0,X1] :
( X0 = cell87
| sP3_prd(X0,X1)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9938]) ).
fof(f9940,plain,
! [X0,X1] :
( X1 = cell97
| sP3_prd(X0,X1)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9938]) ).
fof(f9943,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(f9944,plain,
! [TLH24985,TLH24986] :
( sP3_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell86 )
| sP4_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9935,f9943]) ).
fof(f9945,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)],[f9944]) ).
fof(f9946,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)],[f9945]) ).
fof(f9947,plain,
! [X0,X1] :
( X0 = cell86
| sP4_prd(X0,X1)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9946]) ).
fof(f9948,plain,
! [X0,X1] :
( X1 = cell96
| sP4_prd(X0,X1)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9946]) ).
fof(f9951,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(f9952,plain,
! [TLH24985,TLH24986] :
( sP4_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell85 )
| sP5_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9943,f9951]) ).
fof(f9953,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)],[f9952]) ).
fof(f9954,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)],[f9953]) ).
fof(f9955,plain,
! [X0,X1] :
( X0 = cell85
| sP5_prd(X0,X1)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9954]) ).
fof(f9956,plain,
! [X0,X1] :
( X1 = cell95
| sP5_prd(X0,X1)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9954]) ).
fof(f9959,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(f9960,plain,
! [TLH24985,TLH24986] :
( sP5_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell84 )
| sP6_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9951,f9959]) ).
fof(f9961,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)],[f9960]) ).
fof(f9962,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)],[f9961]) ).
fof(f9963,plain,
! [X0,X1] :
( X0 = cell84
| sP6_prd(X0,X1)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9962]) ).
fof(f9964,plain,
! [X0,X1] :
( X1 = cell94
| sP6_prd(X0,X1)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9962]) ).
fof(f9967,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(f9968,plain,
! [TLH24985,TLH24986] :
( sP6_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell83 )
| sP7_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9959,f9967]) ).
fof(f9969,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)],[f9968]) ).
fof(f9970,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)],[f9969]) ).
fof(f9971,plain,
! [X0,X1] :
( X0 = cell83
| sP7_prd(X0,X1)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9970]) ).
fof(f9972,plain,
! [X0,X1] :
( X1 = cell93
| sP7_prd(X0,X1)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9970]) ).
fof(f9975,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(f9976,plain,
! [TLH24985,TLH24986] :
( sP7_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell82 )
| sP8_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9967,f9975]) ).
fof(f9977,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)],[f9976]) ).
fof(f9978,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)],[f9977]) ).
fof(f9979,plain,
! [X0,X1] :
( X0 = cell82
| sP8_prd(X0,X1)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9978]) ).
fof(f9980,plain,
! [X0,X1] :
( X1 = cell92
| sP8_prd(X0,X1)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9978]) ).
fof(f9983,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(f9984,plain,
! [TLH24985,TLH24986] :
( sP8_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell91
& TLH24986 = cell81 )
| sP9_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9975,f9983]) ).
fof(f9985,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)],[f9984]) ).
fof(f9986,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)],[f9985]) ).
fof(f9987,plain,
! [X0,X1] :
( X0 = cell81
| sP9_prd(X0,X1)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9986]) ).
fof(f9988,plain,
! [X0,X1] :
( X1 = cell91
| sP9_prd(X0,X1)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9986]) ).
fof(f9991,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(f9992,plain,
! [TLH24985,TLH24986] :
( sP9_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell80 )
| sP10_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9983,f9991]) ).
fof(f9993,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)],[f9992]) ).
fof(f9994,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)],[f9993]) ).
fof(f9995,plain,
! [X0,X1] :
( X0 = cell80
| sP10_prd(X0,X1)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9994]) ).
fof(f9996,plain,
! [X0,X1] :
( X1 = cell90
| sP10_prd(X0,X1)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9994]) ).
fof(f9999,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(f10000,plain,
! [TLH24985,TLH24986] :
( sP10_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell79 )
| sP11_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9991,f9999]) ).
fof(f10001,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)],[f10000]) ).
fof(f10002,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)],[f10001]) ).
fof(f10003,plain,
! [X0,X1] :
( X0 = cell79
| sP11_prd(X0,X1)
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10002]) ).
fof(f10004,plain,
! [X0,X1] :
( X1 = cell89
| sP11_prd(X0,X1)
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10002]) ).
fof(f10007,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(f10008,plain,
! [TLH24985,TLH24986] :
( sP11_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell78 )
| sP12_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f9999,f10007]) ).
fof(f10009,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)],[f10008]) ).
fof(f10010,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)],[f10009]) ).
fof(f10011,plain,
! [X0,X1] :
( X0 = cell78
| sP12_prd(X0,X1)
| ~ sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10010]) ).
fof(f10012,plain,
! [X0,X1] :
( X1 = cell88
| sP12_prd(X0,X1)
| ~ sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10010]) ).
fof(f10015,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(f10016,plain,
! [TLH24985,TLH24986] :
( sP12_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell77 )
| sP13_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10007,f10015]) ).
fof(f10017,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)],[f10016]) ).
fof(f10018,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)],[f10017]) ).
fof(f10019,plain,
! [X0,X1] :
( X0 = cell77
| sP13_prd(X0,X1)
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10018]) ).
fof(f10020,plain,
! [X0,X1] :
( X1 = cell87
| sP13_prd(X0,X1)
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10018]) ).
fof(f10023,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(f10024,plain,
! [TLH24985,TLH24986] :
( sP13_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell76 )
| sP14_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10015,f10023]) ).
fof(f10025,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)],[f10024]) ).
fof(f10026,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)],[f10025]) ).
fof(f10027,plain,
! [X0,X1] :
( X0 = cell76
| sP14_prd(X0,X1)
| ~ sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10026]) ).
fof(f10028,plain,
! [X0,X1] :
( X1 = cell86
| sP14_prd(X0,X1)
| ~ sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10026]) ).
fof(f10031,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(f10032,plain,
! [TLH24985,TLH24986] :
( sP14_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell75 )
| sP15_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10023,f10031]) ).
fof(f10033,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)],[f10032]) ).
fof(f10034,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)],[f10033]) ).
fof(f10035,plain,
! [X0,X1] :
( X0 = cell75
| sP15_prd(X0,X1)
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10034]) ).
fof(f10036,plain,
! [X0,X1] :
( X1 = cell85
| sP15_prd(X0,X1)
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10034]) ).
fof(f10039,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(f10040,plain,
! [TLH24985,TLH24986] :
( sP15_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell74 )
| sP16_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10031,f10039]) ).
fof(f10041,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)],[f10040]) ).
fof(f10042,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)],[f10041]) ).
fof(f10043,plain,
! [X0,X1] :
( X0 = cell74
| sP16_prd(X0,X1)
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10042]) ).
fof(f10044,plain,
! [X0,X1] :
( X1 = cell84
| sP16_prd(X0,X1)
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10042]) ).
fof(f10047,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(f10048,plain,
! [TLH24985,TLH24986] :
( sP16_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell73 )
| sP17_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10039,f10047]) ).
fof(f10049,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)],[f10048]) ).
fof(f10050,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)],[f10049]) ).
fof(f10051,plain,
! [X0,X1] :
( X0 = cell73
| sP17_prd(X0,X1)
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10050]) ).
fof(f10052,plain,
! [X0,X1] :
( X1 = cell83
| sP17_prd(X0,X1)
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10050]) ).
fof(f10055,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(f10056,plain,
! [TLH24985,TLH24986] :
( sP17_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell72 )
| sP18_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10047,f10055]) ).
fof(f10057,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)],[f10056]) ).
fof(f10058,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)],[f10057]) ).
fof(f10059,plain,
! [X0,X1] :
( X0 = cell72
| sP18_prd(X0,X1)
| ~ sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10058]) ).
fof(f10060,plain,
! [X0,X1] :
( X1 = cell82
| sP18_prd(X0,X1)
| ~ sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10058]) ).
fof(f10063,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(f10064,plain,
! [TLH24985,TLH24986] :
( sP18_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell81
& TLH24986 = cell71 )
| sP19_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10055,f10063]) ).
fof(f10065,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)],[f10064]) ).
fof(f10066,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)],[f10065]) ).
fof(f10067,plain,
! [X0,X1] :
( X0 = cell71
| sP19_prd(X0,X1)
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10066]) ).
fof(f10068,plain,
! [X0,X1] :
( X1 = cell81
| sP19_prd(X0,X1)
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10066]) ).
fof(f10071,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(f10072,plain,
! [TLH24985,TLH24986] :
( sP19_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell70 )
| sP20_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10063,f10071]) ).
fof(f10073,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)],[f10072]) ).
fof(f10074,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)],[f10073]) ).
fof(f10075,plain,
! [X0,X1] :
( X0 = cell70
| sP20_prd(X0,X1)
| ~ sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10074]) ).
fof(f10076,plain,
! [X0,X1] :
( X1 = cell80
| sP20_prd(X0,X1)
| ~ sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10074]) ).
fof(f10079,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(f10080,plain,
! [TLH24985,TLH24986] :
( sP20_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell69 )
| sP21_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10071,f10079]) ).
fof(f10081,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)],[f10080]) ).
fof(f10082,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)],[f10081]) ).
fof(f10083,plain,
! [X0,X1] :
( X0 = cell69
| sP21_prd(X0,X1)
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10082]) ).
fof(f10084,plain,
! [X0,X1] :
( X1 = cell79
| sP21_prd(X0,X1)
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10082]) ).
fof(f10087,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(f10088,plain,
! [TLH24985,TLH24986] :
( sP21_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell68 )
| sP22_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10079,f10087]) ).
fof(f10089,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)],[f10088]) ).
fof(f10090,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)],[f10089]) ).
fof(f10091,plain,
! [X0,X1] :
( X0 = cell68
| sP22_prd(X0,X1)
| ~ sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10090]) ).
fof(f10092,plain,
! [X0,X1] :
( X1 = cell78
| sP22_prd(X0,X1)
| ~ sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10090]) ).
fof(f10095,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(f10096,plain,
! [TLH24985,TLH24986] :
( sP22_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell67 )
| sP23_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10087,f10095]) ).
fof(f10097,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)],[f10096]) ).
fof(f10098,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)],[f10097]) ).
fof(f10099,plain,
! [X0,X1] :
( X0 = cell67
| sP23_prd(X0,X1)
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10098]) ).
fof(f10100,plain,
! [X0,X1] :
( X1 = cell77
| sP23_prd(X0,X1)
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10098]) ).
fof(f10103,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(f10104,plain,
! [TLH24985,TLH24986] :
( sP23_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell66 )
| sP24_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10095,f10103]) ).
fof(f10105,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)],[f10104]) ).
fof(f10106,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)],[f10105]) ).
fof(f10107,plain,
! [X0,X1] :
( X0 = cell66
| sP24_prd(X0,X1)
| ~ sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10106]) ).
fof(f10108,plain,
! [X0,X1] :
( X1 = cell76
| sP24_prd(X0,X1)
| ~ sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10106]) ).
fof(f10111,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(f10112,plain,
! [TLH24985,TLH24986] :
( sP24_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell65 )
| sP25_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10103,f10111]) ).
fof(f10113,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)],[f10112]) ).
fof(f10114,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)],[f10113]) ).
fof(f10115,plain,
! [X0,X1] :
( X0 = cell65
| sP25_prd(X0,X1)
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10114]) ).
fof(f10116,plain,
! [X0,X1] :
( X1 = cell75
| sP25_prd(X0,X1)
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10114]) ).
fof(f10119,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(f10120,plain,
! [TLH24985,TLH24986] :
( sP25_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell64 )
| sP26_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10111,f10119]) ).
fof(f10121,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)],[f10120]) ).
fof(f10122,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)],[f10121]) ).
fof(f10123,plain,
! [X0,X1] :
( X0 = cell64
| sP26_prd(X0,X1)
| ~ sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10122]) ).
fof(f10124,plain,
! [X0,X1] :
( X1 = cell74
| sP26_prd(X0,X1)
| ~ sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10122]) ).
fof(f10127,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(f10128,plain,
! [TLH24985,TLH24986] :
( sP26_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell63 )
| sP27_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10119,f10127]) ).
fof(f10129,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)],[f10128]) ).
fof(f10130,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)],[f10129]) ).
fof(f10131,plain,
! [X0,X1] :
( X0 = cell63
| sP27_prd(X0,X1)
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10130]) ).
fof(f10132,plain,
! [X0,X1] :
( X1 = cell73
| sP27_prd(X0,X1)
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10130]) ).
fof(f10135,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(f10136,plain,
! [TLH24985,TLH24986] :
( sP27_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell62 )
| sP28_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10127,f10135]) ).
fof(f10137,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)],[f10136]) ).
fof(f10138,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)],[f10137]) ).
fof(f10139,plain,
! [X0,X1] :
( X0 = cell62
| sP28_prd(X0,X1)
| ~ sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10138]) ).
fof(f10140,plain,
! [X0,X1] :
( X1 = cell72
| sP28_prd(X0,X1)
| ~ sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10138]) ).
fof(f10143,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(f10144,plain,
! [TLH24985,TLH24986] :
( sP28_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell71
& TLH24986 = cell61 )
| sP29_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10135,f10143]) ).
fof(f10145,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)],[f10144]) ).
fof(f10146,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)],[f10145]) ).
fof(f10147,plain,
! [X0,X1] :
( X0 = cell61
| sP29_prd(X0,X1)
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10146]) ).
fof(f10148,plain,
! [X0,X1] :
( X1 = cell71
| sP29_prd(X0,X1)
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10146]) ).
fof(f10151,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(f10152,plain,
! [TLH24985,TLH24986] :
( sP29_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell60 )
| sP30_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10143,f10151]) ).
fof(f10153,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)],[f10152]) ).
fof(f10154,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)],[f10153]) ).
fof(f10155,plain,
! [X0,X1] :
( X0 = cell60
| sP30_prd(X0,X1)
| ~ sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10154]) ).
fof(f10156,plain,
! [X0,X1] :
( X1 = cell70
| sP30_prd(X0,X1)
| ~ sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10154]) ).
fof(f10159,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(f10160,plain,
! [TLH24985,TLH24986] :
( sP30_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell59 )
| sP31_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10151,f10159]) ).
fof(f10161,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)],[f10160]) ).
fof(f10162,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)],[f10161]) ).
fof(f10163,plain,
! [X0,X1] :
( X0 = cell59
| sP31_prd(X0,X1)
| ~ sP30_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10162]) ).
fof(f10164,plain,
! [X0,X1] :
( X1 = cell69
| sP31_prd(X0,X1)
| ~ sP30_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10162]) ).
fof(f10167,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(f10168,plain,
! [TLH24985,TLH24986] :
( sP31_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell58 )
| sP32_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10159,f10167]) ).
fof(f10169,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)],[f10168]) ).
fof(f10170,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)],[f10169]) ).
fof(f10171,plain,
! [X0,X1] :
( X0 = cell58
| sP32_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10170]) ).
fof(f10172,plain,
! [X0,X1] :
( X1 = cell68
| sP32_prd(X0,X1)
| ~ sP31_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10170]) ).
fof(f10175,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(f10176,plain,
! [TLH24985,TLH24986] :
( sP32_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell57 )
| sP33_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10167,f10175]) ).
fof(f10177,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)],[f10176]) ).
fof(f10178,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)],[f10177]) ).
fof(f10179,plain,
! [X0,X1] :
( X0 = cell57
| sP33_prd(X0,X1)
| ~ sP32_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10178]) ).
fof(f10180,plain,
! [X0,X1] :
( X1 = cell67
| sP33_prd(X0,X1)
| ~ sP32_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10178]) ).
fof(f10183,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(f10184,plain,
! [TLH24985,TLH24986] :
( sP33_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell56 )
| sP34_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10175,f10183]) ).
fof(f10185,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)],[f10184]) ).
fof(f10186,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)],[f10185]) ).
fof(f10187,plain,
! [X0,X1] :
( X0 = cell56
| sP34_prd(X0,X1)
| ~ sP33_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10186]) ).
fof(f10188,plain,
! [X0,X1] :
( X1 = cell66
| sP34_prd(X0,X1)
| ~ sP33_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10186]) ).
fof(f10191,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(f10192,plain,
! [TLH24985,TLH24986] :
( sP34_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell55 )
| sP35_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10183,f10191]) ).
fof(f10193,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)],[f10192]) ).
fof(f10194,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)],[f10193]) ).
fof(f10195,plain,
! [X0,X1] :
( X0 = cell55
| sP35_prd(X0,X1)
| ~ sP34_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10194]) ).
fof(f10196,plain,
! [X0,X1] :
( X1 = cell65
| sP35_prd(X0,X1)
| ~ sP34_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10194]) ).
fof(f10199,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(f10200,plain,
! [TLH24985,TLH24986] :
( sP35_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell54 )
| sP36_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10191,f10199]) ).
fof(f10201,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)],[f10200]) ).
fof(f10202,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)],[f10201]) ).
fof(f10203,plain,
! [X0,X1] :
( X0 = cell54
| sP36_prd(X0,X1)
| ~ sP35_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10202]) ).
fof(f10204,plain,
! [X0,X1] :
( X1 = cell64
| sP36_prd(X0,X1)
| ~ sP35_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10202]) ).
fof(f10207,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(f10208,plain,
! [TLH24985,TLH24986] :
( sP36_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell53 )
| sP37_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10199,f10207]) ).
fof(f10209,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)],[f10208]) ).
fof(f10210,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)],[f10209]) ).
fof(f10211,plain,
! [X0,X1] :
( X0 = cell53
| sP37_prd(X0,X1)
| ~ sP36_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10210]) ).
fof(f10212,plain,
! [X0,X1] :
( X1 = cell63
| sP37_prd(X0,X1)
| ~ sP36_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10210]) ).
fof(f10215,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(f10216,plain,
! [TLH24985,TLH24986] :
( sP37_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell52 )
| sP38_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10207,f10215]) ).
fof(f10217,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)],[f10216]) ).
fof(f10218,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)],[f10217]) ).
fof(f10219,plain,
! [X0,X1] :
( X0 = cell52
| sP38_prd(X0,X1)
| ~ sP37_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10218]) ).
fof(f10220,plain,
! [X0,X1] :
( X1 = cell62
| sP38_prd(X0,X1)
| ~ sP37_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10218]) ).
fof(f10223,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(f10224,plain,
! [TLH24985,TLH24986] :
( sP38_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell61
& TLH24986 = cell51 )
| sP39_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10215,f10223]) ).
fof(f10225,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)],[f10224]) ).
fof(f10226,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)],[f10225]) ).
fof(f10227,plain,
! [X0,X1] :
( X0 = cell51
| sP39_prd(X0,X1)
| ~ sP38_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10226]) ).
fof(f10228,plain,
! [X0,X1] :
( X1 = cell61
| sP39_prd(X0,X1)
| ~ sP38_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10226]) ).
fof(f10231,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(f10232,plain,
! [TLH24985,TLH24986] :
( sP39_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell50 )
| sP40_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10223,f10231]) ).
fof(f10233,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)],[f10232]) ).
fof(f10234,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)],[f10233]) ).
fof(f10235,plain,
! [X0,X1] :
( X0 = cell50
| sP40_prd(X0,X1)
| ~ sP39_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10234]) ).
fof(f10236,plain,
! [X0,X1] :
( X1 = cell60
| sP40_prd(X0,X1)
| ~ sP39_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10234]) ).
fof(f10239,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(f10240,plain,
! [TLH24985,TLH24986] :
( sP40_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell49 )
| sP41_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10231,f10239]) ).
fof(f10241,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)],[f10240]) ).
fof(f10242,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)],[f10241]) ).
fof(f10243,plain,
! [X0,X1] :
( X0 = cell49
| sP41_prd(X0,X1)
| ~ sP40_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10242]) ).
fof(f10244,plain,
! [X0,X1] :
( X1 = cell59
| sP41_prd(X0,X1)
| ~ sP40_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10242]) ).
fof(f10247,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(f10248,plain,
! [TLH24985,TLH24986] :
( sP41_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell48 )
| sP42_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10239,f10247]) ).
fof(f10249,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)],[f10248]) ).
fof(f10250,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)],[f10249]) ).
fof(f10251,plain,
! [X0,X1] :
( X0 = cell48
| sP42_prd(X0,X1)
| ~ sP41_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10250]) ).
fof(f10252,plain,
! [X0,X1] :
( X1 = cell58
| sP42_prd(X0,X1)
| ~ sP41_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10250]) ).
fof(f10255,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(f10256,plain,
! [TLH24985,TLH24986] :
( sP42_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell47 )
| sP43_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10247,f10255]) ).
fof(f10257,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)],[f10256]) ).
fof(f10258,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)],[f10257]) ).
fof(f10259,plain,
! [X0,X1] :
( X0 = cell47
| sP43_prd(X0,X1)
| ~ sP42_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10258]) ).
fof(f10260,plain,
! [X0,X1] :
( X1 = cell57
| sP43_prd(X0,X1)
| ~ sP42_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10258]) ).
fof(f10263,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(f10264,plain,
! [TLH24985,TLH24986] :
( sP43_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell46 )
| sP44_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10255,f10263]) ).
fof(f10265,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)],[f10264]) ).
fof(f10266,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)],[f10265]) ).
fof(f10267,plain,
! [X0,X1] :
( X0 = cell46
| sP44_prd(X0,X1)
| ~ sP43_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10266]) ).
fof(f10268,plain,
! [X0,X1] :
( X1 = cell56
| sP44_prd(X0,X1)
| ~ sP43_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10266]) ).
fof(f10271,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(f10272,plain,
! [TLH24985,TLH24986] :
( sP44_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell45 )
| sP45_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10263,f10271]) ).
fof(f10273,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)],[f10272]) ).
fof(f10274,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)],[f10273]) ).
fof(f10275,plain,
! [X0,X1] :
( X0 = cell45
| sP45_prd(X0,X1)
| ~ sP44_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10274]) ).
fof(f10276,plain,
! [X0,X1] :
( X1 = cell55
| sP45_prd(X0,X1)
| ~ sP44_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10274]) ).
fof(f10279,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(f10280,plain,
! [TLH24985,TLH24986] :
( sP45_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell44 )
| sP46_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10271,f10279]) ).
fof(f10281,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)],[f10280]) ).
fof(f10282,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)],[f10281]) ).
fof(f10283,plain,
! [X0,X1] :
( X0 = cell44
| sP46_prd(X0,X1)
| ~ sP45_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10282]) ).
fof(f10284,plain,
! [X0,X1] :
( X1 = cell54
| sP46_prd(X0,X1)
| ~ sP45_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10282]) ).
fof(f10287,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(f10288,plain,
! [TLH24985,TLH24986] :
( sP46_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell43 )
| sP47_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10279,f10287]) ).
fof(f10289,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)],[f10288]) ).
fof(f10290,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)],[f10289]) ).
fof(f10291,plain,
! [X0,X1] :
( X0 = cell43
| sP47_prd(X0,X1)
| ~ sP46_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10290]) ).
fof(f10292,plain,
! [X0,X1] :
( X1 = cell53
| sP47_prd(X0,X1)
| ~ sP46_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10290]) ).
fof(f10295,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(f10296,plain,
! [TLH24985,TLH24986] :
( sP47_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell42 )
| sP48_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10287,f10295]) ).
fof(f10297,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)],[f10296]) ).
fof(f10298,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)],[f10297]) ).
fof(f10299,plain,
! [X0,X1] :
( X0 = cell42
| sP48_prd(X0,X1)
| ~ sP47_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10298]) ).
fof(f10300,plain,
! [X0,X1] :
( X1 = cell52
| sP48_prd(X0,X1)
| ~ sP47_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10298]) ).
fof(f10303,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(f10304,plain,
! [TLH24985,TLH24986] :
( sP48_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell51
& TLH24986 = cell41 )
| sP49_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10295,f10303]) ).
fof(f10305,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)],[f10304]) ).
fof(f10306,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)],[f10305]) ).
fof(f10307,plain,
! [X0,X1] :
( X0 = cell41
| sP49_prd(X0,X1)
| ~ sP48_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10306]) ).
fof(f10308,plain,
! [X0,X1] :
( X1 = cell51
| sP49_prd(X0,X1)
| ~ sP48_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10306]) ).
fof(f10311,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(f10312,plain,
! [TLH24985,TLH24986] :
( sP49_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell40 )
| sP50_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10303,f10311]) ).
fof(f10313,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)],[f10312]) ).
fof(f10314,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)],[f10313]) ).
fof(f10315,plain,
! [X0,X1] :
( X0 = cell40
| sP50_prd(X0,X1)
| ~ sP49_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10314]) ).
fof(f10316,plain,
! [X0,X1] :
( X1 = cell50
| sP50_prd(X0,X1)
| ~ sP49_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10314]) ).
fof(f10319,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(f10320,plain,
! [TLH24985,TLH24986] :
( sP50_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell39 )
| sP51_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10311,f10319]) ).
fof(f10321,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)],[f10320]) ).
fof(f10322,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)],[f10321]) ).
fof(f10323,plain,
! [X0,X1] :
( X0 = cell39
| sP51_prd(X0,X1)
| ~ sP50_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10322]) ).
fof(f10324,plain,
! [X0,X1] :
( X1 = cell49
| sP51_prd(X0,X1)
| ~ sP50_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10322]) ).
fof(f10327,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(f10328,plain,
! [TLH24985,TLH24986] :
( sP51_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell38 )
| sP52_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10319,f10327]) ).
fof(f10329,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)],[f10328]) ).
fof(f10330,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)],[f10329]) ).
fof(f10331,plain,
! [X0,X1] :
( X0 = cell38
| sP52_prd(X0,X1)
| ~ sP51_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10330]) ).
fof(f10332,plain,
! [X0,X1] :
( X1 = cell48
| sP52_prd(X0,X1)
| ~ sP51_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10330]) ).
fof(f10335,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(f10336,plain,
! [TLH24985,TLH24986] :
( sP52_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell37 )
| sP53_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10327,f10335]) ).
fof(f10337,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)],[f10336]) ).
fof(f10338,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)],[f10337]) ).
fof(f10339,plain,
! [X0,X1] :
( X0 = cell37
| sP53_prd(X0,X1)
| ~ sP52_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10338]) ).
fof(f10340,plain,
! [X0,X1] :
( X1 = cell47
| sP53_prd(X0,X1)
| ~ sP52_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10338]) ).
fof(f10343,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(f10344,plain,
! [TLH24985,TLH24986] :
( sP53_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell36 )
| sP54_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10335,f10343]) ).
fof(f10345,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)],[f10344]) ).
fof(f10346,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)],[f10345]) ).
fof(f10347,plain,
! [X0,X1] :
( X0 = cell36
| sP54_prd(X0,X1)
| ~ sP53_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10346]) ).
fof(f10348,plain,
! [X0,X1] :
( X1 = cell46
| sP54_prd(X0,X1)
| ~ sP53_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10346]) ).
fof(f10351,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(f10352,plain,
! [TLH24985,TLH24986] :
( sP54_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell35 )
| sP55_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10343,f10351]) ).
fof(f10353,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)],[f10352]) ).
fof(f10354,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)],[f10353]) ).
fof(f10355,plain,
! [X0,X1] :
( X0 = cell35
| sP55_prd(X0,X1)
| ~ sP54_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10354]) ).
fof(f10356,plain,
! [X0,X1] :
( X1 = cell45
| sP55_prd(X0,X1)
| ~ sP54_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10354]) ).
fof(f10359,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(f10360,plain,
! [TLH24985,TLH24986] :
( sP55_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell34 )
| sP56_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10351,f10359]) ).
fof(f10361,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)],[f10360]) ).
fof(f10362,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)],[f10361]) ).
fof(f10363,plain,
! [X0,X1] :
( X0 = cell34
| sP56_prd(X0,X1)
| ~ sP55_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10362]) ).
fof(f10364,plain,
! [X0,X1] :
( X1 = cell44
| sP56_prd(X0,X1)
| ~ sP55_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10362]) ).
fof(f10367,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(f10368,plain,
! [TLH24985,TLH24986] :
( sP56_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell33 )
| sP57_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10359,f10367]) ).
fof(f10369,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)],[f10368]) ).
fof(f10370,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)],[f10369]) ).
fof(f10371,plain,
! [X0,X1] :
( X0 = cell33
| sP57_prd(X0,X1)
| ~ sP56_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10370]) ).
fof(f10372,plain,
! [X0,X1] :
( X1 = cell43
| sP57_prd(X0,X1)
| ~ sP56_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10370]) ).
fof(f10375,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(f10376,plain,
! [TLH24985,TLH24986] :
( sP57_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell32 )
| sP58_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10367,f10375]) ).
fof(f10377,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)],[f10376]) ).
fof(f10378,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)],[f10377]) ).
fof(f10379,plain,
! [X0,X1] :
( X0 = cell32
| sP58_prd(X0,X1)
| ~ sP57_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10378]) ).
fof(f10380,plain,
! [X0,X1] :
( X1 = cell42
| sP58_prd(X0,X1)
| ~ sP57_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10378]) ).
fof(f10383,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(f10384,plain,
! [TLH24985,TLH24986] :
( sP58_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell41
& TLH24986 = cell31 )
| sP59_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10375,f10383]) ).
fof(f10385,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)],[f10384]) ).
fof(f10386,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)],[f10385]) ).
fof(f10387,plain,
! [X0,X1] :
( X0 = cell31
| sP59_prd(X0,X1)
| ~ sP58_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10386]) ).
fof(f10388,plain,
! [X0,X1] :
( X1 = cell41
| sP59_prd(X0,X1)
| ~ sP58_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10386]) ).
fof(f10391,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(f10392,plain,
! [TLH24985,TLH24986] :
( sP59_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell30 )
| sP60_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10383,f10391]) ).
fof(f10393,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)],[f10392]) ).
fof(f10394,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)],[f10393]) ).
fof(f10395,plain,
! [X0,X1] :
( X0 = cell30
| sP60_prd(X0,X1)
| ~ sP59_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10394]) ).
fof(f10396,plain,
! [X0,X1] :
( X1 = cell40
| sP60_prd(X0,X1)
| ~ sP59_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10394]) ).
fof(f10399,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(f10400,plain,
! [TLH24985,TLH24986] :
( sP60_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell29 )
| sP61_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10391,f10399]) ).
fof(f10401,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)],[f10400]) ).
fof(f10402,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)],[f10401]) ).
fof(f10403,plain,
! [X0,X1] :
( X0 = cell29
| sP61_prd(X0,X1)
| ~ sP60_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10402]) ).
fof(f10404,plain,
! [X0,X1] :
( X1 = cell39
| sP61_prd(X0,X1)
| ~ sP60_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10402]) ).
fof(f10407,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(f10408,plain,
! [TLH24985,TLH24986] :
( sP61_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell28 )
| sP62_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10399,f10407]) ).
fof(f10409,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)],[f10408]) ).
fof(f10410,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)],[f10409]) ).
fof(f10411,plain,
! [X0,X1] :
( X0 = cell28
| sP62_prd(X0,X1)
| ~ sP61_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10410]) ).
fof(f10412,plain,
! [X0,X1] :
( X1 = cell38
| sP62_prd(X0,X1)
| ~ sP61_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10410]) ).
fof(f10415,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(f10416,plain,
! [TLH24985,TLH24986] :
( sP62_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell27 )
| sP63_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10407,f10415]) ).
fof(f10417,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)],[f10416]) ).
fof(f10418,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)],[f10417]) ).
fof(f10419,plain,
! [X0,X1] :
( X0 = cell27
| sP63_prd(X0,X1)
| ~ sP62_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10418]) ).
fof(f10420,plain,
! [X0,X1] :
( X1 = cell37
| sP63_prd(X0,X1)
| ~ sP62_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10418]) ).
fof(f10423,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(f10424,plain,
! [TLH24985,TLH24986] :
( sP63_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell26 )
| sP64_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10415,f10423]) ).
fof(f10425,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)],[f10424]) ).
fof(f10426,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)],[f10425]) ).
fof(f10427,plain,
! [X0,X1] :
( X0 = cell26
| sP64_prd(X0,X1)
| ~ sP63_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10426]) ).
fof(f10428,plain,
! [X0,X1] :
( X1 = cell36
| sP64_prd(X0,X1)
| ~ sP63_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10426]) ).
fof(f10431,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(f10432,plain,
! [TLH24985,TLH24986] :
( sP64_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell25 )
| sP65_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10423,f10431]) ).
fof(f10433,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)],[f10432]) ).
fof(f10434,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)],[f10433]) ).
fof(f10435,plain,
! [X0,X1] :
( X0 = cell25
| sP65_prd(X0,X1)
| ~ sP64_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10434]) ).
fof(f10436,plain,
! [X0,X1] :
( X1 = cell35
| sP65_prd(X0,X1)
| ~ sP64_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10434]) ).
fof(f10439,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(f10440,plain,
! [TLH24985,TLH24986] :
( sP65_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell24 )
| sP66_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10431,f10439]) ).
fof(f10441,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)],[f10440]) ).
fof(f10442,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)],[f10441]) ).
fof(f10443,plain,
! [X0,X1] :
( X0 = cell24
| sP66_prd(X0,X1)
| ~ sP65_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10442]) ).
fof(f10444,plain,
! [X0,X1] :
( X1 = cell34
| sP66_prd(X0,X1)
| ~ sP65_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10442]) ).
fof(f10447,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(f10448,plain,
! [TLH24985,TLH24986] :
( sP66_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell23 )
| sP67_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10439,f10447]) ).
fof(f10449,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)],[f10448]) ).
fof(f10450,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)],[f10449]) ).
fof(f10451,plain,
! [X0,X1] :
( X0 = cell23
| sP67_prd(X0,X1)
| ~ sP66_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10450]) ).
fof(f10452,plain,
! [X0,X1] :
( X1 = cell33
| sP67_prd(X0,X1)
| ~ sP66_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10450]) ).
fof(f10455,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(f10456,plain,
! [TLH24985,TLH24986] :
( sP67_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell22 )
| sP68_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10447,f10455]) ).
fof(f10457,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)],[f10456]) ).
fof(f10458,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)],[f10457]) ).
fof(f10459,plain,
! [X0,X1] :
( X0 = cell22
| sP68_prd(X0,X1)
| ~ sP67_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10458]) ).
fof(f10460,plain,
! [X0,X1] :
( X1 = cell32
| sP68_prd(X0,X1)
| ~ sP67_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10458]) ).
fof(f10463,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(f10464,plain,
! [TLH24985,TLH24986] :
( sP68_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell31
& TLH24986 = cell21 )
| sP69_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10455,f10463]) ).
fof(f10465,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)],[f10464]) ).
fof(f10466,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)],[f10465]) ).
fof(f10467,plain,
! [X0,X1] :
( X0 = cell21
| sP69_prd(X0,X1)
| ~ sP68_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10466]) ).
fof(f10468,plain,
! [X0,X1] :
( X1 = cell31
| sP69_prd(X0,X1)
| ~ sP68_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10466]) ).
fof(f10471,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(f10472,plain,
! [TLH24985,TLH24986] :
( sP69_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell20 )
| sP70_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10463,f10471]) ).
fof(f10473,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)],[f10472]) ).
fof(f10474,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)],[f10473]) ).
fof(f10475,plain,
! [X0,X1] :
( X0 = cell20
| sP70_prd(X0,X1)
| ~ sP69_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10474]) ).
fof(f10476,plain,
! [X0,X1] :
( X1 = cell30
| sP70_prd(X0,X1)
| ~ sP69_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10474]) ).
fof(f10479,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(f10480,plain,
! [TLH24985,TLH24986] :
( sP70_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell19 )
| sP71_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10471,f10479]) ).
fof(f10481,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)],[f10480]) ).
fof(f10482,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)],[f10481]) ).
fof(f10483,plain,
! [X0,X1] :
( X0 = cell19
| sP71_prd(X0,X1)
| ~ sP70_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10482]) ).
fof(f10484,plain,
! [X0,X1] :
( X1 = cell29
| sP71_prd(X0,X1)
| ~ sP70_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10482]) ).
fof(f10487,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(f10488,plain,
! [TLH24985,TLH24986] :
( sP71_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell18 )
| sP72_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10479,f10487]) ).
fof(f10489,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)],[f10488]) ).
fof(f10490,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)],[f10489]) ).
fof(f10491,plain,
! [X0,X1] :
( X0 = cell18
| sP72_prd(X0,X1)
| ~ sP71_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10490]) ).
fof(f10492,plain,
! [X0,X1] :
( X1 = cell28
| sP72_prd(X0,X1)
| ~ sP71_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10490]) ).
fof(f10495,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(f10496,plain,
! [TLH24985,TLH24986] :
( sP72_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell17 )
| sP73_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10487,f10495]) ).
fof(f10497,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)],[f10496]) ).
fof(f10498,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)],[f10497]) ).
fof(f10499,plain,
! [X0,X1] :
( X0 = cell17
| sP73_prd(X0,X1)
| ~ sP72_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10498]) ).
fof(f10500,plain,
! [X0,X1] :
( X1 = cell27
| sP73_prd(X0,X1)
| ~ sP72_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10498]) ).
fof(f10503,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(f10504,plain,
! [TLH24985,TLH24986] :
( sP73_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell16 )
| sP74_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10495,f10503]) ).
fof(f10505,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)],[f10504]) ).
fof(f10506,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)],[f10505]) ).
fof(f10507,plain,
! [X0,X1] :
( X0 = cell16
| sP74_prd(X0,X1)
| ~ sP73_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10506]) ).
fof(f10508,plain,
! [X0,X1] :
( X1 = cell26
| sP74_prd(X0,X1)
| ~ sP73_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10506]) ).
fof(f10511,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(f10512,plain,
! [TLH24985,TLH24986] :
( sP74_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell15 )
| sP75_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10503,f10511]) ).
fof(f10513,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)],[f10512]) ).
fof(f10514,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)],[f10513]) ).
fof(f10515,plain,
! [X0,X1] :
( X0 = cell15
| sP75_prd(X0,X1)
| ~ sP74_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10514]) ).
fof(f10516,plain,
! [X0,X1] :
( X1 = cell25
| sP75_prd(X0,X1)
| ~ sP74_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10514]) ).
fof(f10519,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(f10520,plain,
! [TLH24985,TLH24986] :
( sP75_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell14 )
| sP76_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10511,f10519]) ).
fof(f10521,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)],[f10520]) ).
fof(f10522,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)],[f10521]) ).
fof(f10523,plain,
! [X0,X1] :
( X0 = cell14
| sP76_prd(X0,X1)
| ~ sP75_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10522]) ).
fof(f10524,plain,
! [X0,X1] :
( X1 = cell24
| sP76_prd(X0,X1)
| ~ sP75_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10522]) ).
fof(f10527,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(f10528,plain,
! [TLH24985,TLH24986] :
( sP76_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell13 )
| sP77_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10519,f10527]) ).
fof(f10529,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)],[f10528]) ).
fof(f10530,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)],[f10529]) ).
fof(f10531,plain,
! [X0,X1] :
( X0 = cell13
| sP77_prd(X0,X1)
| ~ sP76_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10530]) ).
fof(f10532,plain,
! [X0,X1] :
( X1 = cell23
| sP77_prd(X0,X1)
| ~ sP76_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10530]) ).
fof(f10535,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(f10536,plain,
! [TLH24985,TLH24986] :
( sP77_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell12 )
| sP78_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10527,f10535]) ).
fof(f10537,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)],[f10536]) ).
fof(f10538,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)],[f10537]) ).
fof(f10539,plain,
! [X0,X1] :
( X0 = cell12
| sP78_prd(X0,X1)
| ~ sP77_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10538]) ).
fof(f10540,plain,
! [X0,X1] :
( X1 = cell22
| sP78_prd(X0,X1)
| ~ sP77_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10538]) ).
fof(f10543,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(f10544,plain,
! [TLH24985,TLH24986] :
( sP78_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell21
& TLH24986 = cell11 )
| sP79_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10535,f10543]) ).
fof(f10545,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)],[f10544]) ).
fof(f10546,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)],[f10545]) ).
fof(f10547,plain,
! [X0,X1] :
( X0 = cell11
| sP79_prd(X0,X1)
| ~ sP78_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10546]) ).
fof(f10548,plain,
! [X0,X1] :
( X1 = cell21
| sP79_prd(X0,X1)
| ~ sP78_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10546]) ).
fof(f10551,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(f10552,plain,
! [TLH24985,TLH24986] :
( sP79_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell10 )
| sP80_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10543,f10551]) ).
fof(f10553,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)],[f10552]) ).
fof(f10554,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)],[f10553]) ).
fof(f10555,plain,
! [X0,X1] :
( X0 = cell10
| sP80_prd(X0,X1)
| ~ sP79_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10554]) ).
fof(f10556,plain,
! [X0,X1] :
( X1 = cell20
| sP80_prd(X0,X1)
| ~ sP79_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10554]) ).
fof(f10559,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(f10560,plain,
! [TLH24985,TLH24986] :
( sP80_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell9 )
| sP81_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10551,f10559]) ).
fof(f10561,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)],[f10560]) ).
fof(f10562,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)],[f10561]) ).
fof(f10563,plain,
! [X0,X1] :
( X0 = cell9
| sP81_prd(X0,X1)
| ~ sP80_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10562]) ).
fof(f10564,plain,
! [X0,X1] :
( X1 = cell19
| sP81_prd(X0,X1)
| ~ sP80_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10562]) ).
fof(f10567,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(f10568,plain,
! [TLH24985,TLH24986] :
( sP81_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell8 )
| sP82_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10559,f10567]) ).
fof(f10569,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)],[f10568]) ).
fof(f10570,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)],[f10569]) ).
fof(f10571,plain,
! [X0,X1] :
( X0 = cell8
| sP82_prd(X0,X1)
| ~ sP81_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10570]) ).
fof(f10572,plain,
! [X0,X1] :
( X1 = cell18
| sP82_prd(X0,X1)
| ~ sP81_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10570]) ).
fof(f10575,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(f10576,plain,
! [TLH24985,TLH24986] :
( sP82_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell7 )
| sP83_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10567,f10575]) ).
fof(f10577,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)],[f10576]) ).
fof(f10578,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)],[f10577]) ).
fof(f10579,plain,
! [X0,X1] :
( X0 = cell7
| sP83_prd(X0,X1)
| ~ sP82_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10578]) ).
fof(f10580,plain,
! [X0,X1] :
( X1 = cell17
| sP83_prd(X0,X1)
| ~ sP82_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10578]) ).
fof(f10583,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(f10584,plain,
! [TLH24985,TLH24986] :
( sP83_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell6 )
| sP84_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10575,f10583]) ).
fof(f10585,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)],[f10584]) ).
fof(f10586,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)],[f10585]) ).
fof(f10587,plain,
! [X0,X1] :
( X0 = cell6
| sP84_prd(X0,X1)
| ~ sP83_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10586]) ).
fof(f10588,plain,
! [X0,X1] :
( X1 = cell16
| sP84_prd(X0,X1)
| ~ sP83_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10586]) ).
fof(f10591,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(f10592,plain,
! [TLH24985,TLH24986] :
( sP84_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell5 )
| sP85_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10583,f10591]) ).
fof(f10593,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)],[f10592]) ).
fof(f10594,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)],[f10593]) ).
fof(f10595,plain,
! [X0,X1] :
( X0 = cell5
| sP85_prd(X0,X1)
| ~ sP84_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10594]) ).
fof(f10596,plain,
! [X0,X1] :
( X1 = cell15
| sP85_prd(X0,X1)
| ~ sP84_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10594]) ).
fof(f10599,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(f10600,plain,
! [TLH24985,TLH24986] :
( sP85_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell4 )
| sP86_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10591,f10599]) ).
fof(f10601,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)],[f10600]) ).
fof(f10602,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)],[f10601]) ).
fof(f10603,plain,
! [X0,X1] :
( X0 = cell4
| sP86_prd(X0,X1)
| ~ sP85_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10602]) ).
fof(f10604,plain,
! [X0,X1] :
( X1 = cell14
| sP86_prd(X0,X1)
| ~ sP85_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10602]) ).
fof(f10607,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(f10608,plain,
! [TLH24985,TLH24986] :
( sP86_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell3 )
| sP87_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10599,f10607]) ).
fof(f10609,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)],[f10608]) ).
fof(f10610,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)],[f10609]) ).
fof(f10611,plain,
! [X0,X1] :
( X0 = cell3
| sP87_prd(X0,X1)
| ~ sP86_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10610]) ).
fof(f10612,plain,
! [X0,X1] :
( X1 = cell13
| sP87_prd(X0,X1)
| ~ sP86_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10610]) ).
fof(f10615,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(f10616,plain,
! [TLH24985,TLH24986] :
( sP87_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell12
& TLH24986 = cell2 )
| sP88_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10607,f10615]) ).
fof(f10617,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)],[f10616]) ).
fof(f10618,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)],[f10617]) ).
fof(f10619,plain,
! [X0,X1] :
( X0 = cell2
| sP88_prd(X0,X1)
| ~ sP87_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10618]) ).
fof(f10620,plain,
! [X0,X1] :
( X1 = cell12
| sP88_prd(X0,X1)
| ~ sP87_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10618]) ).
fof(f10623,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(f10624,plain,
! [TLH24985,TLH24986] :
( sP88_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell11
& TLH24986 = cell1 )
| sP89_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10615,f10623]) ).
fof(f10625,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)],[f10624]) ).
fof(f10626,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)],[f10625]) ).
fof(f10627,plain,
! [X0,X1] :
( X0 = cell1
| sP89_prd(X0,X1)
| ~ sP88_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10626]) ).
fof(f10628,plain,
! [X0,X1] :
( X1 = cell11
| sP89_prd(X0,X1)
| ~ sP88_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10626]) ).
fof(f10631,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(f10632,plain,
! [TLH24985,TLH24986] :
( sP89_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell100
& TLH24986 = cell99 )
| sP90_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10623,f10631]) ).
fof(f10633,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)],[f10632]) ).
fof(f10634,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)],[f10633]) ).
fof(f10635,plain,
! [X0,X1] :
( X0 = cell99
| sP90_prd(X0,X1)
| ~ sP89_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10634]) ).
fof(f10639,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(f10640,plain,
! [TLH24985,TLH24986] :
( sP90_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell99
& TLH24986 = cell98 )
| sP91_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10631,f10639]) ).
fof(f10641,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)],[f10640]) ).
fof(f10642,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)],[f10641]) ).
fof(f10643,plain,
! [X0,X1] :
( X0 = cell98
| sP91_prd(X0,X1)
| ~ sP90_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10642]) ).
fof(f10644,plain,
! [X0,X1] :
( X1 = cell99
| sP91_prd(X0,X1)
| ~ sP90_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10642]) ).
fof(f10647,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(f10648,plain,
! [TLH24985,TLH24986] :
( sP91_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell98
& TLH24986 = cell97 )
| sP92_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10639,f10647]) ).
fof(f10649,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)],[f10648]) ).
fof(f10650,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)],[f10649]) ).
fof(f10651,plain,
! [X0,X1] :
( X0 = cell97
| sP92_prd(X0,X1)
| ~ sP91_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10650]) ).
fof(f10652,plain,
! [X0,X1] :
( X1 = cell98
| sP92_prd(X0,X1)
| ~ sP91_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10650]) ).
fof(f10655,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(f10656,plain,
! [TLH24985,TLH24986] :
( sP92_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell97
& TLH24986 = cell96 )
| sP93_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10647,f10655]) ).
fof(f10657,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)],[f10656]) ).
fof(f10658,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)],[f10657]) ).
fof(f10659,plain,
! [X0,X1] :
( X0 = cell96
| sP93_prd(X0,X1)
| ~ sP92_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10658]) ).
fof(f10660,plain,
! [X0,X1] :
( X1 = cell97
| sP93_prd(X0,X1)
| ~ sP92_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10658]) ).
fof(f10663,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(f10664,plain,
! [TLH24985,TLH24986] :
( sP93_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell96
& TLH24986 = cell95 )
| sP94_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10655,f10663]) ).
fof(f10665,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)],[f10664]) ).
fof(f10666,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)],[f10665]) ).
fof(f10667,plain,
! [X0,X1] :
( X0 = cell95
| sP94_prd(X0,X1)
| ~ sP93_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10666]) ).
fof(f10668,plain,
! [X0,X1] :
( X1 = cell96
| sP94_prd(X0,X1)
| ~ sP93_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10666]) ).
fof(f10671,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(f10672,plain,
! [TLH24985,TLH24986] :
( sP94_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell95
& TLH24986 = cell94 )
| sP95_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10663,f10671]) ).
fof(f10673,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)],[f10672]) ).
fof(f10674,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)],[f10673]) ).
fof(f10675,plain,
! [X0,X1] :
( X0 = cell94
| sP95_prd(X0,X1)
| ~ sP94_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10674]) ).
fof(f10676,plain,
! [X0,X1] :
( X1 = cell95
| sP95_prd(X0,X1)
| ~ sP94_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10674]) ).
fof(f10679,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(f10680,plain,
! [TLH24985,TLH24986] :
( sP95_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell94
& TLH24986 = cell93 )
| sP96_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10671,f10679]) ).
fof(f10681,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)],[f10680]) ).
fof(f10682,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)],[f10681]) ).
fof(f10683,plain,
! [X0,X1] :
( X0 = cell93
| sP96_prd(X0,X1)
| ~ sP95_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10682]) ).
fof(f10684,plain,
! [X0,X1] :
( X1 = cell94
| sP96_prd(X0,X1)
| ~ sP95_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10682]) ).
fof(f10687,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(f10688,plain,
! [TLH24985,TLH24986] :
( sP96_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell93
& TLH24986 = cell92 )
| sP97_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10679,f10687]) ).
fof(f10689,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)],[f10688]) ).
fof(f10690,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)],[f10689]) ).
fof(f10691,plain,
! [X0,X1] :
( X0 = cell92
| sP97_prd(X0,X1)
| ~ sP96_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10690]) ).
fof(f10692,plain,
! [X0,X1] :
( X1 = cell93
| sP97_prd(X0,X1)
| ~ sP96_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10690]) ).
fof(f10695,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(f10696,plain,
! [TLH24985,TLH24986] :
( sP97_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell92
& TLH24986 = cell91 )
| sP98_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10687,f10695]) ).
fof(f10697,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)],[f10696]) ).
fof(f10698,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)],[f10697]) ).
fof(f10699,plain,
! [X0,X1] :
( X0 = cell91
| sP98_prd(X0,X1)
| ~ sP97_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10698]) ).
fof(f10700,plain,
! [X0,X1] :
( X1 = cell92
| sP98_prd(X0,X1)
| ~ sP97_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10698]) ).
fof(f10703,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(f10704,plain,
! [TLH24985,TLH24986] :
( sP98_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell90
& TLH24986 = cell89 )
| sP99_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10695,f10703]) ).
fof(f10705,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)],[f10704]) ).
fof(f10706,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)],[f10705]) ).
fof(f10707,plain,
! [X0,X1] :
( X0 = cell89
| sP99_prd(X0,X1)
| ~ sP98_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10706]) ).
fof(f10708,plain,
! [X0,X1] :
( X1 = cell90
| sP99_prd(X0,X1)
| ~ sP98_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10706]) ).
fof(f10711,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(f10712,plain,
! [TLH24985,TLH24986] :
( sP99_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell89
& TLH24986 = cell88 )
| sP100_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10703,f10711]) ).
fof(f10713,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)],[f10712]) ).
fof(f10714,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)],[f10713]) ).
fof(f10715,plain,
! [X0,X1] :
( X0 = cell88
| sP100_prd(X0,X1)
| ~ sP99_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10714]) ).
fof(f10716,plain,
! [X0,X1] :
( X1 = cell89
| sP100_prd(X0,X1)
| ~ sP99_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10714]) ).
fof(f10719,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(f10720,plain,
! [TLH24985,TLH24986] :
( sP100_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell88
& TLH24986 = cell87 )
| sP101_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10711,f10719]) ).
fof(f10721,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)],[f10720]) ).
fof(f10722,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)],[f10721]) ).
fof(f10723,plain,
! [X0,X1] :
( X0 = cell87
| sP101_prd(X0,X1)
| ~ sP100_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10722]) ).
fof(f10724,plain,
! [X0,X1] :
( X1 = cell88
| sP101_prd(X0,X1)
| ~ sP100_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10722]) ).
fof(f10727,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(f10728,plain,
! [TLH24985,TLH24986] :
( sP101_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell87
& TLH24986 = cell86 )
| sP102_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10719,f10727]) ).
fof(f10729,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)],[f10728]) ).
fof(f10730,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)],[f10729]) ).
fof(f10731,plain,
! [X0,X1] :
( X0 = cell86
| sP102_prd(X0,X1)
| ~ sP101_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10730]) ).
fof(f10732,plain,
! [X0,X1] :
( X1 = cell87
| sP102_prd(X0,X1)
| ~ sP101_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10730]) ).
fof(f10735,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(f10736,plain,
! [TLH24985,TLH24986] :
( sP102_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell86
& TLH24986 = cell85 )
| sP103_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10727,f10735]) ).
fof(f10737,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)],[f10736]) ).
fof(f10738,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)],[f10737]) ).
fof(f10739,plain,
! [X0,X1] :
( X0 = cell85
| sP103_prd(X0,X1)
| ~ sP102_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10738]) ).
fof(f10740,plain,
! [X0,X1] :
( X1 = cell86
| sP103_prd(X0,X1)
| ~ sP102_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10738]) ).
fof(f10743,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(f10744,plain,
! [TLH24985,TLH24986] :
( sP103_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell85
& TLH24986 = cell84 )
| sP104_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10735,f10743]) ).
fof(f10745,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)],[f10744]) ).
fof(f10746,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)],[f10745]) ).
fof(f10747,plain,
! [X0,X1] :
( X0 = cell84
| sP104_prd(X0,X1)
| ~ sP103_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10746]) ).
fof(f10748,plain,
! [X0,X1] :
( X1 = cell85
| sP104_prd(X0,X1)
| ~ sP103_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10746]) ).
fof(f10751,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(f10752,plain,
! [TLH24985,TLH24986] :
( sP104_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell84
& TLH24986 = cell83 )
| sP105_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10743,f10751]) ).
fof(f10753,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)],[f10752]) ).
fof(f10754,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)],[f10753]) ).
fof(f10755,plain,
! [X0,X1] :
( X0 = cell83
| sP105_prd(X0,X1)
| ~ sP104_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10754]) ).
fof(f10756,plain,
! [X0,X1] :
( X1 = cell84
| sP105_prd(X0,X1)
| ~ sP104_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10754]) ).
fof(f10759,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(f10760,plain,
! [TLH24985,TLH24986] :
( sP105_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell83
& TLH24986 = cell82 )
| sP106_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10751,f10759]) ).
fof(f10761,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)],[f10760]) ).
fof(f10762,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)],[f10761]) ).
fof(f10763,plain,
! [X0,X1] :
( X0 = cell82
| sP106_prd(X0,X1)
| ~ sP105_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10762]) ).
fof(f10764,plain,
! [X0,X1] :
( X1 = cell83
| sP106_prd(X0,X1)
| ~ sP105_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10762]) ).
fof(f10767,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(f10768,plain,
! [TLH24985,TLH24986] :
( sP106_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell82
& TLH24986 = cell81 )
| sP107_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10759,f10767]) ).
fof(f10769,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)],[f10768]) ).
fof(f10770,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)],[f10769]) ).
fof(f10771,plain,
! [X0,X1] :
( X0 = cell81
| sP107_prd(X0,X1)
| ~ sP106_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10770]) ).
fof(f10772,plain,
! [X0,X1] :
( X1 = cell82
| sP107_prd(X0,X1)
| ~ sP106_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10770]) ).
fof(f10775,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(f10776,plain,
! [TLH24985,TLH24986] :
( sP107_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell80
& TLH24986 = cell79 )
| sP108_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10767,f10775]) ).
fof(f10777,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)],[f10776]) ).
fof(f10778,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)],[f10777]) ).
fof(f10779,plain,
! [X0,X1] :
( X0 = cell79
| sP108_prd(X0,X1)
| ~ sP107_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10778]) ).
fof(f10780,plain,
! [X0,X1] :
( X1 = cell80
| sP108_prd(X0,X1)
| ~ sP107_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10778]) ).
fof(f10783,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(f10784,plain,
! [TLH24985,TLH24986] :
( sP108_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell79
& TLH24986 = cell78 )
| sP109_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10775,f10783]) ).
fof(f10785,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)],[f10784]) ).
fof(f10786,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)],[f10785]) ).
fof(f10787,plain,
! [X0,X1] :
( X0 = cell78
| sP109_prd(X0,X1)
| ~ sP108_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10786]) ).
fof(f10788,plain,
! [X0,X1] :
( X1 = cell79
| sP109_prd(X0,X1)
| ~ sP108_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10786]) ).
fof(f10791,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(f10792,plain,
! [TLH24985,TLH24986] :
( sP109_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell78
& TLH24986 = cell77 )
| sP110_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10783,f10791]) ).
fof(f10793,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)],[f10792]) ).
fof(f10794,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)],[f10793]) ).
fof(f10795,plain,
! [X0,X1] :
( X0 = cell77
| sP110_prd(X0,X1)
| ~ sP109_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10794]) ).
fof(f10796,plain,
! [X0,X1] :
( X1 = cell78
| sP110_prd(X0,X1)
| ~ sP109_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10794]) ).
fof(f10799,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(f10800,plain,
! [TLH24985,TLH24986] :
( sP110_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell77
& TLH24986 = cell76 )
| sP111_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10791,f10799]) ).
fof(f10801,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)],[f10800]) ).
fof(f10802,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)],[f10801]) ).
fof(f10803,plain,
! [X0,X1] :
( X0 = cell76
| sP111_prd(X0,X1)
| ~ sP110_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10802]) ).
fof(f10804,plain,
! [X0,X1] :
( X1 = cell77
| sP111_prd(X0,X1)
| ~ sP110_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10802]) ).
fof(f10807,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(f10808,plain,
! [TLH24985,TLH24986] :
( sP111_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell76
& TLH24986 = cell75 )
| sP112_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10799,f10807]) ).
fof(f10809,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)],[f10808]) ).
fof(f10810,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)],[f10809]) ).
fof(f10811,plain,
! [X0,X1] :
( X0 = cell75
| sP112_prd(X0,X1)
| ~ sP111_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10810]) ).
fof(f10812,plain,
! [X0,X1] :
( X1 = cell76
| sP112_prd(X0,X1)
| ~ sP111_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10810]) ).
fof(f10815,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(f10816,plain,
! [TLH24985,TLH24986] :
( sP112_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell75
& TLH24986 = cell74 )
| sP113_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10807,f10815]) ).
fof(f10817,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)],[f10816]) ).
fof(f10818,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)],[f10817]) ).
fof(f10819,plain,
! [X0,X1] :
( X0 = cell74
| sP113_prd(X0,X1)
| ~ sP112_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10818]) ).
fof(f10820,plain,
! [X0,X1] :
( X1 = cell75
| sP113_prd(X0,X1)
| ~ sP112_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10818]) ).
fof(f10823,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(f10824,plain,
! [TLH24985,TLH24986] :
( sP113_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell74
& TLH24986 = cell73 )
| sP114_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10815,f10823]) ).
fof(f10825,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)],[f10824]) ).
fof(f10826,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)],[f10825]) ).
fof(f10827,plain,
! [X0,X1] :
( X0 = cell73
| sP114_prd(X0,X1)
| ~ sP113_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10826]) ).
fof(f10828,plain,
! [X0,X1] :
( X1 = cell74
| sP114_prd(X0,X1)
| ~ sP113_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10826]) ).
fof(f10831,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(f10832,plain,
! [TLH24985,TLH24986] :
( sP114_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell73
& TLH24986 = cell72 )
| sP115_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10823,f10831]) ).
fof(f10833,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)],[f10832]) ).
fof(f10834,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)],[f10833]) ).
fof(f10835,plain,
! [X0,X1] :
( X0 = cell72
| sP115_prd(X0,X1)
| ~ sP114_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10834]) ).
fof(f10836,plain,
! [X0,X1] :
( X1 = cell73
| sP115_prd(X0,X1)
| ~ sP114_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10834]) ).
fof(f10839,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(f10840,plain,
! [TLH24985,TLH24986] :
( sP115_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell72
& TLH24986 = cell71 )
| sP116_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10831,f10839]) ).
fof(f10841,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)],[f10840]) ).
fof(f10842,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)],[f10841]) ).
fof(f10843,plain,
! [X0,X1] :
( X0 = cell71
| sP116_prd(X0,X1)
| ~ sP115_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10842]) ).
fof(f10844,plain,
! [X0,X1] :
( X1 = cell72
| sP116_prd(X0,X1)
| ~ sP115_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10842]) ).
fof(f10847,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(f10848,plain,
! [TLH24985,TLH24986] :
( sP116_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell70
& TLH24986 = cell69 )
| sP117_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10839,f10847]) ).
fof(f10849,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)],[f10848]) ).
fof(f10850,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)],[f10849]) ).
fof(f10851,plain,
! [X0,X1] :
( X0 = cell69
| sP117_prd(X0,X1)
| ~ sP116_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10850]) ).
fof(f10852,plain,
! [X0,X1] :
( X1 = cell70
| sP117_prd(X0,X1)
| ~ sP116_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10850]) ).
fof(f10855,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(f10856,plain,
! [TLH24985,TLH24986] :
( sP117_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell69
& TLH24986 = cell68 )
| sP118_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10847,f10855]) ).
fof(f10857,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)],[f10856]) ).
fof(f10858,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)],[f10857]) ).
fof(f10859,plain,
! [X0,X1] :
( X0 = cell68
| sP118_prd(X0,X1)
| ~ sP117_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10858]) ).
fof(f10860,plain,
! [X0,X1] :
( X1 = cell69
| sP118_prd(X0,X1)
| ~ sP117_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10858]) ).
fof(f10863,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(f10864,plain,
! [TLH24985,TLH24986] :
( sP118_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell68
& TLH24986 = cell67 )
| sP119_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10855,f10863]) ).
fof(f10865,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)],[f10864]) ).
fof(f10866,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)],[f10865]) ).
fof(f10867,plain,
! [X0,X1] :
( X0 = cell67
| sP119_prd(X0,X1)
| ~ sP118_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10866]) ).
fof(f10868,plain,
! [X0,X1] :
( X1 = cell68
| sP119_prd(X0,X1)
| ~ sP118_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10866]) ).
fof(f10871,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(f10872,plain,
! [TLH24985,TLH24986] :
( sP119_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell67
& TLH24986 = cell66 )
| sP120_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10863,f10871]) ).
fof(f10873,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)],[f10872]) ).
fof(f10874,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)],[f10873]) ).
fof(f10875,plain,
! [X0,X1] :
( X0 = cell66
| sP120_prd(X0,X1)
| ~ sP119_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10874]) ).
fof(f10876,plain,
! [X0,X1] :
( X1 = cell67
| sP120_prd(X0,X1)
| ~ sP119_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10874]) ).
fof(f10879,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(f10880,plain,
! [TLH24985,TLH24986] :
( sP120_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell66
& TLH24986 = cell65 )
| sP121_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10871,f10879]) ).
fof(f10881,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)],[f10880]) ).
fof(f10882,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)],[f10881]) ).
fof(f10883,plain,
! [X0,X1] :
( X0 = cell65
| sP121_prd(X0,X1)
| ~ sP120_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10882]) ).
fof(f10884,plain,
! [X0,X1] :
( X1 = cell66
| sP121_prd(X0,X1)
| ~ sP120_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10882]) ).
fof(f10887,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(f10888,plain,
! [TLH24985,TLH24986] :
( sP121_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell65
& TLH24986 = cell64 )
| sP122_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10879,f10887]) ).
fof(f10889,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)],[f10888]) ).
fof(f10890,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)],[f10889]) ).
fof(f10891,plain,
! [X0,X1] :
( X0 = cell64
| sP122_prd(X0,X1)
| ~ sP121_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10890]) ).
fof(f10892,plain,
! [X0,X1] :
( X1 = cell65
| sP122_prd(X0,X1)
| ~ sP121_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10890]) ).
fof(f10895,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(f10896,plain,
! [TLH24985,TLH24986] :
( sP122_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell64
& TLH24986 = cell63 )
| sP123_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10887,f10895]) ).
fof(f10897,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)],[f10896]) ).
fof(f10898,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)],[f10897]) ).
fof(f10899,plain,
! [X0,X1] :
( X0 = cell63
| sP123_prd(X0,X1)
| ~ sP122_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10898]) ).
fof(f10900,plain,
! [X0,X1] :
( X1 = cell64
| sP123_prd(X0,X1)
| ~ sP122_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10898]) ).
fof(f10903,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(f10904,plain,
! [TLH24985,TLH24986] :
( sP123_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell63
& TLH24986 = cell62 )
| sP124_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10895,f10903]) ).
fof(f10905,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)],[f10904]) ).
fof(f10906,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)],[f10905]) ).
fof(f10907,plain,
! [X0,X1] :
( X0 = cell62
| sP124_prd(X0,X1)
| ~ sP123_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10906]) ).
fof(f10908,plain,
! [X0,X1] :
( X1 = cell63
| sP124_prd(X0,X1)
| ~ sP123_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10906]) ).
fof(f10911,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(f10912,plain,
! [TLH24985,TLH24986] :
( sP124_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell62
& TLH24986 = cell61 )
| sP125_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10903,f10911]) ).
fof(f10913,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)],[f10912]) ).
fof(f10914,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)],[f10913]) ).
fof(f10915,plain,
! [X0,X1] :
( X0 = cell61
| sP125_prd(X0,X1)
| ~ sP124_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10914]) ).
fof(f10916,plain,
! [X0,X1] :
( X1 = cell62
| sP125_prd(X0,X1)
| ~ sP124_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10914]) ).
fof(f10919,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(f10920,plain,
! [TLH24985,TLH24986] :
( sP125_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell60
& TLH24986 = cell59 )
| sP126_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10911,f10919]) ).
fof(f10921,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)],[f10920]) ).
fof(f10922,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)],[f10921]) ).
fof(f10923,plain,
! [X0,X1] :
( X0 = cell59
| sP126_prd(X0,X1)
| ~ sP125_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10922]) ).
fof(f10924,plain,
! [X0,X1] :
( X1 = cell60
| sP126_prd(X0,X1)
| ~ sP125_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10922]) ).
fof(f10927,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(f10928,plain,
! [TLH24985,TLH24986] :
( sP126_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell59
& TLH24986 = cell58 )
| sP127_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10919,f10927]) ).
fof(f10929,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)],[f10928]) ).
fof(f10930,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)],[f10929]) ).
fof(f10931,plain,
! [X0,X1] :
( X0 = cell58
| sP127_prd(X0,X1)
| ~ sP126_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10930]) ).
fof(f10932,plain,
! [X0,X1] :
( X1 = cell59
| sP127_prd(X0,X1)
| ~ sP126_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10930]) ).
fof(f10935,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(f10936,plain,
! [TLH24985,TLH24986] :
( sP127_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell58
& TLH24986 = cell57 )
| sP128_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10927,f10935]) ).
fof(f10937,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)],[f10936]) ).
fof(f10938,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)],[f10937]) ).
fof(f10939,plain,
! [X0,X1] :
( X0 = cell57
| sP128_prd(X0,X1)
| ~ sP127_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10938]) ).
fof(f10940,plain,
! [X0,X1] :
( X1 = cell58
| sP128_prd(X0,X1)
| ~ sP127_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10938]) ).
fof(f10943,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(f10944,plain,
! [TLH24985,TLH24986] :
( sP128_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell57
& TLH24986 = cell56 )
| sP129_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10935,f10943]) ).
fof(f10945,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)],[f10944]) ).
fof(f10946,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)],[f10945]) ).
fof(f10947,plain,
! [X0,X1] :
( X0 = cell56
| sP129_prd(X0,X1)
| ~ sP128_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10946]) ).
fof(f10948,plain,
! [X0,X1] :
( X1 = cell57
| sP129_prd(X0,X1)
| ~ sP128_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10946]) ).
fof(f10951,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(f10952,plain,
! [TLH24985,TLH24986] :
( sP129_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell56
& TLH24986 = cell55 )
| sP130_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10943,f10951]) ).
fof(f10953,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)],[f10952]) ).
fof(f10954,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)],[f10953]) ).
fof(f10955,plain,
! [X0,X1] :
( X0 = cell55
| sP130_prd(X0,X1)
| ~ sP129_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10954]) ).
fof(f10956,plain,
! [X0,X1] :
( X1 = cell56
| sP130_prd(X0,X1)
| ~ sP129_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10954]) ).
fof(f10959,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(f10960,plain,
! [TLH24985,TLH24986] :
( sP130_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell55
& TLH24986 = cell54 )
| sP131_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10951,f10959]) ).
fof(f10961,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)],[f10960]) ).
fof(f10962,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)],[f10961]) ).
fof(f10963,plain,
! [X0,X1] :
( X0 = cell54
| sP131_prd(X0,X1)
| ~ sP130_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10962]) ).
fof(f10964,plain,
! [X0,X1] :
( X1 = cell55
| sP131_prd(X0,X1)
| ~ sP130_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10962]) ).
fof(f10967,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(f10968,plain,
! [TLH24985,TLH24986] :
( sP131_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell54
& TLH24986 = cell53 )
| sP132_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10959,f10967]) ).
fof(f10969,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)],[f10968]) ).
fof(f10970,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)],[f10969]) ).
fof(f10971,plain,
! [X0,X1] :
( X0 = cell53
| sP132_prd(X0,X1)
| ~ sP131_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10970]) ).
fof(f10972,plain,
! [X0,X1] :
( X1 = cell54
| sP132_prd(X0,X1)
| ~ sP131_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10970]) ).
fof(f10975,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(f10976,plain,
! [TLH24985,TLH24986] :
( sP132_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell53
& TLH24986 = cell52 )
| sP133_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10967,f10975]) ).
fof(f10977,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)],[f10976]) ).
fof(f10978,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)],[f10977]) ).
fof(f10979,plain,
! [X0,X1] :
( X0 = cell52
| sP133_prd(X0,X1)
| ~ sP132_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10978]) ).
fof(f10980,plain,
! [X0,X1] :
( X1 = cell53
| sP133_prd(X0,X1)
| ~ sP132_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10978]) ).
fof(f10983,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(f10984,plain,
! [TLH24985,TLH24986] :
( sP133_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell52
& TLH24986 = cell51 )
| sP134_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10975,f10983]) ).
fof(f10985,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)],[f10984]) ).
fof(f10986,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)],[f10985]) ).
fof(f10987,plain,
! [X0,X1] :
( X0 = cell51
| sP134_prd(X0,X1)
| ~ sP133_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10986]) ).
fof(f10988,plain,
! [X0,X1] :
( X1 = cell52
| sP134_prd(X0,X1)
| ~ sP133_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10986]) ).
fof(f10991,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(f10992,plain,
! [TLH24985,TLH24986] :
( sP134_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell50
& TLH24986 = cell49 )
| sP135_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10983,f10991]) ).
fof(f10993,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)],[f10992]) ).
fof(f10994,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)],[f10993]) ).
fof(f10995,plain,
! [X0,X1] :
( X0 = cell49
| sP135_prd(X0,X1)
| ~ sP134_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10994]) ).
fof(f10996,plain,
! [X0,X1] :
( X1 = cell50
| sP135_prd(X0,X1)
| ~ sP134_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10994]) ).
fof(f10999,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(f11000,plain,
! [TLH24985,TLH24986] :
( sP135_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell49
& TLH24986 = cell48 )
| sP136_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10991,f10999]) ).
fof(f11001,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)],[f11000]) ).
fof(f11002,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)],[f11001]) ).
fof(f11003,plain,
! [X0,X1] :
( X0 = cell48
| sP136_prd(X0,X1)
| ~ sP135_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11002]) ).
fof(f11004,plain,
! [X0,X1] :
( X1 = cell49
| sP136_prd(X0,X1)
| ~ sP135_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11002]) ).
fof(f11007,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(f11008,plain,
! [TLH24985,TLH24986] :
( sP136_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell48
& TLH24986 = cell47 )
| sP137_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f10999,f11007]) ).
fof(f11009,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)],[f11008]) ).
fof(f11010,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)],[f11009]) ).
fof(f11011,plain,
! [X0,X1] :
( X0 = cell47
| sP137_prd(X0,X1)
| ~ sP136_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11010]) ).
fof(f11012,plain,
! [X0,X1] :
( X1 = cell48
| sP137_prd(X0,X1)
| ~ sP136_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11010]) ).
fof(f11015,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(f11016,plain,
! [TLH24985,TLH24986] :
( sP137_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell47
& TLH24986 = cell46 )
| sP138_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11007,f11015]) ).
fof(f11017,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)],[f11016]) ).
fof(f11018,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)],[f11017]) ).
fof(f11019,plain,
! [X0,X1] :
( X0 = cell46
| sP138_prd(X0,X1)
| ~ sP137_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11018]) ).
fof(f11020,plain,
! [X0,X1] :
( X1 = cell47
| sP138_prd(X0,X1)
| ~ sP137_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11018]) ).
fof(f11023,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(f11024,plain,
! [TLH24985,TLH24986] :
( sP138_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell46
& TLH24986 = cell45 )
| sP139_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11015,f11023]) ).
fof(f11025,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)],[f11024]) ).
fof(f11026,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)],[f11025]) ).
fof(f11027,plain,
! [X0,X1] :
( X0 = cell45
| sP139_prd(X0,X1)
| ~ sP138_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11026]) ).
fof(f11028,plain,
! [X0,X1] :
( X1 = cell46
| sP139_prd(X0,X1)
| ~ sP138_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11026]) ).
fof(f11031,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(f11032,plain,
! [TLH24985,TLH24986] :
( sP139_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell45
& TLH24986 = cell44 )
| sP140_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11023,f11031]) ).
fof(f11033,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)],[f11032]) ).
fof(f11034,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)],[f11033]) ).
fof(f11035,plain,
! [X0,X1] :
( X0 = cell44
| sP140_prd(X0,X1)
| ~ sP139_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11034]) ).
fof(f11036,plain,
! [X0,X1] :
( X1 = cell45
| sP140_prd(X0,X1)
| ~ sP139_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11034]) ).
fof(f11039,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(f11040,plain,
! [TLH24985,TLH24986] :
( sP140_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell44
& TLH24986 = cell43 )
| sP141_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11031,f11039]) ).
fof(f11041,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)],[f11040]) ).
fof(f11042,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)],[f11041]) ).
fof(f11043,plain,
! [X0,X1] :
( X0 = cell43
| sP141_prd(X0,X1)
| ~ sP140_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11042]) ).
fof(f11044,plain,
! [X0,X1] :
( X1 = cell44
| sP141_prd(X0,X1)
| ~ sP140_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11042]) ).
fof(f11047,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(f11048,plain,
! [TLH24985,TLH24986] :
( sP141_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell43
& TLH24986 = cell42 )
| sP142_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11039,f11047]) ).
fof(f11049,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)],[f11048]) ).
fof(f11050,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)],[f11049]) ).
fof(f11051,plain,
! [X0,X1] :
( X0 = cell42
| sP142_prd(X0,X1)
| ~ sP141_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11050]) ).
fof(f11052,plain,
! [X0,X1] :
( X1 = cell43
| sP142_prd(X0,X1)
| ~ sP141_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11050]) ).
fof(f11055,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(f11056,plain,
! [TLH24985,TLH24986] :
( sP142_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell42
& TLH24986 = cell41 )
| sP143_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11047,f11055]) ).
fof(f11057,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)],[f11056]) ).
fof(f11058,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)],[f11057]) ).
fof(f11059,plain,
! [X0,X1] :
( X0 = cell41
| sP143_prd(X0,X1)
| ~ sP142_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11058]) ).
fof(f11060,plain,
! [X0,X1] :
( X1 = cell42
| sP143_prd(X0,X1)
| ~ sP142_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11058]) ).
fof(f11063,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(f11064,plain,
! [TLH24985,TLH24986] :
( sP143_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell40
& TLH24986 = cell39 )
| sP144_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11055,f11063]) ).
fof(f11065,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)],[f11064]) ).
fof(f11066,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)],[f11065]) ).
fof(f11067,plain,
! [X0,X1] :
( X0 = cell39
| sP144_prd(X0,X1)
| ~ sP143_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11066]) ).
fof(f11068,plain,
! [X0,X1] :
( X1 = cell40
| sP144_prd(X0,X1)
| ~ sP143_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11066]) ).
fof(f11071,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(f11072,plain,
! [TLH24985,TLH24986] :
( sP144_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell39
& TLH24986 = cell38 )
| sP145_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11063,f11071]) ).
fof(f11073,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)],[f11072]) ).
fof(f11074,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)],[f11073]) ).
fof(f11075,plain,
! [X0,X1] :
( X0 = cell38
| sP145_prd(X0,X1)
| ~ sP144_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11074]) ).
fof(f11076,plain,
! [X0,X1] :
( X1 = cell39
| sP145_prd(X0,X1)
| ~ sP144_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11074]) ).
fof(f11079,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(f11080,plain,
! [TLH24985,TLH24986] :
( sP145_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell38
& TLH24986 = cell37 )
| sP146_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11071,f11079]) ).
fof(f11081,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)],[f11080]) ).
fof(f11082,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)],[f11081]) ).
fof(f11083,plain,
! [X0,X1] :
( X0 = cell37
| sP146_prd(X0,X1)
| ~ sP145_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11082]) ).
fof(f11084,plain,
! [X0,X1] :
( X1 = cell38
| sP146_prd(X0,X1)
| ~ sP145_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11082]) ).
fof(f11087,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(f11088,plain,
! [TLH24985,TLH24986] :
( sP146_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell37
& TLH24986 = cell36 )
| sP147_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11079,f11087]) ).
fof(f11089,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)],[f11088]) ).
fof(f11090,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)],[f11089]) ).
fof(f11091,plain,
! [X0,X1] :
( X0 = cell36
| sP147_prd(X0,X1)
| ~ sP146_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11090]) ).
fof(f11092,plain,
! [X0,X1] :
( X1 = cell37
| sP147_prd(X0,X1)
| ~ sP146_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11090]) ).
fof(f11095,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(f11096,plain,
! [TLH24985,TLH24986] :
( sP147_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell36
& TLH24986 = cell35 )
| sP148_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11087,f11095]) ).
fof(f11097,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)],[f11096]) ).
fof(f11098,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)],[f11097]) ).
fof(f11099,plain,
! [X0,X1] :
( X0 = cell35
| sP148_prd(X0,X1)
| ~ sP147_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11098]) ).
fof(f11100,plain,
! [X0,X1] :
( X1 = cell36
| sP148_prd(X0,X1)
| ~ sP147_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11098]) ).
fof(f11103,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(f11104,plain,
! [TLH24985,TLH24986] :
( sP148_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell35
& TLH24986 = cell34 )
| sP149_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11095,f11103]) ).
fof(f11105,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)],[f11104]) ).
fof(f11106,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)],[f11105]) ).
fof(f11107,plain,
! [X0,X1] :
( X0 = cell34
| sP149_prd(X0,X1)
| ~ sP148_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11106]) ).
fof(f11108,plain,
! [X0,X1] :
( X1 = cell35
| sP149_prd(X0,X1)
| ~ sP148_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11106]) ).
fof(f11111,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(f11112,plain,
! [TLH24985,TLH24986] :
( sP149_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell34
& TLH24986 = cell33 )
| sP150_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11103,f11111]) ).
fof(f11113,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)],[f11112]) ).
fof(f11114,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)],[f11113]) ).
fof(f11115,plain,
! [X0,X1] :
( X0 = cell33
| sP150_prd(X0,X1)
| ~ sP149_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11114]) ).
fof(f11116,plain,
! [X0,X1] :
( X1 = cell34
| sP150_prd(X0,X1)
| ~ sP149_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11114]) ).
fof(f11119,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(f11120,plain,
! [TLH24985,TLH24986] :
( sP150_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell33
& TLH24986 = cell32 )
| sP151_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11111,f11119]) ).
fof(f11121,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)],[f11120]) ).
fof(f11122,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)],[f11121]) ).
fof(f11123,plain,
! [X0,X1] :
( X0 = cell32
| sP151_prd(X0,X1)
| ~ sP150_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11122]) ).
fof(f11124,plain,
! [X0,X1] :
( X1 = cell33
| sP151_prd(X0,X1)
| ~ sP150_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11122]) ).
fof(f11127,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(f11128,plain,
! [TLH24985,TLH24986] :
( sP151_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell32
& TLH24986 = cell31 )
| sP152_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11119,f11127]) ).
fof(f11129,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)],[f11128]) ).
fof(f11130,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)],[f11129]) ).
fof(f11131,plain,
! [X0,X1] :
( X0 = cell31
| sP152_prd(X0,X1)
| ~ sP151_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11130]) ).
fof(f11132,plain,
! [X0,X1] :
( X1 = cell32
| sP152_prd(X0,X1)
| ~ sP151_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11130]) ).
fof(f11135,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(f11136,plain,
! [TLH24985,TLH24986] :
( sP152_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell30
& TLH24986 = cell29 )
| sP153_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11127,f11135]) ).
fof(f11137,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)],[f11136]) ).
fof(f11138,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)],[f11137]) ).
fof(f11139,plain,
! [X0,X1] :
( X0 = cell29
| sP153_prd(X0,X1)
| ~ sP152_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11138]) ).
fof(f11140,plain,
! [X0,X1] :
( X1 = cell30
| sP153_prd(X0,X1)
| ~ sP152_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11138]) ).
fof(f11143,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(f11144,plain,
! [TLH24985,TLH24986] :
( sP153_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell29
& TLH24986 = cell28 )
| sP154_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11135,f11143]) ).
fof(f11145,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)],[f11144]) ).
fof(f11146,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)],[f11145]) ).
fof(f11147,plain,
! [X0,X1] :
( X0 = cell28
| sP154_prd(X0,X1)
| ~ sP153_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11146]) ).
fof(f11148,plain,
! [X0,X1] :
( X1 = cell29
| sP154_prd(X0,X1)
| ~ sP153_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11146]) ).
fof(f11151,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(f11152,plain,
! [TLH24985,TLH24986] :
( sP154_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell28
& TLH24986 = cell27 )
| sP155_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11143,f11151]) ).
fof(f11153,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)],[f11152]) ).
fof(f11154,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)],[f11153]) ).
fof(f11155,plain,
! [X0,X1] :
( X0 = cell27
| sP155_prd(X0,X1)
| ~ sP154_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11154]) ).
fof(f11156,plain,
! [X0,X1] :
( X1 = cell28
| sP155_prd(X0,X1)
| ~ sP154_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11154]) ).
fof(f11159,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(f11160,plain,
! [TLH24985,TLH24986] :
( sP155_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell27
& TLH24986 = cell26 )
| sP156_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11151,f11159]) ).
fof(f11161,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)],[f11160]) ).
fof(f11162,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)],[f11161]) ).
fof(f11163,plain,
! [X0,X1] :
( X0 = cell26
| sP156_prd(X0,X1)
| ~ sP155_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11162]) ).
fof(f11164,plain,
! [X0,X1] :
( X1 = cell27
| sP156_prd(X0,X1)
| ~ sP155_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11162]) ).
fof(f11167,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(f11168,plain,
! [TLH24985,TLH24986] :
( sP156_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell26
& TLH24986 = cell25 )
| sP157_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11159,f11167]) ).
fof(f11169,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)],[f11168]) ).
fof(f11170,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)],[f11169]) ).
fof(f11171,plain,
! [X0,X1] :
( X0 = cell25
| sP157_prd(X0,X1)
| ~ sP156_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11170]) ).
fof(f11172,plain,
! [X0,X1] :
( X1 = cell26
| sP157_prd(X0,X1)
| ~ sP156_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11170]) ).
fof(f11175,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(f11176,plain,
! [TLH24985,TLH24986] :
( sP157_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell25
& TLH24986 = cell24 )
| sP158_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11167,f11175]) ).
fof(f11177,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)],[f11176]) ).
fof(f11178,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)],[f11177]) ).
fof(f11179,plain,
! [X0,X1] :
( X0 = cell24
| sP158_prd(X0,X1)
| ~ sP157_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11178]) ).
fof(f11180,plain,
! [X0,X1] :
( X1 = cell25
| sP158_prd(X0,X1)
| ~ sP157_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11178]) ).
fof(f11183,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(f11184,plain,
! [TLH24985,TLH24986] :
( sP158_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell24
& TLH24986 = cell23 )
| sP159_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11175,f11183]) ).
fof(f11185,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)],[f11184]) ).
fof(f11186,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)],[f11185]) ).
fof(f11187,plain,
! [X0,X1] :
( X0 = cell23
| sP159_prd(X0,X1)
| ~ sP158_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11186]) ).
fof(f11188,plain,
! [X0,X1] :
( X1 = cell24
| sP159_prd(X0,X1)
| ~ sP158_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11186]) ).
fof(f11191,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(f11192,plain,
! [TLH24985,TLH24986] :
( sP159_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell23
& TLH24986 = cell22 )
| sP160_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11183,f11191]) ).
fof(f11193,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)],[f11192]) ).
fof(f11194,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)],[f11193]) ).
fof(f11195,plain,
! [X0,X1] :
( X0 = cell22
| sP160_prd(X0,X1)
| ~ sP159_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11194]) ).
fof(f11196,plain,
! [X0,X1] :
( X1 = cell23
| sP160_prd(X0,X1)
| ~ sP159_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11194]) ).
fof(f11199,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(f11200,plain,
! [TLH24985,TLH24986] :
( sP160_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell22
& TLH24986 = cell21 )
| sP161_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11191,f11199]) ).
fof(f11201,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)],[f11200]) ).
fof(f11202,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)],[f11201]) ).
fof(f11203,plain,
! [X0,X1] :
( X0 = cell21
| sP161_prd(X0,X1)
| ~ sP160_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11202]) ).
fof(f11204,plain,
! [X0,X1] :
( X1 = cell22
| sP161_prd(X0,X1)
| ~ sP160_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11202]) ).
fof(f11207,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(f11208,plain,
! [TLH24985,TLH24986] :
( sP161_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell20
& TLH24986 = cell19 )
| sP162_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11199,f11207]) ).
fof(f11209,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)],[f11208]) ).
fof(f11210,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)],[f11209]) ).
fof(f11211,plain,
! [X0,X1] :
( X0 = cell19
| sP162_prd(X0,X1)
| ~ sP161_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11210]) ).
fof(f11212,plain,
! [X0,X1] :
( X1 = cell20
| sP162_prd(X0,X1)
| ~ sP161_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11210]) ).
fof(f11215,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(f11216,plain,
! [TLH24985,TLH24986] :
( sP162_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell19
& TLH24986 = cell18 )
| sP163_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11207,f11215]) ).
fof(f11217,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)],[f11216]) ).
fof(f11218,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)],[f11217]) ).
fof(f11219,plain,
! [X0,X1] :
( X0 = cell18
| sP163_prd(X0,X1)
| ~ sP162_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11218]) ).
fof(f11220,plain,
! [X0,X1] :
( X1 = cell19
| sP163_prd(X0,X1)
| ~ sP162_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11218]) ).
fof(f11223,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(f11224,plain,
! [TLH24985,TLH24986] :
( sP163_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell18
& TLH24986 = cell17 )
| sP164_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11215,f11223]) ).
fof(f11225,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)],[f11224]) ).
fof(f11226,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)],[f11225]) ).
fof(f11227,plain,
! [X0,X1] :
( X0 = cell17
| sP164_prd(X0,X1)
| ~ sP163_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11226]) ).
fof(f11228,plain,
! [X0,X1] :
( X1 = cell18
| sP164_prd(X0,X1)
| ~ sP163_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11226]) ).
fof(f11231,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(f11232,plain,
! [TLH24985,TLH24986] :
( sP164_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell17
& TLH24986 = cell16 )
| sP165_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11223,f11231]) ).
fof(f11233,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)],[f11232]) ).
fof(f11234,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)],[f11233]) ).
fof(f11235,plain,
! [X0,X1] :
( X0 = cell16
| sP165_prd(X0,X1)
| ~ sP164_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11234]) ).
fof(f11236,plain,
! [X0,X1] :
( X1 = cell17
| sP165_prd(X0,X1)
| ~ sP164_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11234]) ).
fof(f11239,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(f11240,plain,
! [TLH24985,TLH24986] :
( sP165_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell16
& TLH24986 = cell15 )
| sP166_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11231,f11239]) ).
fof(f11241,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)],[f11240]) ).
fof(f11242,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)],[f11241]) ).
fof(f11243,plain,
! [X0,X1] :
( X0 = cell15
| sP166_prd(X0,X1)
| ~ sP165_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11242]) ).
fof(f11244,plain,
! [X0,X1] :
( X1 = cell16
| sP166_prd(X0,X1)
| ~ sP165_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11242]) ).
fof(f11247,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(f11248,plain,
! [TLH24985,TLH24986] :
( sP166_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell15
& TLH24986 = cell14 )
| sP167_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11239,f11247]) ).
fof(f11249,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)],[f11248]) ).
fof(f11250,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)],[f11249]) ).
fof(f11251,plain,
! [X0,X1] :
( X0 = cell14
| sP167_prd(X0,X1)
| ~ sP166_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11250]) ).
fof(f11252,plain,
! [X0,X1] :
( X1 = cell15
| sP167_prd(X0,X1)
| ~ sP166_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11250]) ).
fof(f11255,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(f11256,plain,
! [TLH24985,TLH24986] :
( sP167_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell14
& TLH24986 = cell13 )
| sP168_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11247,f11255]) ).
fof(f11257,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)],[f11256]) ).
fof(f11258,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)],[f11257]) ).
fof(f11259,plain,
! [X0,X1] :
( X0 = cell13
| sP168_prd(X0,X1)
| ~ sP167_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11258]) ).
fof(f11260,plain,
! [X0,X1] :
( X1 = cell14
| sP168_prd(X0,X1)
| ~ sP167_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11258]) ).
fof(f11263,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(f11264,plain,
! [TLH24985,TLH24986] :
( sP168_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell13
& TLH24986 = cell12 )
| sP169_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11255,f11263]) ).
fof(f11265,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)],[f11264]) ).
fof(f11266,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)],[f11265]) ).
fof(f11267,plain,
! [X0,X1] :
( X0 = cell12
| sP169_prd(X0,X1)
| ~ sP168_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11266]) ).
fof(f11268,plain,
! [X0,X1] :
( X1 = cell13
| sP169_prd(X0,X1)
| ~ sP168_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11266]) ).
fof(f11271,definition,
! [TLH24985,TLH24986] :
( sP170_prd(TLH24986,TLH24985)
<=> ( ( 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,[sP170_prd])],[]) ).
fof(f11272,plain,
! [TLH24985,TLH24986] :
( sP169_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell12
& TLH24986 = cell11 )
| sP170_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11263,f11271]) ).
fof(f11273,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell12
| TLH24986 != cell11 )
& ~ sP170_prd(TLH24986,TLH24985) )
| sP169_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell12
& TLH24986 = cell11 )
| sP170_prd(TLH24986,TLH24985)
| ~ sP169_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11272]) ).
fof(f11274,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell12
| TLH24986 != cell11 )
& ~ sP170_prd(TLH24986,TLH24985) )
| sP169_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell12
& TLH24986 = cell11 )
| sP170_prd(TLH24986,TLH24985)
| ~ sP169_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11273]) ).
fof(f11275,plain,
! [X0,X1] :
( X0 = cell11
| sP170_prd(X0,X1)
| ~ sP169_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11274]) ).
fof(f11276,plain,
! [X0,X1] :
( X1 = cell12
| sP170_prd(X0,X1)
| ~ sP169_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11274]) ).
fof(f11279,definition,
! [TLH24985,TLH24986] :
( sP171_prd(TLH24986,TLH24985)
<=> ( ( 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,[sP171_prd])],[]) ).
fof(f11280,plain,
! [TLH24985,TLH24986] :
( sP170_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell10
& TLH24986 = cell9 )
| sP171_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11271,f11279]) ).
fof(f11281,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell10
| TLH24986 != cell9 )
& ~ sP171_prd(TLH24986,TLH24985) )
| sP170_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell10
& TLH24986 = cell9 )
| sP171_prd(TLH24986,TLH24985)
| ~ sP170_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11280]) ).
fof(f11282,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell10
| TLH24986 != cell9 )
& ~ sP171_prd(TLH24986,TLH24985) )
| sP170_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell10
& TLH24986 = cell9 )
| sP171_prd(TLH24986,TLH24985)
| ~ sP170_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11281]) ).
fof(f11283,plain,
! [X0,X1] :
( X0 = cell9
| sP171_prd(X0,X1)
| ~ sP170_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11282]) ).
fof(f11284,plain,
! [X0,X1] :
( X1 = cell10
| sP171_prd(X0,X1)
| ~ sP170_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11282]) ).
fof(f11287,definition,
! [TLH24985,TLH24986] :
( sP172_prd(TLH24986,TLH24985)
<=> ( ( 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,[sP172_prd])],[]) ).
fof(f11288,plain,
! [TLH24985,TLH24986] :
( sP171_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell9
& TLH24986 = cell8 )
| sP172_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11279,f11287]) ).
fof(f11289,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell9
| TLH24986 != cell8 )
& ~ sP172_prd(TLH24986,TLH24985) )
| sP171_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell9
& TLH24986 = cell8 )
| sP172_prd(TLH24986,TLH24985)
| ~ sP171_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11288]) ).
fof(f11290,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell9
| TLH24986 != cell8 )
& ~ sP172_prd(TLH24986,TLH24985) )
| sP171_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell9
& TLH24986 = cell8 )
| sP172_prd(TLH24986,TLH24985)
| ~ sP171_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11289]) ).
fof(f11291,plain,
! [X0,X1] :
( X0 = cell8
| sP172_prd(X0,X1)
| ~ sP171_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11290]) ).
fof(f11292,plain,
! [X0,X1] :
( X1 = cell9
| sP172_prd(X0,X1)
| ~ sP171_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11290]) ).
fof(f11295,definition,
! [TLH24985,TLH24986] :
( sP173_prd(TLH24986,TLH24985)
<=> ( ( 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,[sP173_prd])],[]) ).
fof(f11296,plain,
! [TLH24985,TLH24986] :
( sP172_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell8
& TLH24986 = cell7 )
| sP173_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11287,f11295]) ).
fof(f11297,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell8
| TLH24986 != cell7 )
& ~ sP173_prd(TLH24986,TLH24985) )
| sP172_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell8
& TLH24986 = cell7 )
| sP173_prd(TLH24986,TLH24985)
| ~ sP172_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11296]) ).
fof(f11298,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell8
| TLH24986 != cell7 )
& ~ sP173_prd(TLH24986,TLH24985) )
| sP172_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell8
& TLH24986 = cell7 )
| sP173_prd(TLH24986,TLH24985)
| ~ sP172_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11297]) ).
fof(f11299,plain,
! [X0,X1] :
( X0 = cell7
| sP173_prd(X0,X1)
| ~ sP172_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11298]) ).
fof(f11300,plain,
! [X0,X1] :
( X1 = cell8
| sP173_prd(X0,X1)
| ~ sP172_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11298]) ).
fof(f11303,definition,
! [TLH24985,TLH24986] :
( sP174_prd(TLH24986,TLH24985)
<=> ( ( 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,[sP174_prd])],[]) ).
fof(f11304,plain,
! [TLH24985,TLH24986] :
( sP173_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell7
& TLH24986 = cell6 )
| sP174_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11295,f11303]) ).
fof(f11305,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell7
| TLH24986 != cell6 )
& ~ sP174_prd(TLH24986,TLH24985) )
| sP173_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell7
& TLH24986 = cell6 )
| sP174_prd(TLH24986,TLH24985)
| ~ sP173_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11304]) ).
fof(f11306,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell7
| TLH24986 != cell6 )
& ~ sP174_prd(TLH24986,TLH24985) )
| sP173_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell7
& TLH24986 = cell6 )
| sP174_prd(TLH24986,TLH24985)
| ~ sP173_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11305]) ).
fof(f11307,plain,
! [X0,X1] :
( X0 = cell6
| sP174_prd(X0,X1)
| ~ sP173_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11306]) ).
fof(f11308,plain,
! [X0,X1] :
( X1 = cell7
| sP174_prd(X0,X1)
| ~ sP173_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11306]) ).
fof(f11311,definition,
! [TLH24985,TLH24986] :
( sP175_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell5
& TLH24986 = cell4 )
| ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP175_prd])],[]) ).
fof(f11312,plain,
! [TLH24985,TLH24986] :
( sP174_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell6
& TLH24986 = cell5 )
| sP175_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11303,f11311]) ).
fof(f11313,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell6
| TLH24986 != cell5 )
& ~ sP175_prd(TLH24986,TLH24985) )
| sP174_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell6
& TLH24986 = cell5 )
| sP175_prd(TLH24986,TLH24985)
| ~ sP174_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11312]) ).
fof(f11314,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell6
| TLH24986 != cell5 )
& ~ sP175_prd(TLH24986,TLH24985) )
| sP174_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell6
& TLH24986 = cell5 )
| sP175_prd(TLH24986,TLH24985)
| ~ sP174_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11313]) ).
fof(f11315,plain,
! [X0,X1] :
( X0 = cell5
| sP175_prd(X0,X1)
| ~ sP174_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11314]) ).
fof(f11316,plain,
! [X0,X1] :
( X1 = cell6
| sP175_prd(X0,X1)
| ~ sP174_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11314]) ).
fof(f11319,definition,
! [TLH24985,TLH24986] :
( sP176_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell4
& TLH24986 = cell3 )
| ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP176_prd])],[]) ).
fof(f11320,plain,
! [TLH24985,TLH24986] :
( sP175_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell5
& TLH24986 = cell4 )
| sP176_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11311,f11319]) ).
fof(f11321,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell5
| TLH24986 != cell4 )
& ~ sP176_prd(TLH24986,TLH24985) )
| sP175_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell5
& TLH24986 = cell4 )
| sP176_prd(TLH24986,TLH24985)
| ~ sP175_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11320]) ).
fof(f11322,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell5
| TLH24986 != cell4 )
& ~ sP176_prd(TLH24986,TLH24985) )
| sP175_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell5
& TLH24986 = cell4 )
| sP176_prd(TLH24986,TLH24985)
| ~ sP175_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11321]) ).
fof(f11323,plain,
! [X0,X1] :
( X0 = cell4
| sP176_prd(X0,X1)
| ~ sP175_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11322]) ).
fof(f11324,plain,
! [X0,X1] :
( X1 = cell5
| sP176_prd(X0,X1)
| ~ sP175_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11322]) ).
fof(f11327,definition,
! [TLH24985,TLH24986] :
( sP177_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 ) ) ),
introduced(definition,[new_symbols(definition,[sP177_prd])],[]) ).
fof(f11328,plain,
! [TLH24985,TLH24986] :
( sP176_prd(TLH24986,TLH24985)
<=> ( ( TLH24985 = cell4
& TLH24986 = cell3 )
| sP177_prd(TLH24986,TLH24985) ) ),
inference(formula_renaming,[status(thm)],[f11319,f11327]) ).
fof(f11329,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell4
| TLH24986 != cell3 )
& ~ sP177_prd(TLH24986,TLH24985) )
| sP176_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell4
& TLH24986 = cell3 )
| sP177_prd(TLH24986,TLH24985)
| ~ sP176_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11328]) ).
fof(f11330,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell4
| TLH24986 != cell3 )
& ~ sP177_prd(TLH24986,TLH24985) )
| sP176_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell4
& TLH24986 = cell3 )
| sP177_prd(TLH24986,TLH24985)
| ~ sP176_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11329]) ).
fof(f11331,plain,
! [X0,X1] :
( X0 = cell3
| sP177_prd(X0,X1)
| ~ sP176_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11330]) ).
fof(f11332,plain,
! [X0,X1] :
( X1 = cell4
| sP177_prd(X0,X1)
| ~ sP176_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11330]) ).
fof(f11335,plain,
! [TLH24985,TLH24986] :
( ( ( ( TLH24985 != cell3
| TLH24986 != cell2 )
& ( TLH24985 != cell2
| TLH24986 != cell1 ) )
| sP177_prd(TLH24986,TLH24985) )
& ( ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 )
| ~ sP177_prd(TLH24986,TLH24985) ) ),
inference(NNF_transformation,[status(thm)],[f11327]) ).
fof(f11336,plain,
( ! [TLH24985,TLH24986] :
( ( ( TLH24985 != cell3
| TLH24986 != cell2 )
& ( TLH24985 != cell2
| TLH24986 != cell1 ) )
| sP177_prd(TLH24986,TLH24985) )
& ! [TLH24985,TLH24986] :
( ( TLH24985 = cell3
& TLH24986 = cell2 )
| ( TLH24985 = cell2
& TLH24986 = cell1 )
| ~ sP177_prd(TLH24986,TLH24985) ) ),
inference(miniscoping,[status(thm)],[f11335]) ).
fof(f11337,plain,
! [X0,X1] :
( X0 = cell2
| X0 = cell1
| ~ sP177_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11336]) ).
fof(f11340,plain,
! [X0,X1] :
( X1 = cell3
| X1 = cell2
| ~ sP177_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11336]) ).
fof(f11523,plain,
( edge(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f4965,f9918]) ).
fof(f11525,plain,
( cell100 = cell90
| sP0_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f11523,f4959]) ).
fof(f11536,plain,
( sP0_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(backward_subsumption_resolution,[status(thm)],[f11525,f5912]) ).
fof(f11540,plain,
( edge(cell1,cell100)
| cell100 = cell89
| sP1_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9923,f11536]) ).
fof(f11541,plain,
( edge(cell1,cell100)
| sP1_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11540,f6001]) ).
fof(f11550,plain,
( edge(cell1,cell100)
| cell100 = cell88
| sP2_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9931,f11541]) ).
fof(f11551,plain,
( edge(cell1,cell100)
| sP2_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11550,f6089]) ).
fof(f11556,plain,
( edge(cell1,cell100)
| cell100 = cell87
| sP3_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9939,f11551]) ).
fof(f11558,plain,
( edge(cell1,cell100)
| sP3_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11556,f6176]) ).
fof(f11563,plain,
( edge(cell1,cell100)
| cell100 = cell86
| sP4_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9947,f11558]) ).
fof(f11565,plain,
( edge(cell1,cell100)
| sP4_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11563,f6262]) ).
fof(f11571,plain,
( cell100 = cell85
| sP5_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f11565,f9955]) ).
fof(f11573,plain,
( sP5_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f11571,f6347]) ).
fof(f11578,plain,
( edge(cell1,cell100)
| cell100 = cell84
| sP6_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9963,f11573]) ).
fof(f11580,plain,
( edge(cell1,cell100)
| sP6_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11578,f6431]) ).
fof(f11586,plain,
( edge(cell1,cell100)
| cell100 = cell83
| sP7_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9971,f11580]) ).
fof(f11588,plain,
( edge(cell1,cell100)
| sP7_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11586,f6514]) ).
fof(f11593,plain,
( edge(cell1,cell100)
| cell100 = cell82
| sP8_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9979,f11588]) ).
fof(f11595,plain,
( edge(cell1,cell100)
| sP8_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11593,f6677]) ).
fof(f11601,plain,
( edge(cell1,cell100)
| cell100 = cell81
| sP9_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9987,f11595]) ).
fof(f11603,plain,
( edge(cell1,cell100)
| sP9_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11601,f6596]) ).
fof(f11608,plain,
( edge(cell1,cell100)
| cell100 = cell80
| sP10_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f9995,f11603]) ).
fof(f11610,plain,
( edge(cell1,cell100)
| sP10_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11608,f6757]) ).
fof(f11616,plain,
( edge(cell1,cell100)
| cell100 = cell79
| sP11_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10003,f11610]) ).
fof(f11618,plain,
( edge(cell1,cell100)
| sP11_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11616,f6836]) ).
fof(f11623,plain,
( edge(cell1,cell100)
| cell100 = cell78
| sP12_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10011,f11618]) ).
fof(f11625,plain,
( edge(cell1,cell100)
| sP12_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11623,f6914]) ).
fof(f11631,plain,
( edge(cell1,cell100)
| cell100 = cell77
| sP13_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10019,f11625]) ).
fof(f11633,plain,
( edge(cell1,cell100)
| sP13_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11631,f6991]) ).
fof(f11638,plain,
( edge(cell1,cell100)
| cell100 = cell76
| sP14_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10027,f11633]) ).
fof(f11640,plain,
( edge(cell1,cell100)
| sP14_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11638,f7067]) ).
fof(f11646,plain,
( edge(cell1,cell100)
| cell100 = cell75
| sP15_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10035,f11640]) ).
fof(f11648,plain,
( edge(cell1,cell100)
| sP15_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11646,f7142]) ).
fof(f11653,plain,
( edge(cell1,cell100)
| cell100 = cell74
| sP16_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10043,f11648]) ).
fof(f11655,plain,
( edge(cell1,cell100)
| sP16_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11653,f7216]) ).
fof(f11661,plain,
( edge(cell1,cell100)
| cell100 = cell73
| sP17_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10051,f11655]) ).
fof(f11663,plain,
( edge(cell1,cell100)
| sP17_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11661,f7289]) ).
fof(f11668,plain,
( edge(cell1,cell100)
| cell100 = cell72
| sP18_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10059,f11663]) ).
fof(f11670,plain,
( edge(cell1,cell100)
| sP18_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11668,f7432]) ).
fof(f11676,plain,
( edge(cell1,cell100)
| cell100 = cell71
| sP19_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10067,f11670]) ).
fof(f11678,plain,
( edge(cell1,cell100)
| sP19_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11676,f7361]) ).
fof(f11683,plain,
( edge(cell1,cell100)
| cell100 = cell70
| sP20_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10075,f11678]) ).
fof(f11685,plain,
( edge(cell1,cell100)
| sP20_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11683,f7502]) ).
fof(f11691,plain,
( edge(cell1,cell100)
| cell100 = cell69
| sP21_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10083,f11685]) ).
fof(f11693,plain,
( edge(cell1,cell100)
| sP21_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11691,f7571]) ).
fof(f11698,plain,
( edge(cell1,cell100)
| cell100 = cell68
| sP22_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10091,f11693]) ).
fof(f11700,plain,
( edge(cell1,cell100)
| sP22_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11698,f7639]) ).
fof(f11706,plain,
( edge(cell1,cell100)
| cell100 = cell67
| sP23_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10099,f11700]) ).
fof(f11708,plain,
( edge(cell1,cell100)
| sP23_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11706,f7706]) ).
fof(f11713,plain,
( edge(cell1,cell100)
| cell100 = cell66
| sP24_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10107,f11708]) ).
fof(f11715,plain,
( edge(cell1,cell100)
| sP24_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11713,f7772]) ).
fof(f11721,plain,
( edge(cell1,cell100)
| cell100 = cell65
| sP25_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10115,f11715]) ).
fof(f11723,plain,
( edge(cell1,cell100)
| sP25_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11721,f7837]) ).
fof(f11728,plain,
( edge(cell1,cell100)
| cell100 = cell64
| sP26_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10123,f11723]) ).
fof(f11730,plain,
( edge(cell1,cell100)
| sP26_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11728,f7901]) ).
fof(f11736,plain,
( edge(cell1,cell100)
| cell100 = cell63
| sP27_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10131,f11730]) ).
fof(f11738,plain,
( edge(cell1,cell100)
| sP27_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11736,f7964]) ).
fof(f11743,plain,
( edge(cell1,cell100)
| cell100 = cell62
| sP28_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10139,f11738]) ).
fof(f11745,plain,
( edge(cell1,cell100)
| sP28_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11743,f8087]) ).
fof(f11751,plain,
( edge(cell1,cell100)
| cell100 = cell61
| sP29_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10147,f11745]) ).
fof(f11753,plain,
( edge(cell1,cell100)
| sP29_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11751,f8026]) ).
fof(f11758,plain,
( edge(cell1,cell100)
| cell100 = cell60
| sP30_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10155,f11753]) ).
fof(f11760,plain,
( edge(cell1,cell100)
| sP30_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11758,f8147]) ).
fof(f11766,plain,
( edge(cell1,cell100)
| cell100 = cell59
| sP31_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10163,f11760]) ).
fof(f11768,plain,
( edge(cell1,cell100)
| sP31_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11766,f8206]) ).
fof(f11773,plain,
( edge(cell1,cell100)
| cell100 = cell58
| sP32_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10171,f11768]) ).
fof(f11775,plain,
( edge(cell1,cell100)
| sP32_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11773,f8264]) ).
fof(f11781,plain,
( edge(cell1,cell100)
| cell100 = cell57
| sP33_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10179,f11775]) ).
fof(f11783,plain,
( edge(cell1,cell100)
| sP33_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11781,f8321]) ).
fof(f11788,plain,
( edge(cell1,cell100)
| cell100 = cell56
| sP34_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10187,f11783]) ).
fof(f11790,plain,
( edge(cell1,cell100)
| sP34_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11788,f8377]) ).
fof(f11796,plain,
( edge(cell1,cell100)
| cell100 = cell55
| sP35_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10195,f11790]) ).
fof(f11798,plain,
( edge(cell1,cell100)
| sP35_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11796,f8432]) ).
fof(f11803,plain,
( edge(cell1,cell100)
| cell100 = cell54
| sP36_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10203,f11798]) ).
fof(f11805,plain,
( edge(cell1,cell100)
| sP36_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11803,f8486]) ).
fof(f11811,plain,
( edge(cell1,cell100)
| cell100 = cell53
| sP37_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10211,f11805]) ).
fof(f11813,plain,
( edge(cell1,cell100)
| sP37_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11811,f8539]) ).
fof(f11818,plain,
( edge(cell1,cell100)
| cell100 = cell52
| sP38_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10219,f11813]) ).
fof(f11820,plain,
( edge(cell1,cell100)
| sP38_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11818,f8642]) ).
fof(f11826,plain,
( edge(cell1,cell100)
| cell100 = cell51
| sP39_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10227,f11820]) ).
fof(f11828,plain,
( edge(cell1,cell100)
| sP39_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11826,f8591]) ).
fof(f11852,plain,
( edge(cell1,cell100)
| cell100 = cell50
| sP40_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10235,f11828]) ).
fof(f11854,plain,
( edge(cell1,cell100)
| sP40_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11852,f8692]) ).
fof(f11871,plain,
( edge(cell1,cell100)
| cell100 = cell49
| sP41_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10243,f11854]) ).
fof(f11873,plain,
( edge(cell1,cell100)
| sP41_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11871,f8741]) ).
fof(f11896,plain,
( edge(cell1,cell100)
| cell100 = cell48
| sP42_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10251,f11873]) ).
fof(f11898,plain,
( edge(cell1,cell100)
| sP42_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11896,f8789]) ).
fof(f11918,plain,
( edge(cell1,cell100)
| cell100 = cell47
| sP43_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10259,f11898]) ).
fof(f11920,plain,
( edge(cell1,cell100)
| sP43_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11918,f8836]) ).
fof(f11944,plain,
( cell100 = cell46
| sP44_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f11920,f10267]) ).
fof(f11946,plain,
( sP44_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f11944,f8882]) ).
fof(f11981,plain,
( edge(cell1,cell100)
| cell100 = cell45
| sP45_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10275,f11946]) ).
fof(f11983,plain,
( edge(cell1,cell100)
| sP45_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11981,f8927]) ).
fof(f11989,plain,
( edge(cell1,cell100)
| cell100 = cell44
| sP46_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10283,f11983]) ).
fof(f11991,plain,
( edge(cell1,cell100)
| sP46_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11989,f8971]) ).
fof(f12024,plain,
( edge(cell1,cell100)
| cell100 = cell43
| sP47_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10291,f11991]) ).
fof(f12026,plain,
( edge(cell1,cell100)
| sP47_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12024,f9014]) ).
fof(f12043,plain,
( edge(cell1,cell100)
| cell100 = cell42
| sP48_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10299,f12026]) ).
fof(f12045,plain,
( edge(cell1,cell100)
| sP48_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12043,f9097]) ).
fof(f12068,plain,
( edge(cell1,cell100)
| cell100 = cell41
| sP49_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10307,f12045]) ).
fof(f12070,plain,
( edge(cell1,cell100)
| sP49_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12068,f9056]) ).
fof(f12090,plain,
( edge(cell1,cell100)
| cell100 = cell40
| sP50_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10315,f12070]) ).
fof(f12092,plain,
( edge(cell1,cell100)
| sP50_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12090,f9137]) ).
fof(f12116,plain,
( cell100 = cell39
| sP51_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f12092,f10323]) ).
fof(f12118,plain,
( sP51_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f12116,f9176]) ).
fof(f12153,plain,
( edge(cell1,cell100)
| cell100 = cell38
| sP52_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10331,f12118]) ).
fof(f12155,plain,
( edge(cell1,cell100)
| sP52_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12153,f9214]) ).
fof(f12161,plain,
( edge(cell1,cell100)
| cell100 = cell37
| sP53_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10339,f12155]) ).
fof(f12163,plain,
( edge(cell1,cell100)
| sP53_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12161,f9251]) ).
fof(f12195,plain,
( edge(cell1,cell100)
| cell100 = cell36
| sP54_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10347,f12163]) ).
fof(f12197,plain,
( edge(cell1,cell100)
| sP54_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12195,f9287]) ).
fof(f12203,plain,
( edge(cell1,cell100)
| cell100 = cell35
| sP55_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10355,f12197]) ).
fof(f12205,plain,
( edge(cell1,cell100)
| sP55_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12203,f9322]) ).
fof(f12240,plain,
( edge(cell1,cell100)
| cell100 = cell34
| sP56_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10363,f12205]) ).
fof(f12242,plain,
( edge(cell1,cell100)
| sP56_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12240,f9356]) ).
fof(f12262,plain,
( edge(cell1,cell100)
| cell100 = cell33
| sP57_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10371,f12242]) ).
fof(f12264,plain,
( edge(cell1,cell100)
| sP57_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12262,f9389]) ).
fof(f12288,plain,
( cell100 = cell32
| sP58_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f12264,f10379]) ).
fof(f12290,plain,
( sP58_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f12288,f9452]) ).
fof(f12325,plain,
( edge(cell1,cell100)
| cell100 = cell31
| sP59_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10387,f12290]) ).
fof(f12327,plain,
( edge(cell1,cell100)
| sP59_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12325,f9421]) ).
fof(f12333,plain,
( edge(cell1,cell100)
| cell100 = cell30
| sP60_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10395,f12327]) ).
fof(f12335,plain,
( edge(cell1,cell100)
| sP60_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12333,f9482]) ).
fof(f12367,plain,
( edge(cell1,cell100)
| cell100 = cell29
| sP61_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10403,f12335]) ).
fof(f12369,plain,
( edge(cell1,cell100)
| sP61_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12367,f9511]) ).
fof(f12375,plain,
( edge(cell1,cell100)
| cell100 = cell28
| sP62_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10411,f12369]) ).
fof(f12377,plain,
( edge(cell1,cell100)
| sP62_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12375,f9539]) ).
fof(f12409,plain,
( edge(cell1,cell100)
| cell100 = cell27
| sP63_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10419,f12377]) ).
fof(f12411,plain,
( edge(cell1,cell100)
| sP63_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12409,f9566]) ).
fof(f12417,plain,
( edge(cell1,cell100)
| cell100 = cell26
| sP64_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10427,f12411]) ).
fof(f12419,plain,
( edge(cell1,cell100)
| sP64_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12417,f9592]) ).
fof(f12452,plain,
( edge(cell1,cell100)
| cell100 = cell25
| sP65_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10435,f12419]) ).
fof(f12454,plain,
( edge(cell1,cell100)
| sP65_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12452,f9617]) ).
fof(f12471,plain,
( edge(cell1,cell100)
| cell100 = cell24
| sP66_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10443,f12454]) ).
fof(f12473,plain,
( edge(cell1,cell100)
| sP66_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12471,f9641]) ).
fof(f12496,plain,
( edge(cell1,cell100)
| cell100 = cell23
| sP67_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10451,f12473]) ).
fof(f12498,plain,
( edge(cell1,cell100)
| sP67_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12496,f9664]) ).
fof(f12518,plain,
( edge(cell1,cell100)
| cell100 = cell22
| sP68_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10459,f12498]) ).
fof(f12520,plain,
( edge(cell1,cell100)
| sP68_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12518,f9707]) ).
fof(f12544,plain,
( cell100 = cell21
| sP69_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f12520,f10467]) ).
fof(f12546,plain,
( sP69_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f12544,f9686]) ).
fof(f12581,plain,
( edge(cell1,cell100)
| cell100 = cell20
| sP70_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10475,f12546]) ).
fof(f12583,plain,
( edge(cell1,cell100)
| sP70_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12581,f9727]) ).
fof(f12589,plain,
( edge(cell1,cell100)
| cell100 = cell19
| sP71_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10483,f12583]) ).
fof(f12591,plain,
( edge(cell1,cell100)
| sP71_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12589,f9746]) ).
fof(f12623,plain,
( edge(cell1,cell100)
| cell100 = cell18
| sP72_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10491,f12591]) ).
fof(f12625,plain,
( edge(cell1,cell100)
| sP72_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12623,f9764]) ).
fof(f12631,plain,
( edge(cell1,cell100)
| cell100 = cell17
| sP73_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10499,f12625]) ).
fof(f12633,plain,
( edge(cell1,cell100)
| sP73_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12631,f9781]) ).
fof(f12665,plain,
( edge(cell1,cell100)
| cell100 = cell16
| sP74_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10507,f12633]) ).
fof(f12667,plain,
( edge(cell1,cell100)
| sP74_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12665,f9797]) ).
fof(f12673,plain,
( edge(cell1,cell100)
| cell100 = cell15
| sP75_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10515,f12667]) ).
fof(f12675,plain,
( edge(cell1,cell100)
| sP75_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12673,f9812]) ).
fof(f12707,plain,
( edge(cell1,cell100)
| cell100 = cell14
| sP76_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10523,f12675]) ).
fof(f12709,plain,
( edge(cell1,cell100)
| sP76_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12707,f9826]) ).
fof(f12715,plain,
( edge(cell1,cell100)
| cell100 = cell13
| sP77_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10531,f12709]) ).
fof(f12717,plain,
( edge(cell1,cell100)
| sP77_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12715,f9839]) ).
fof(f12750,plain,
( edge(cell1,cell100)
| cell100 = cell12
| sP78_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10539,f12717]) ).
fof(f12752,plain,
( edge(cell1,cell100)
| sP78_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12750,f9862]) ).
fof(f12769,plain,
( edge(cell1,cell100)
| cell100 = cell11
| sP79_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10547,f12752]) ).
fof(f12771,plain,
( edge(cell1,cell100)
| sP79_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12769,f9851]) ).
fof(f12794,plain,
( edge(cell1,cell100)
| cell100 = cell10
| sP80_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10555,f12771]) ).
fof(f12796,plain,
( edge(cell1,cell100)
| sP80_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12794,f9872]) ).
fof(f12816,plain,
( edge(cell1,cell100)
| cell100 = cell9
| sP81_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10563,f12796]) ).
fof(f12818,plain,
( edge(cell1,cell100)
| sP81_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12816,f9881]) ).
fof(f12842,plain,
( cell100 = cell8
| sP82_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f12818,f10571]) ).
fof(f12844,plain,
( sP82_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f12842,f9889]) ).
fof(f12879,plain,
( edge(cell1,cell100)
| cell100 = cell7
| sP83_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10579,f12844]) ).
fof(f12881,plain,
( edge(cell1,cell100)
| sP83_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12879,f9896]) ).
fof(f12887,plain,
( edge(cell1,cell100)
| cell100 = cell6
| sP84_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10587,f12881]) ).
fof(f12889,plain,
( edge(cell1,cell100)
| sP84_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12887,f9902]) ).
fof(f12921,plain,
( edge(cell1,cell100)
| cell100 = cell5
| sP85_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10595,f12889]) ).
fof(f12923,plain,
( edge(cell1,cell100)
| sP85_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12921,f9907]) ).
fof(f12929,plain,
( edge(cell1,cell100)
| cell100 = cell4
| sP86_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10603,f12923]) ).
fof(f12931,plain,
( edge(cell1,cell100)
| sP86_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12929,f9911]) ).
fof(f12963,plain,
( edge(cell1,cell100)
| cell100 = cell3
| sP87_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10611,f12931]) ).
fof(f12965,plain,
( edge(cell1,cell100)
| sP87_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12963,f9914]) ).
fof(f12971,plain,
( edge(cell1,cell100)
| cell100 = cell2
| sP88_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10619,f12965]) ).
fof(f12973,plain,
( edge(cell1,cell100)
| sP88_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12971,f9916]) ).
fof(f13005,plain,
( edge(cell1,cell100)
| cell100 = cell1
| sP89_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10627,f12973]) ).
fof(f13007,plain,
( edge(cell1,cell100)
| sP89_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13005,f9917]) ).
fof(f13013,plain,
( edge(cell1,cell100)
| cell100 = cell99
| sP90_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10635,f13007]) ).
fof(f13015,plain,
( edge(cell1,cell100)
| sP90_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13013,f5066]) ).
fof(f13047,plain,
( edge(cell1,cell100)
| cell100 = cell98
| sP91_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10643,f13015]) ).
fof(f13049,plain,
( edge(cell1,cell100)
| sP91_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13047,f5164]) ).
fof(f13055,plain,
( edge(cell1,cell100)
| cell100 = cell97
| sP92_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10651,f13049]) ).
fof(f13057,plain,
( edge(cell1,cell100)
| sP92_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13055,f5261]) ).
fof(f13090,plain,
( edge(cell1,cell100)
| cell100 = cell96
| sP93_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10659,f13057]) ).
fof(f13092,plain,
( edge(cell1,cell100)
| sP93_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13090,f5357]) ).
fof(f13109,plain,
( edge(cell1,cell100)
| cell100 = cell95
| sP94_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10667,f13092]) ).
fof(f13111,plain,
( edge(cell1,cell100)
| sP94_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13109,f5452]) ).
fof(f13134,plain,
( edge(cell1,cell100)
| cell100 = cell94
| sP95_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10675,f13111]) ).
fof(f13136,plain,
( edge(cell1,cell100)
| sP95_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13134,f5546]) ).
fof(f13156,plain,
( edge(cell1,cell100)
| cell100 = cell93
| sP96_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10683,f13136]) ).
fof(f13158,plain,
( edge(cell1,cell100)
| sP96_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13156,f5639]) ).
fof(f13182,plain,
( cell100 = cell92
| sP97_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f13158,f10691]) ).
fof(f13184,plain,
( sP97_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f13182,f5822]) ).
fof(f13219,plain,
( edge(cell1,cell100)
| cell100 = cell91
| sP98_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10699,f13184]) ).
fof(f13221,plain,
( edge(cell1,cell100)
| sP98_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13219,f5731]) ).
fof(f13227,plain,
( edge(cell1,cell100)
| cell100 = cell89
| sP99_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10707,f13221]) ).
fof(f13229,plain,
( edge(cell1,cell100)
| sP99_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13227,f6001]) ).
fof(f13261,plain,
( edge(cell1,cell100)
| cell100 = cell88
| sP100_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10715,f13229]) ).
fof(f13263,plain,
( edge(cell1,cell100)
| sP100_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13261,f6089]) ).
fof(f13269,plain,
( edge(cell1,cell100)
| cell100 = cell87
| sP101_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10723,f13263]) ).
fof(f13271,plain,
( edge(cell1,cell100)
| sP101_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13269,f6176]) ).
fof(f13303,plain,
( edge(cell1,cell100)
| cell100 = cell86
| sP102_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10731,f13271]) ).
fof(f13305,plain,
( edge(cell1,cell100)
| sP102_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13303,f6262]) ).
fof(f13311,plain,
( edge(cell1,cell100)
| cell100 = cell85
| sP103_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10739,f13305]) ).
fof(f13313,plain,
( edge(cell1,cell100)
| sP103_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13311,f6347]) ).
fof(f13345,plain,
( edge(cell1,cell100)
| cell100 = cell84
| sP104_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10747,f13313]) ).
fof(f13347,plain,
( edge(cell1,cell100)
| sP104_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13345,f6431]) ).
fof(f13353,plain,
( edge(cell1,cell100)
| cell100 = cell83
| sP105_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10755,f13347]) ).
fof(f13355,plain,
( edge(cell1,cell100)
| sP105_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13353,f6514]) ).
fof(f13387,plain,
( edge(cell1,cell100)
| cell100 = cell82
| sP106_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10763,f13355]) ).
fof(f13389,plain,
( edge(cell1,cell100)
| sP106_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13387,f6677]) ).
fof(f13395,plain,
( edge(cell1,cell100)
| cell100 = cell81
| sP107_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10771,f13389]) ).
fof(f13397,plain,
( edge(cell1,cell100)
| sP107_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13395,f6596]) ).
fof(f13429,plain,
( edge(cell1,cell100)
| cell100 = cell79
| sP108_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10779,f13397]) ).
fof(f13431,plain,
( edge(cell1,cell100)
| sP108_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13429,f6836]) ).
fof(f13437,plain,
( edge(cell1,cell100)
| cell100 = cell78
| sP109_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10787,f13431]) ).
fof(f13439,plain,
( edge(cell1,cell100)
| sP109_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13437,f6914]) ).
fof(f13471,plain,
( edge(cell1,cell100)
| cell100 = cell77
| sP110_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10795,f13439]) ).
fof(f13473,plain,
( edge(cell1,cell100)
| sP110_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13471,f6991]) ).
fof(f13479,plain,
( edge(cell1,cell100)
| cell100 = cell76
| sP111_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10803,f13473]) ).
fof(f13481,plain,
( edge(cell1,cell100)
| sP111_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13479,f7067]) ).
fof(f13510,plain,
( edge(cell1,cell100)
| cell100 = cell75
| sP112_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10811,f13481]) ).
fof(f13512,plain,
( edge(cell1,cell100)
| sP112_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13510,f7142]) ).
fof(f13518,plain,
( edge(cell1,cell100)
| cell100 = cell74
| sP113_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10819,f13512]) ).
fof(f13520,plain,
( edge(cell1,cell100)
| sP113_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13518,f7216]) ).
fof(f13552,plain,
( edge(cell1,cell100)
| cell100 = cell73
| sP114_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10827,f13520]) ).
fof(f13554,plain,
( edge(cell1,cell100)
| sP114_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13552,f7289]) ).
fof(f13560,plain,
( edge(cell1,cell100)
| cell100 = cell72
| sP115_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10835,f13554]) ).
fof(f13562,plain,
( edge(cell1,cell100)
| sP115_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13560,f7432]) ).
fof(f13594,plain,
( edge(cell1,cell100)
| cell100 = cell71
| sP116_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10843,f13562]) ).
fof(f13596,plain,
( edge(cell1,cell100)
| sP116_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13594,f7361]) ).
fof(f13602,plain,
( edge(cell1,cell100)
| cell100 = cell69
| sP117_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10851,f13596]) ).
fof(f13604,plain,
( edge(cell1,cell100)
| sP117_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13602,f7571]) ).
fof(f13636,plain,
( edge(cell1,cell100)
| cell100 = cell68
| sP118_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10859,f13604]) ).
fof(f13638,plain,
( edge(cell1,cell100)
| sP118_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13636,f7639]) ).
fof(f13644,plain,
( edge(cell1,cell100)
| cell100 = cell67
| sP119_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10867,f13638]) ).
fof(f13646,plain,
( edge(cell1,cell100)
| sP119_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13644,f7706]) ).
fof(f13678,plain,
( edge(cell1,cell100)
| cell100 = cell66
| sP120_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10875,f13646]) ).
fof(f13680,plain,
( edge(cell1,cell100)
| sP120_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13678,f7772]) ).
fof(f13686,plain,
( edge(cell1,cell100)
| cell100 = cell65
| sP121_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10883,f13680]) ).
fof(f13688,plain,
( edge(cell1,cell100)
| sP121_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13686,f7837]) ).
fof(f13720,plain,
( edge(cell1,cell100)
| cell100 = cell64
| sP122_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10891,f13688]) ).
fof(f13722,plain,
( edge(cell1,cell100)
| sP122_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13720,f7901]) ).
fof(f13728,plain,
( edge(cell1,cell100)
| cell100 = cell63
| sP123_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10899,f13722]) ).
fof(f13730,plain,
( edge(cell1,cell100)
| sP123_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13728,f7964]) ).
fof(f13762,plain,
( edge(cell1,cell100)
| cell100 = cell62
| sP124_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10907,f13730]) ).
fof(f13764,plain,
( edge(cell1,cell100)
| sP124_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13762,f8087]) ).
fof(f13770,plain,
( edge(cell1,cell100)
| cell100 = cell61
| sP125_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10915,f13764]) ).
fof(f13772,plain,
( edge(cell1,cell100)
| sP125_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13770,f8026]) ).
fof(f13804,plain,
( edge(cell1,cell100)
| cell100 = cell59
| sP126_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10923,f13772]) ).
fof(f13806,plain,
( edge(cell1,cell100)
| sP126_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13804,f8206]) ).
fof(f13812,plain,
( edge(cell1,cell100)
| cell100 = cell58
| sP127_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10931,f13806]) ).
fof(f13814,plain,
( edge(cell1,cell100)
| sP127_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13812,f8264]) ).
fof(f13846,plain,
( edge(cell1,cell100)
| cell100 = cell57
| sP128_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10939,f13814]) ).
fof(f13848,plain,
( edge(cell1,cell100)
| sP128_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13846,f8321]) ).
fof(f13854,plain,
( edge(cell1,cell100)
| cell100 = cell56
| sP129_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10947,f13848]) ).
fof(f13856,plain,
( edge(cell1,cell100)
| sP129_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13854,f8377]) ).
fof(f13888,plain,
( edge(cell1,cell100)
| cell100 = cell55
| sP130_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10955,f13856]) ).
fof(f13890,plain,
( edge(cell1,cell100)
| sP130_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13888,f8432]) ).
fof(f13896,plain,
( edge(cell1,cell100)
| cell100 = cell54
| sP131_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10963,f13890]) ).
fof(f13898,plain,
( edge(cell1,cell100)
| sP131_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13896,f8486]) ).
fof(f13930,plain,
( edge(cell1,cell100)
| cell100 = cell53
| sP132_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10971,f13898]) ).
fof(f13932,plain,
( edge(cell1,cell100)
| sP132_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13930,f8539]) ).
fof(f13938,plain,
( edge(cell1,cell100)
| cell100 = cell52
| sP133_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10979,f13932]) ).
fof(f13940,plain,
( edge(cell1,cell100)
| sP133_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13938,f8642]) ).
fof(f13972,plain,
( edge(cell1,cell100)
| cell100 = cell51
| sP134_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10987,f13940]) ).
fof(f13974,plain,
( edge(cell1,cell100)
| sP134_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13972,f8591]) ).
fof(f13980,plain,
( edge(cell1,cell100)
| cell100 = cell49
| sP135_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f10995,f13974]) ).
fof(f13982,plain,
( edge(cell1,cell100)
| sP135_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13980,f8741]) ).
fof(f14015,plain,
( edge(cell1,cell100)
| cell100 = cell48
| sP136_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11003,f13982]) ).
fof(f14017,plain,
( edge(cell1,cell100)
| sP136_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14015,f8789]) ).
fof(f14034,plain,
( edge(cell1,cell100)
| cell100 = cell47
| sP137_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11011,f14017]) ).
fof(f14036,plain,
( edge(cell1,cell100)
| sP137_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14034,f8836]) ).
fof(f14059,plain,
( edge(cell1,cell100)
| cell100 = cell46
| sP138_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11019,f14036]) ).
fof(f14061,plain,
( edge(cell1,cell100)
| sP138_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14059,f8882]) ).
fof(f14081,plain,
( edge(cell1,cell100)
| cell100 = cell45
| sP139_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11027,f14061]) ).
fof(f14083,plain,
( edge(cell1,cell100)
| sP139_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14081,f8927]) ).
fof(f14107,plain,
( cell100 = cell44
| sP140_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f14083,f11035]) ).
fof(f14109,plain,
( sP140_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f14107,f8971]) ).
fof(f14144,plain,
( edge(cell1,cell100)
| cell100 = cell43
| sP141_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11043,f14109]) ).
fof(f14146,plain,
( edge(cell1,cell100)
| sP141_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14144,f9014]) ).
fof(f14152,plain,
( edge(cell1,cell100)
| cell100 = cell42
| sP142_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11051,f14146]) ).
fof(f14154,plain,
( edge(cell1,cell100)
| sP142_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14152,f9097]) ).
fof(f14186,plain,
( edge(cell1,cell100)
| cell100 = cell41
| sP143_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11059,f14154]) ).
fof(f14188,plain,
( edge(cell1,cell100)
| sP143_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14186,f9056]) ).
fof(f14194,plain,
( edge(cell1,cell100)
| cell100 = cell39
| sP144_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11067,f14188]) ).
fof(f14196,plain,
( edge(cell1,cell100)
| sP144_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14194,f9176]) ).
fof(f14228,plain,
( edge(cell1,cell100)
| cell100 = cell38
| sP145_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11075,f14196]) ).
fof(f14230,plain,
( edge(cell1,cell100)
| sP145_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14228,f9214]) ).
fof(f14236,plain,
( edge(cell1,cell100)
| cell100 = cell37
| sP146_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11083,f14230]) ).
fof(f14238,plain,
( edge(cell1,cell100)
| sP146_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14236,f9251]) ).
fof(f14270,plain,
( edge(cell1,cell100)
| cell100 = cell36
| sP147_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11091,f14238]) ).
fof(f14272,plain,
( edge(cell1,cell100)
| sP147_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14270,f9287]) ).
fof(f14278,plain,
( edge(cell1,cell100)
| cell100 = cell35
| sP148_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11099,f14272]) ).
fof(f14280,plain,
( edge(cell1,cell100)
| sP148_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14278,f9322]) ).
fof(f14312,plain,
( edge(cell1,cell100)
| cell100 = cell34
| sP149_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11107,f14280]) ).
fof(f14314,plain,
( edge(cell1,cell100)
| sP149_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14312,f9356]) ).
fof(f14320,plain,
( edge(cell1,cell100)
| cell100 = cell33
| sP150_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11115,f14314]) ).
fof(f14322,plain,
( edge(cell1,cell100)
| sP150_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14320,f9389]) ).
fof(f14354,plain,
( edge(cell1,cell100)
| cell100 = cell32
| sP151_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11123,f14322]) ).
fof(f14356,plain,
( edge(cell1,cell100)
| sP151_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14354,f9452]) ).
fof(f14362,plain,
( edge(cell1,cell100)
| cell100 = cell31
| sP152_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11131,f14356]) ).
fof(f14364,plain,
( edge(cell1,cell100)
| sP152_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14362,f9421]) ).
fof(f14396,plain,
( edge(cell1,cell100)
| cell100 = cell29
| sP153_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11139,f14364]) ).
fof(f14398,plain,
( edge(cell1,cell100)
| sP153_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14396,f9511]) ).
fof(f14404,plain,
( edge(cell1,cell100)
| cell100 = cell28
| sP154_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11147,f14398]) ).
fof(f14406,plain,
( edge(cell1,cell100)
| sP154_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14404,f9539]) ).
fof(f14438,plain,
( edge(cell1,cell100)
| cell100 = cell27
| sP155_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11155,f14406]) ).
fof(f14440,plain,
( edge(cell1,cell100)
| sP155_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14438,f9566]) ).
fof(f14446,plain,
( edge(cell1,cell100)
| cell100 = cell26
| sP156_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11163,f14440]) ).
fof(f14448,plain,
( edge(cell1,cell100)
| sP156_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14446,f9592]) ).
fof(f14480,plain,
( edge(cell1,cell100)
| cell100 = cell25
| sP157_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11171,f14448]) ).
fof(f14482,plain,
( edge(cell1,cell100)
| sP157_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14480,f9617]) ).
fof(f14488,plain,
( edge(cell1,cell100)
| cell100 = cell24
| sP158_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11179,f14482]) ).
fof(f14490,plain,
( edge(cell1,cell100)
| sP158_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14488,f9641]) ).
fof(f14522,plain,
( edge(cell1,cell100)
| cell100 = cell23
| sP159_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11187,f14490]) ).
fof(f14524,plain,
( edge(cell1,cell100)
| sP159_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14522,f9664]) ).
fof(f14530,plain,
( edge(cell1,cell100)
| cell100 = cell22
| sP160_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11195,f14524]) ).
fof(f14532,plain,
( edge(cell1,cell100)
| sP160_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14530,f9707]) ).
fof(f14564,plain,
( edge(cell1,cell100)
| cell100 = cell21
| sP161_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11203,f14532]) ).
fof(f14566,plain,
( edge(cell1,cell100)
| sP161_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14564,f9686]) ).
fof(f14572,plain,
( edge(cell1,cell100)
| cell100 = cell19
| sP162_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11211,f14566]) ).
fof(f14574,plain,
( edge(cell1,cell100)
| sP162_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14572,f9746]) ).
fof(f14607,plain,
( edge(cell1,cell100)
| cell100 = cell18
| sP163_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11219,f14574]) ).
fof(f14609,plain,
( edge(cell1,cell100)
| sP163_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14607,f9764]) ).
fof(f14626,plain,
( edge(cell1,cell100)
| cell100 = cell17
| sP164_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11227,f14609]) ).
fof(f14628,plain,
( edge(cell1,cell100)
| sP164_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14626,f9781]) ).
fof(f14651,plain,
( edge(cell1,cell100)
| cell100 = cell16
| sP165_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11235,f14628]) ).
fof(f14653,plain,
( edge(cell1,cell100)
| sP165_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14651,f9797]) ).
fof(f14673,plain,
( edge(cell1,cell100)
| cell100 = cell15
| sP166_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11243,f14653]) ).
fof(f14675,plain,
( edge(cell1,cell100)
| sP166_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14673,f9812]) ).
fof(f14699,plain,
( cell100 = cell14
| sP167_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(resolution,[status(thm)],[f14675,f11251]) ).
fof(f14701,plain,
( sP167_prd(cell100,cell1)
| edge(cell1,cell100) ),
inference(forward_subsumption_resolution,[status(thm)],[f14699,f9826]) ).
fof(f14736,plain,
( edge(cell1,cell100)
| cell100 = cell13
| sP168_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11259,f14701]) ).
fof(f14738,plain,
( edge(cell1,cell100)
| sP168_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14736,f9839]) ).
fof(f14744,plain,
( edge(cell1,cell100)
| cell100 = cell12
| sP169_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11267,f14738]) ).
fof(f14746,plain,
( edge(cell1,cell100)
| sP169_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14744,f9862]) ).
fof(f14778,plain,
( edge(cell1,cell100)
| cell100 = cell11
| sP170_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11275,f14746]) ).
fof(f14780,plain,
( edge(cell1,cell100)
| sP170_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14778,f9851]) ).
fof(f14786,plain,
( edge(cell1,cell100)
| cell100 = cell9
| sP171_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11283,f14780]) ).
fof(f14788,plain,
( edge(cell1,cell100)
| sP171_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14786,f9881]) ).
fof(f14820,plain,
( edge(cell1,cell100)
| cell100 = cell8
| sP172_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11291,f14788]) ).
fof(f14822,plain,
( edge(cell1,cell100)
| sP172_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14820,f9889]) ).
fof(f14828,plain,
( edge(cell1,cell100)
| cell100 = cell7
| sP173_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11299,f14822]) ).
fof(f14830,plain,
( edge(cell1,cell100)
| sP173_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14828,f9896]) ).
fof(f14862,plain,
( edge(cell1,cell100)
| cell100 = cell6
| sP174_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11307,f14830]) ).
fof(f14864,plain,
( edge(cell1,cell100)
| sP174_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14862,f9902]) ).
fof(f14870,plain,
( edge(cell1,cell100)
| cell100 = cell5
| sP175_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11315,f14864]) ).
fof(f14872,plain,
( edge(cell1,cell100)
| sP175_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14870,f9907]) ).
fof(f14904,plain,
( edge(cell1,cell100)
| cell100 = cell4
| sP176_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11323,f14872]) ).
fof(f14906,plain,
( edge(cell1,cell100)
| sP176_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14904,f9911]) ).
fof(f14912,plain,
( edge(cell1,cell100)
| cell100 = cell3
| sP177_prd(cell100,cell1) ),
inference(resolution,[status(thm)],[f11331,f14906]) ).
fof(f14914,plain,
( edge(cell1,cell100)
| sP177_prd(cell100,cell1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14912,f9914]) ).
fof(f14947,plain,
( edge(cell1,cell100)
| cell100 = cell2
| cell100 = cell1 ),
inference(resolution,[status(thm)],[f11337,f14914]) ).
fof(f14950,plain,
( edge(cell1,cell100)
| cell100 = cell2 ),
inference(forward_subsumption_resolution,[status(thm)],[f14947,f9917]) ).
fof(f14959,plain,
edge(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14950,f9916]) ).
fof(f14961,plain,
( cell1 = cell90
| sP0_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14959,f4959]) ).
fof(f14964,plain,
sP0_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14961,f5911]) ).
fof(f14965,plain,
( cell100 = cell99
| sP1_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14964,f9924]) ).
fof(f14968,plain,
sP1_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14965,f5066]) ).
fof(f14970,plain,
( cell100 = cell98
| sP2_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14968,f9932]) ).
fof(f14973,plain,
sP2_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14970,f5164]) ).
fof(f14975,plain,
( cell100 = cell97
| sP3_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14973,f9940]) ).
fof(f14978,plain,
sP3_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14975,f5261]) ).
fof(f14980,plain,
( cell100 = cell96
| sP4_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14978,f9948]) ).
fof(f14983,plain,
sP4_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f14980,f5357]) ).
fof(f15011,plain,
( cell100 = cell95
| sP5_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f14983,f9956]) ).
fof(f15014,plain,
sP5_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15011,f5452]) ).
fof(f15016,plain,
( cell100 = cell94
| sP6_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15014,f9964]) ).
fof(f15019,plain,
sP6_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15016,f5546]) ).
fof(f15021,plain,
( cell100 = cell93
| sP7_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15019,f9972]) ).
fof(f15024,plain,
sP7_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15021,f5639]) ).
fof(f15026,plain,
( cell100 = cell92
| sP8_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15024,f9980]) ).
fof(f15029,plain,
sP8_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15026,f5822]) ).
fof(f15058,plain,
( cell100 = cell91
| sP9_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15029,f9988]) ).
fof(f15061,plain,
sP9_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15058,f5731]) ).
fof(f15063,plain,
( cell100 = cell90
| sP10_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15061,f9996]) ).
fof(f15066,plain,
sP10_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15063,f5912]) ).
fof(f15068,plain,
( cell100 = cell89
| sP11_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15066,f10004]) ).
fof(f15071,plain,
sP11_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15068,f6001]) ).
fof(f15073,plain,
( cell100 = cell88
| sP12_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15071,f10012]) ).
fof(f15076,plain,
sP12_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15073,f6089]) ).
fof(f15078,plain,
( cell100 = cell87
| sP13_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15076,f10020]) ).
fof(f15081,plain,
sP13_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15078,f6176]) ).
fof(f15110,plain,
( cell100 = cell86
| sP14_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15081,f10028]) ).
fof(f15113,plain,
sP14_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15110,f6262]) ).
fof(f15115,plain,
( cell100 = cell85
| sP15_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15113,f10036]) ).
fof(f15118,plain,
sP15_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15115,f6347]) ).
fof(f15120,plain,
( cell100 = cell84
| sP16_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15118,f10044]) ).
fof(f15123,plain,
sP16_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15120,f6431]) ).
fof(f15125,plain,
( cell100 = cell83
| sP17_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15123,f10052]) ).
fof(f15128,plain,
sP17_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15125,f6514]) ).
fof(f15157,plain,
( cell100 = cell82
| sP18_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15128,f10060]) ).
fof(f15160,plain,
sP18_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15157,f6677]) ).
fof(f15162,plain,
( cell100 = cell81
| sP19_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15160,f10068]) ).
fof(f15165,plain,
sP19_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15162,f6596]) ).
fof(f15167,plain,
( cell100 = cell80
| sP20_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15165,f10076]) ).
fof(f15170,plain,
sP20_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15167,f6757]) ).
fof(f15172,plain,
( cell100 = cell79
| sP21_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15170,f10084]) ).
fof(f15175,plain,
sP21_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15172,f6836]) ).
fof(f15177,plain,
( cell100 = cell78
| sP22_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15175,f10092]) ).
fof(f15180,plain,
sP22_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15177,f6914]) ).
fof(f15209,plain,
( cell100 = cell77
| sP23_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15180,f10100]) ).
fof(f15212,plain,
sP23_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15209,f6991]) ).
fof(f15214,plain,
( cell100 = cell76
| sP24_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15212,f10108]) ).
fof(f15217,plain,
sP24_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15214,f7067]) ).
fof(f15219,plain,
( cell100 = cell75
| sP25_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15217,f10116]) ).
fof(f15222,plain,
sP25_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15219,f7142]) ).
fof(f15224,plain,
( cell100 = cell74
| sP26_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15222,f10124]) ).
fof(f15227,plain,
sP26_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15224,f7216]) ).
fof(f15256,plain,
( cell100 = cell73
| sP27_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15227,f10132]) ).
fof(f15259,plain,
sP27_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15256,f7289]) ).
fof(f15261,plain,
( cell100 = cell72
| sP28_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15259,f10140]) ).
fof(f15264,plain,
sP28_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15261,f7432]) ).
fof(f15266,plain,
( cell100 = cell71
| sP29_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15264,f10148]) ).
fof(f15269,plain,
sP29_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15266,f7361]) ).
fof(f15271,plain,
( cell100 = cell70
| sP30_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15269,f10156]) ).
fof(f15274,plain,
sP30_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15271,f7502]) ).
fof(f15276,plain,
( cell100 = cell69
| sP31_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15274,f10164]) ).
fof(f15279,plain,
sP31_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15276,f7571]) ).
fof(f15308,plain,
( cell100 = cell68
| sP32_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15279,f10172]) ).
fof(f15311,plain,
sP32_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15308,f7639]) ).
fof(f15313,plain,
( cell100 = cell67
| sP33_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15311,f10180]) ).
fof(f15316,plain,
sP33_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15313,f7706]) ).
fof(f15318,plain,
( cell100 = cell66
| sP34_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15316,f10188]) ).
fof(f15321,plain,
sP34_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15318,f7772]) ).
fof(f15323,plain,
( cell100 = cell65
| sP35_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15321,f10196]) ).
fof(f15326,plain,
sP35_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15323,f7837]) ).
fof(f15355,plain,
( cell100 = cell64
| sP36_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15326,f10204]) ).
fof(f15358,plain,
sP36_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15355,f7901]) ).
fof(f15360,plain,
( cell100 = cell63
| sP37_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15358,f10212]) ).
fof(f15363,plain,
sP37_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15360,f7964]) ).
fof(f15365,plain,
( cell100 = cell62
| sP38_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15363,f10220]) ).
fof(f15368,plain,
sP38_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15365,f8087]) ).
fof(f15370,plain,
( cell100 = cell61
| sP39_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15368,f10228]) ).
fof(f15373,plain,
sP39_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15370,f8026]) ).
fof(f15375,plain,
( cell100 = cell60
| sP40_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15373,f10236]) ).
fof(f15378,plain,
sP40_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15375,f8147]) ).
fof(f15407,plain,
( cell100 = cell59
| sP41_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15378,f10244]) ).
fof(f15410,plain,
sP41_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15407,f8206]) ).
fof(f15412,plain,
( cell100 = cell58
| sP42_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15410,f10252]) ).
fof(f15415,plain,
sP42_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15412,f8264]) ).
fof(f15417,plain,
( cell100 = cell57
| sP43_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15415,f10260]) ).
fof(f15420,plain,
sP43_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15417,f8321]) ).
fof(f15422,plain,
( cell100 = cell56
| sP44_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15420,f10268]) ).
fof(f15425,plain,
sP44_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15422,f8377]) ).
fof(f15454,plain,
( cell100 = cell55
| sP45_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15425,f10276]) ).
fof(f15457,plain,
sP45_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15454,f8432]) ).
fof(f15459,plain,
( cell100 = cell54
| sP46_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15457,f10284]) ).
fof(f15462,plain,
sP46_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15459,f8486]) ).
fof(f15464,plain,
( cell100 = cell53
| sP47_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15462,f10292]) ).
fof(f15467,plain,
sP47_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15464,f8539]) ).
fof(f15469,plain,
( cell100 = cell52
| sP48_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15467,f10300]) ).
fof(f15472,plain,
sP48_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15469,f8642]) ).
fof(f15474,plain,
( cell100 = cell51
| sP49_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15472,f10308]) ).
fof(f15477,plain,
sP49_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15474,f8591]) ).
fof(f15507,plain,
( cell100 = cell50
| sP50_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15477,f10316]) ).
fof(f15510,plain,
sP50_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15507,f8692]) ).
fof(f15514,plain,
( cell100 = cell49
| sP51_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15510,f10324]) ).
fof(f15517,plain,
sP51_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15514,f8741]) ).
fof(f15519,plain,
( cell100 = cell48
| sP52_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15517,f10332]) ).
fof(f15522,plain,
sP52_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15519,f8789]) ).
fof(f15551,plain,
( cell100 = cell47
| sP53_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15522,f10340]) ).
fof(f15554,plain,
sP53_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15551,f8836]) ).
fof(f15556,plain,
( cell100 = cell46
| sP54_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15554,f10348]) ).
fof(f15559,plain,
sP54_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15556,f8882]) ).
fof(f15561,plain,
( cell100 = cell45
| sP55_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15559,f10356]) ).
fof(f15564,plain,
sP55_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15561,f8927]) ).
fof(f15566,plain,
( cell100 = cell44
| sP56_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15564,f10364]) ).
fof(f15569,plain,
sP56_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15566,f8971]) ).
fof(f15571,plain,
( cell100 = cell43
| sP57_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15569,f10372]) ).
fof(f15574,plain,
sP57_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15571,f9014]) ).
fof(f15603,plain,
( cell100 = cell42
| sP58_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15574,f10380]) ).
fof(f15606,plain,
sP58_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15603,f9097]) ).
fof(f15608,plain,
( cell100 = cell41
| sP59_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15606,f10388]) ).
fof(f15611,plain,
sP59_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15608,f9056]) ).
fof(f15613,plain,
( cell100 = cell40
| sP60_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15611,f10396]) ).
fof(f15616,plain,
sP60_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15613,f9137]) ).
fof(f15618,plain,
( cell100 = cell39
| sP61_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15616,f10404]) ).
fof(f15621,plain,
sP61_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15618,f9176]) ).
fof(f15650,plain,
( cell100 = cell38
| sP62_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15621,f10412]) ).
fof(f15653,plain,
sP62_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15650,f9214]) ).
fof(f15655,plain,
( cell100 = cell37
| sP63_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15653,f10420]) ).
fof(f15658,plain,
sP63_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15655,f9251]) ).
fof(f15660,plain,
( cell100 = cell36
| sP64_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15658,f10428]) ).
fof(f15663,plain,
sP64_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15660,f9287]) ).
fof(f15665,plain,
( cell100 = cell35
| sP65_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15663,f10436]) ).
fof(f15668,plain,
sP65_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15665,f9322]) ).
fof(f15670,plain,
( cell100 = cell34
| sP66_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15668,f10444]) ).
fof(f15673,plain,
sP66_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15670,f9356]) ).
fof(f15702,plain,
( cell100 = cell33
| sP67_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15673,f10452]) ).
fof(f15705,plain,
sP67_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15702,f9389]) ).
fof(f15707,plain,
( cell100 = cell32
| sP68_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15705,f10460]) ).
fof(f15710,plain,
sP68_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15707,f9452]) ).
fof(f15712,plain,
( cell100 = cell31
| sP69_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15710,f10468]) ).
fof(f15715,plain,
sP69_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15712,f9421]) ).
fof(f15717,plain,
( cell100 = cell30
| sP70_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15715,f10476]) ).
fof(f15720,plain,
sP70_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15717,f9482]) ).
fof(f15749,plain,
( cell100 = cell29
| sP71_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15720,f10484]) ).
fof(f15752,plain,
sP71_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15749,f9511]) ).
fof(f15754,plain,
( cell100 = cell28
| sP72_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15752,f10492]) ).
fof(f15757,plain,
sP72_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15754,f9539]) ).
fof(f15759,plain,
( cell100 = cell27
| sP73_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15757,f10500]) ).
fof(f15762,plain,
sP73_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15759,f9566]) ).
fof(f15764,plain,
( cell100 = cell26
| sP74_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15762,f10508]) ).
fof(f15767,plain,
sP74_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15764,f9592]) ).
fof(f15769,plain,
( cell100 = cell25
| sP75_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15767,f10516]) ).
fof(f15772,plain,
sP75_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15769,f9617]) ).
fof(f15801,plain,
( cell100 = cell24
| sP76_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15772,f10524]) ).
fof(f15804,plain,
sP76_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15801,f9641]) ).
fof(f15806,plain,
( cell100 = cell23
| sP77_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15804,f10532]) ).
fof(f15809,plain,
sP77_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15806,f9664]) ).
fof(f15811,plain,
( cell100 = cell22
| sP78_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15809,f10540]) ).
fof(f15814,plain,
sP78_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15811,f9707]) ).
fof(f15816,plain,
( cell100 = cell21
| sP79_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15814,f10548]) ).
fof(f15819,plain,
sP79_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15816,f9686]) ).
fof(f15848,plain,
( cell100 = cell20
| sP80_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15819,f10556]) ).
fof(f15851,plain,
sP80_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15848,f9727]) ).
fof(f15853,plain,
( cell100 = cell19
| sP81_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15851,f10564]) ).
fof(f15856,plain,
sP81_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15853,f9746]) ).
fof(f15858,plain,
( cell100 = cell18
| sP82_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15856,f10572]) ).
fof(f15861,plain,
sP82_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15858,f9764]) ).
fof(f15863,plain,
( cell100 = cell17
| sP83_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15861,f10580]) ).
fof(f15866,plain,
sP83_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15863,f9781]) ).
fof(f15868,plain,
( cell100 = cell16
| sP84_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15866,f10588]) ).
fof(f15871,plain,
sP84_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15868,f9797]) ).
fof(f15900,plain,
( cell100 = cell15
| sP85_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15871,f10596]) ).
fof(f15903,plain,
sP85_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15900,f9812]) ).
fof(f15905,plain,
( cell100 = cell14
| sP86_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15903,f10604]) ).
fof(f15908,plain,
sP86_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15905,f9826]) ).
fof(f15910,plain,
( cell100 = cell13
| sP87_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15908,f10612]) ).
fof(f15913,plain,
sP87_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15910,f9839]) ).
fof(f15915,plain,
( cell100 = cell12
| sP88_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15913,f10620]) ).
fof(f15918,plain,
sP88_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15915,f9862]) ).
fof(f15947,plain,
( cell100 = cell11
| sP89_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15918,f10628]) ).
fof(f15950,plain,
sP89_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15947,f9851]) ).
fof(f15952,plain,
( cell1 = cell99
| sP90_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15950,f10635]) ).
fof(f15954,plain,
sP90_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15952,f5065]) ).
fof(f15955,plain,
( cell100 = cell99
| sP91_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15954,f10644]) ).
fof(f15958,plain,
sP91_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15955,f5066]) ).
fof(f15960,plain,
( cell100 = cell98
| sP92_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15958,f10652]) ).
fof(f15963,plain,
sP92_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15960,f5164]) ).
fof(f15965,plain,
( cell100 = cell97
| sP93_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15963,f10660]) ).
fof(f15968,plain,
sP93_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15965,f5261]) ).
fof(f15970,plain,
( cell100 = cell96
| sP94_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15968,f10668]) ).
fof(f15973,plain,
sP94_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f15970,f5357]) ).
fof(f16002,plain,
( cell100 = cell95
| sP95_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f15973,f10676]) ).
fof(f16005,plain,
sP95_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16002,f5452]) ).
fof(f16007,plain,
( cell100 = cell94
| sP96_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16005,f10684]) ).
fof(f16010,plain,
sP96_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16007,f5546]) ).
fof(f16012,plain,
( cell100 = cell93
| sP97_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16010,f10692]) ).
fof(f16015,plain,
sP97_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16012,f5639]) ).
fof(f16017,plain,
( cell100 = cell92
| sP98_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16015,f10700]) ).
fof(f16020,plain,
sP98_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16017,f5822]) ).
fof(f16049,plain,
( cell100 = cell90
| sP99_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16020,f10708]) ).
fof(f16052,plain,
sP99_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16049,f5912]) ).
fof(f16054,plain,
( cell100 = cell89
| sP100_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16052,f10716]) ).
fof(f16057,plain,
sP100_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16054,f6001]) ).
fof(f16059,plain,
( cell100 = cell88
| sP101_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16057,f10724]) ).
fof(f16062,plain,
sP101_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16059,f6089]) ).
fof(f16064,plain,
( cell100 = cell87
| sP102_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16062,f10732]) ).
fof(f16067,plain,
sP102_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16064,f6176]) ).
fof(f16069,plain,
( cell100 = cell86
| sP103_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16067,f10740]) ).
fof(f16072,plain,
sP103_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16069,f6262]) ).
fof(f16101,plain,
( cell100 = cell85
| sP104_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16072,f10748]) ).
fof(f16104,plain,
sP104_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16101,f6347]) ).
fof(f16106,plain,
( cell100 = cell84
| sP105_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16104,f10756]) ).
fof(f16109,plain,
sP105_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16106,f6431]) ).
fof(f16111,plain,
( cell100 = cell83
| sP106_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16109,f10764]) ).
fof(f16114,plain,
sP106_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16111,f6514]) ).
fof(f16116,plain,
( cell100 = cell82
| sP107_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16114,f10772]) ).
fof(f16119,plain,
sP107_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16116,f6677]) ).
fof(f16148,plain,
( cell100 = cell80
| sP108_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16119,f10780]) ).
fof(f16151,plain,
sP108_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16148,f6757]) ).
fof(f16153,plain,
( cell100 = cell79
| sP109_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16151,f10788]) ).
fof(f16156,plain,
sP109_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16153,f6836]) ).
fof(f16158,plain,
( cell100 = cell78
| sP110_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16156,f10796]) ).
fof(f16161,plain,
sP110_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16158,f6914]) ).
fof(f16163,plain,
( cell100 = cell77
| sP111_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16161,f10804]) ).
fof(f16166,plain,
sP111_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16163,f6991]) ).
fof(f16168,plain,
( cell100 = cell76
| sP112_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16166,f10812]) ).
fof(f16171,plain,
sP112_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16168,f7067]) ).
fof(f16200,plain,
( cell100 = cell75
| sP113_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16171,f10820]) ).
fof(f16203,plain,
sP113_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16200,f7142]) ).
fof(f16205,plain,
( cell100 = cell74
| sP114_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16203,f10828]) ).
fof(f16208,plain,
sP114_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16205,f7216]) ).
fof(f16210,plain,
( cell100 = cell73
| sP115_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16208,f10836]) ).
fof(f16213,plain,
sP115_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16210,f7289]) ).
fof(f16215,plain,
( cell100 = cell72
| sP116_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16213,f10844]) ).
fof(f16218,plain,
sP116_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16215,f7432]) ).
fof(f16247,plain,
( cell100 = cell70
| sP117_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16218,f10852]) ).
fof(f16250,plain,
sP117_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16247,f7502]) ).
fof(f16252,plain,
( cell100 = cell69
| sP118_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16250,f10860]) ).
fof(f16255,plain,
sP118_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16252,f7571]) ).
fof(f16257,plain,
( cell100 = cell68
| sP119_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16255,f10868]) ).
fof(f16260,plain,
sP119_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16257,f7639]) ).
fof(f16262,plain,
( cell100 = cell67
| sP120_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16260,f10876]) ).
fof(f16265,plain,
sP120_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16262,f7706]) ).
fof(f16267,plain,
( cell100 = cell66
| sP121_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16265,f10884]) ).
fof(f16270,plain,
sP121_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16267,f7772]) ).
fof(f16299,plain,
( cell100 = cell65
| sP122_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16270,f10892]) ).
fof(f16302,plain,
sP122_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16299,f7837]) ).
fof(f16304,plain,
( cell100 = cell64
| sP123_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16302,f10900]) ).
fof(f16307,plain,
sP123_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16304,f7901]) ).
fof(f16309,plain,
( cell100 = cell63
| sP124_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16307,f10908]) ).
fof(f16312,plain,
sP124_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16309,f7964]) ).
fof(f16314,plain,
( cell100 = cell62
| sP125_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16312,f10916]) ).
fof(f16317,plain,
sP125_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16314,f8087]) ).
fof(f16346,plain,
( cell100 = cell60
| sP126_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16317,f10924]) ).
fof(f16349,plain,
sP126_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16346,f8147]) ).
fof(f16351,plain,
( cell100 = cell59
| sP127_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16349,f10932]) ).
fof(f16354,plain,
sP127_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16351,f8206]) ).
fof(f16356,plain,
( cell100 = cell58
| sP128_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16354,f10940]) ).
fof(f16359,plain,
sP128_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16356,f8264]) ).
fof(f16361,plain,
( cell100 = cell57
| sP129_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16359,f10948]) ).
fof(f16364,plain,
sP129_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16361,f8321]) ).
fof(f16366,plain,
( cell100 = cell56
| sP130_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16364,f10956]) ).
fof(f16369,plain,
sP130_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16366,f8377]) ).
fof(f16398,plain,
( cell100 = cell55
| sP131_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16369,f10964]) ).
fof(f16401,plain,
sP131_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16398,f8432]) ).
fof(f16403,plain,
( cell100 = cell54
| sP132_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16401,f10972]) ).
fof(f16406,plain,
sP132_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16403,f8486]) ).
fof(f16408,plain,
( cell100 = cell53
| sP133_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16406,f10980]) ).
fof(f16411,plain,
sP133_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16408,f8539]) ).
fof(f16413,plain,
( cell100 = cell52
| sP134_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16411,f10988]) ).
fof(f16416,plain,
sP134_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16413,f8642]) ).
fof(f16445,plain,
( cell100 = cell50
| sP135_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16416,f10996]) ).
fof(f16448,plain,
sP135_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16445,f8692]) ).
fof(f16450,plain,
( cell100 = cell49
| sP136_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16448,f11004]) ).
fof(f16453,plain,
sP136_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16450,f8741]) ).
fof(f16455,plain,
( cell100 = cell48
| sP137_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16453,f11012]) ).
fof(f16458,plain,
sP137_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16455,f8789]) ).
fof(f16460,plain,
( cell100 = cell47
| sP138_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16458,f11020]) ).
fof(f16463,plain,
sP138_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16460,f8836]) ).
fof(f16465,plain,
( cell100 = cell46
| sP139_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16463,f11028]) ).
fof(f16468,plain,
sP139_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16465,f8882]) ).
fof(f16498,plain,
( cell100 = cell45
| sP140_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16468,f11036]) ).
fof(f16501,plain,
sP140_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16498,f8927]) ).
fof(f16505,plain,
( cell100 = cell44
| sP141_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16501,f11044]) ).
fof(f16508,plain,
sP141_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16505,f8971]) ).
fof(f16510,plain,
( cell100 = cell43
| sP142_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16508,f11052]) ).
fof(f16513,plain,
sP142_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16510,f9014]) ).
fof(f16542,plain,
( cell100 = cell42
| sP143_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16513,f11060]) ).
fof(f16545,plain,
sP143_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16542,f9097]) ).
fof(f16547,plain,
( cell100 = cell40
| sP144_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16545,f11068]) ).
fof(f16550,plain,
sP144_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16547,f9137]) ).
fof(f16552,plain,
( cell100 = cell39
| sP145_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16550,f11076]) ).
fof(f16555,plain,
sP145_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16552,f9176]) ).
fof(f16557,plain,
( cell100 = cell38
| sP146_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16555,f11084]) ).
fof(f16560,plain,
sP146_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16557,f9214]) ).
fof(f16562,plain,
( cell100 = cell37
| sP147_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16560,f11092]) ).
fof(f16565,plain,
sP147_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16562,f9251]) ).
fof(f16594,plain,
( cell100 = cell36
| sP148_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16565,f11100]) ).
fof(f16597,plain,
sP148_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16594,f9287]) ).
fof(f16599,plain,
( cell100 = cell35
| sP149_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16597,f11108]) ).
fof(f16602,plain,
sP149_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16599,f9322]) ).
fof(f16604,plain,
( cell100 = cell34
| sP150_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16602,f11116]) ).
fof(f16607,plain,
sP150_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16604,f9356]) ).
fof(f16609,plain,
( cell100 = cell33
| sP151_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16607,f11124]) ).
fof(f16612,plain,
sP151_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16609,f9389]) ).
fof(f16641,plain,
( cell100 = cell32
| sP152_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16612,f11132]) ).
fof(f16644,plain,
sP152_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16641,f9452]) ).
fof(f16646,plain,
( cell100 = cell30
| sP153_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16644,f11140]) ).
fof(f16649,plain,
sP153_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16646,f9482]) ).
fof(f16651,plain,
( cell100 = cell29
| sP154_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16649,f11148]) ).
fof(f16654,plain,
sP154_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16651,f9511]) ).
fof(f16656,plain,
( cell100 = cell28
| sP155_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16654,f11156]) ).
fof(f16659,plain,
sP155_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16656,f9539]) ).
fof(f16661,plain,
( cell100 = cell27
| sP156_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16659,f11164]) ).
fof(f16664,plain,
sP156_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16661,f9566]) ).
fof(f16693,plain,
( cell100 = cell26
| sP157_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16664,f11172]) ).
fof(f16696,plain,
sP157_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16693,f9592]) ).
fof(f16698,plain,
( cell100 = cell25
| sP158_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16696,f11180]) ).
fof(f16701,plain,
sP158_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16698,f9617]) ).
fof(f16703,plain,
( cell100 = cell24
| sP159_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16701,f11188]) ).
fof(f16706,plain,
sP159_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16703,f9641]) ).
fof(f16708,plain,
( cell100 = cell23
| sP160_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16706,f11196]) ).
fof(f16711,plain,
sP160_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16708,f9664]) ).
fof(f16740,plain,
( cell100 = cell22
| sP161_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16711,f11204]) ).
fof(f16743,plain,
sP161_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16740,f9707]) ).
fof(f16745,plain,
( cell100 = cell20
| sP162_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16743,f11212]) ).
fof(f16748,plain,
sP162_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16745,f9727]) ).
fof(f16750,plain,
( cell100 = cell19
| sP163_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16748,f11220]) ).
fof(f16753,plain,
sP163_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16750,f9746]) ).
fof(f16755,plain,
( cell100 = cell18
| sP164_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16753,f11228]) ).
fof(f16758,plain,
sP164_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16755,f9764]) ).
fof(f16760,plain,
( cell100 = cell17
| sP165_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16758,f11236]) ).
fof(f16763,plain,
sP165_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16760,f9781]) ).
fof(f16792,plain,
( cell100 = cell16
| sP166_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16763,f11244]) ).
fof(f16795,plain,
sP166_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16792,f9797]) ).
fof(f16797,plain,
( cell100 = cell15
| sP167_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16795,f11252]) ).
fof(f16800,plain,
sP167_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16797,f9812]) ).
fof(f16802,plain,
( cell100 = cell14
| sP168_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16800,f11260]) ).
fof(f16805,plain,
sP168_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16802,f9826]) ).
fof(f16807,plain,
( cell100 = cell13
| sP169_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16805,f11268]) ).
fof(f16810,plain,
sP169_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16807,f9839]) ).
fof(f16839,plain,
( cell100 = cell12
| sP170_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16810,f11276]) ).
fof(f16842,plain,
sP170_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16839,f9862]) ).
fof(f16844,plain,
( cell100 = cell10
| sP171_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16842,f11284]) ).
fof(f16847,plain,
sP171_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16844,f9872]) ).
fof(f16849,plain,
( cell100 = cell9
| sP172_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16847,f11292]) ).
fof(f16852,plain,
sP172_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16849,f9881]) ).
fof(f16854,plain,
( cell100 = cell8
| sP173_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16852,f11300]) ).
fof(f16857,plain,
sP173_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16854,f9889]) ).
fof(f16859,plain,
( cell100 = cell7
| sP174_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16857,f11308]) ).
fof(f16862,plain,
sP174_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16859,f9896]) ).
fof(f16891,plain,
( cell100 = cell6
| sP175_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16862,f11316]) ).
fof(f16894,plain,
sP175_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16891,f9902]) ).
fof(f16896,plain,
( cell100 = cell5
| sP176_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16894,f11324]) ).
fof(f16899,plain,
sP176_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16896,f9907]) ).
fof(f16901,plain,
( cell100 = cell4
| sP177_prd(cell1,cell100) ),
inference(resolution,[status(thm)],[f16899,f11332]) ).
fof(f16904,plain,
sP177_prd(cell1,cell100),
inference(forward_subsumption_resolution,[status(thm)],[f16901,f9911]) ).
fof(f16906,plain,
( cell100 = cell3
| cell100 = cell2 ),
inference(resolution,[status(thm)],[f16904,f11340]) ).
fof(f16911,plain,
cell100 = cell3,
inference(forward_subsumption_resolution,[status(thm)],[f16906,f9916]) ).
fof(f16913,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16911,f9914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ074+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.46 % Computer : n006.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Mon Sep 21 03:49:48 UTC 2026
% 0.18/5.47 % CPUTime :
% 0.24/5.72 % Drodi V4.1.1
% 0.24/6.50 % Refutation found
% 0.24/6.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/6.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.88/6.60 % Elapsed time: 1.123981 seconds
% 5.88/6.60 % CPU time: 6.356744 seconds
% 5.88/6.60 % Total memory used: 340.195 MB
% 5.88/6.60 % Net memory used: 339.428 MB
%------------------------------------------------------------------------------