%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:23:57 EDT 2022

% Result   : Timeout 300.06s 300.46s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Wed Jun 15 08:46:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.19/1.58  *** allocated 10000 integers for termspace/termends
% 1.19/1.58  *** allocated 10000 integers for clauses
% 1.19/1.58  *** allocated 10000 integers for justifications
% 1.19/1.58  *** allocated 15000 integers for termspace/termends
% 1.19/1.58  *** allocated 22500 integers for termspace/termends
% 1.19/1.58  *** allocated 33750 integers for termspace/termends
% 1.19/1.58  *** allocated 50625 integers for termspace/termends
% 1.19/1.58  Bliksem 1.12
% 1.19/1.58  
% 1.19/1.58  
% 1.19/1.58  Automatic Strategy Selection
% 1.19/1.58  
% 1.19/1.58  Clauses:
% 1.19/1.58  [
% 1.19/1.58     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.19/1.58    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.19/1.58     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.19/1.58    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 1.19/1.58    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 1.19/1.58    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 1.19/1.58    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.19/1.58     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.19/1.58     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.19/1.58    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.19/1.58    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.19/1.58    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 1.19/1.58    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 1.19/1.58    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.58     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.19/1.58    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.19/1.58    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.19/1.58    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.19/1.58    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.19/1.58    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.19/1.58    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.19/1.58    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.58     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.19/1.58    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.19/1.58    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.19/1.58    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.19/1.58    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.58     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.19/1.58    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 1.19/1.58    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 1.19/1.58    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 1.19/1.58    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.19/1.58    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.19/1.58    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 1.19/1.58    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.19/1.58    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 1.19/1.58    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.19/1.58     ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 1.19/1.58    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.19/1.58    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.19/1.58    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.19/1.58    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.19/1.58    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 1.19/1.58    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.19/1.58    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 1.19/1.58    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.19/1.58    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 1.19/1.58    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 1.19/1.58    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 1.19/1.58    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.19/1.58    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.19/1.58    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.19/1.58    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.19/1.58    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 1.19/1.58    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.19/1.58    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.19/1.58    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.19/1.58    , 'tc_set'( Y ) ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.19/1.58     ) ), X, 'tc_nat' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.19/1.58     ) ), Y, 'tc_nat' ) ],
% 1.19/1.58     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 1.19/1.58    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.19/1.58     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.19/1.58    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.19/1.58    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.19/1.58    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.19/1.58     ) ) ],
% 1.19/1.58     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.19/1.58     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.19/1.58    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.19/1.58     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 1.19/1.58    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 1.19/1.58    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.19/1.58     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 1.19/1.58    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.19/1.58    'tc_nat' ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.19/1.58    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 1.19/1.58    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 1.19/1.58    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.19/1.58    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 1.19/1.58    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.19/1.58    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 1.19/1.58    'tc_prod'( Z, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.19/1.58    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 1.19/1.58    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 1.19/1.58    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.19/1.58    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 1.19/1.58    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.19/1.58    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.19/1.58    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 1.19/1.58    'tc_prod'( T, T ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.19/1.58    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.19/1.58    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.19/1.58    'c_List_Olist_ONil' ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.19/1.58    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.19/1.58    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.19/1.58    'c_List_Olist_ONil' ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.19/1.58    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.19/1.58    'tc_List_Olist'( Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.19/1.58    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 1.19/1.58    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 1.19/1.58    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 1.19/1.58    Y ) ) ],
% 1.19/1.58     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.19/1.58    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 1.19/1.58    Y ) ) ],
% 1.19/1.58     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.19/1.58    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.19/1.58     ) ) ],
% 1.19/1.58     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.19/1.58     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.19/1.58     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.19/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.19/1.58    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 1.19/1.58    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.19/1.58    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 1.19/1.58    T, U ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 1.19/1.58    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 1.19/1.58    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.19/1.58    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.19/1.58    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 1.19/1.58    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.19/1.58    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 1.19/1.58    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.19/1.58    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.19/1.58    , Z, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 1.19/1.58    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 1.19/1.58    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.19/1.58    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 1.19/1.58    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.19/1.58    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.19/1.58    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.19/1.58    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.19/1.58    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 1.19/1.58    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.19/1.58    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 1.19/1.58    T ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.19/1.58    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.19/1.58    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.19/1.58     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 1.19/1.58    Z ), Y, 'tc_set'( Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.19/1.58    'c_Inter'( Y, Z ), Z ) ],
% 1.19/1.58     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.19/1.58    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 1.19/1.58    X, Y, Z ), Z ) ],
% 1.19/1.58     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.19/1.58    'tc_set'( Z ) ) ) ],
% 1.19/1.58     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 1.19/1.58    Z ) ) ],
% 1.19/1.58     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 1.19/1.58    Z ) ), =( X, Y ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.19/1.58     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.19/1.58     ) ) ), =( X, Z ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 1.19/1.58    'c_in'( X, T, Z ) ],
% 1.19/1.58     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.19/1.58    , 'tc_set'( Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 1.19/1.58    X, Y, 'tc_set'( Z ) ) ],
% 1.19/1.58     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.19/1.58    'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.19/1.58     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 1.19/1.58    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 1.19/1.58    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.19/1.58    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 1.19/1.58    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.19/1.58    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 1.19/1.58    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.19/1.58    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 1.19/1.58    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.19/1.58     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.19/1.58    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 1.19/1.58    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.19/1.58     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 1.19/1.58    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.19/1.58     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.19/1.58     ), 'tc_prod'( Y, Y ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.19/1.58    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 1.19/1.58    'tc_prod'( Z, Z ) ) ],
% 1.19/1.58     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.19/1.58    , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 1.19/1.58    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.19/1.58     [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 1.19/1.58     [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ), 
% 1.19/1.58    'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 1.19/1.58    , 'tc_prod'( T, Y ) ) ],
% 1.19/1.58     [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 1.19/1.58    , 'tc_nat' ) ],
% 1.19/1.58     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 1.19/1.58    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 1.19/1.58    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~( 
% 1.19/1.58    'class_Finite__Set_Ofinite'( X ) ) ],
% 1.19/1.58     [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 1.19/1.58     ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 1.19/1.58     ) ],
% 1.19/1.58     [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 1.19/1.58     ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.19/1.58     ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 1.19/1.58    'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.19/1.58    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 1.19/1.58     [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.19/1.58     ) ],
% 1.19/1.58     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 1.19/1.58    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.19/1.58     ],
% 1.19/1.58     [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 1.19/1.58     [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 1.19/1.58     [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 1.19/1.58    'class_Finite__Set_Ofinite'( X ) ) ],
% 1.19/1.58     [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 1.19/1.58     [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 1.19/1.58    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.58    , 'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.19/1.58    'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.19/1.58     ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.19/1.58    'class_HOL_Oinverse'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oidom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.19/1.58    ,
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ofield'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_HOL_Oinverse'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oidom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.19/1.58     ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oidom'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'( 
% 1.19/1.58    X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Olorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_HOL_Otimes'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_HOL_Ozero'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_HOL_Oplus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oorder'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Orderings_Oord'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_HOL_Ominus'( X ) ],
% 1.19/1.58     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.58    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Oplus'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Ozero'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oord'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Otimes'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 1.19/1.59    X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 1.19/1.59    X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oord'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 1.19/1.59    X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 1.19/1.59    X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_Orderings_Oord'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Otimes'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Oplus'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_HOL_Ozero'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Oring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Otimes'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Oplus'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Ozero'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Oone'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Otimes'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Ozero'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_HOL_Oplus'( X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.19/1.59    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_Orderings_Oord'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_Orderings_Oorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_LOrder_Olorder'( X ) ],
% 1.19/1.59     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.19/1.59    'class_Orderings_Olinorder'( X ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'( 
% 1.19/1.59    'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.19/1.59    , 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.19/1.59     [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 1.19/1.59    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.19/1.59     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.19/1.59    , Y ) ],
% 1.19/1.59     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.19/1.59    'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.19/1.59     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.19/1.59    'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.19/1.59     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), 
% 1.19/1.59    'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.19/1.59    'c_Datatype_Ooption_ONone' ) ],
% 1.19/1.59     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 1.19/1.59    Z, Y ) ) ), =( X, Z ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.19/1.59     ) ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.19/1.59    'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.19/1.59    , 'c_0' ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.19/1.59     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ), 
% 1.19/1.59    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.59    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'( 
% 1.19/1.59    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.59     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.19/1.59    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.59     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ), 
% 1.19/1.59    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.19/1.59    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'( 
% 1.19/1.59    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.59     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.19/1.59    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.19/1.59     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.19/1.59    'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.19/1.59    'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.19/1.59    , Y, Z, T ), Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.19/1.59    'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.19/1.59    , Y, Z, T ), Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.19/1.59    'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.19/1.59    'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ), 
% 1.19/1.59    'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ), 
% 1.19/1.59    'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.19/1.59     ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.19/1.59    'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.19/1.59     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.19/1.59    'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.19/1.59     [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.19/1.59     [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.19/1.59     ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.19/1.59    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.19/1.59    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.19/1.59    'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.19/1.59    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.19/1.59    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.19/1.59    'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.19/1.59    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.19/1.59    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ), 
% 1.19/1.59    'c_1' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.19/1.59     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 1.19/1.59    'c_Suc'( 'c_0' ) ) ],
% 1.19/1.59     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.19/1.59    'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y, 
% 1.19/1.59    'tc_nat' ), X ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.19/1.59    , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 
% 1.19/1.59    'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 1.19/1.59    X, 'c_emptyset' ) ],
% 1.19/1.59     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 1.19/1.59    X, 'c_emptyset' ) ],
% 1.19/1.59     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.19/1.59    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.19/1.59     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.19/1.59    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.19/1.59     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.19/1.59    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.19/1.59     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.19/1.59    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft', 
% 1.19/1.59    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight', 
% 1.19/1.59    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.19/1.59    , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'( 
% 1.19/1.59    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.19/1.59    'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z, 
% 1.19/1.59    'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z, 
% 1.19/1.59    'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.19/1.59    'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z, 
% 1.19/1.59    'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.19/1.59    'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'( 
% 1.19/1.59    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'( 
% 1.19/1.59    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.19/1.59    T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z, 
% 1.19/1.59    'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.19/1.59    'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z, 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z, 
% 1.19/1.59    'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z, 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T, 
% 1.19/1.59    'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z, 
% 1.19/1.59    'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.19/1.59    'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z, 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z, 
% 1.19/1.59    'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z, 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'( 
% 1.19/1.59    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.19/1.59    'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z, 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.19/1.59    'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'( 
% 1.19/1.59    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =( 
% 1.19/1.59    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 1.19/1.59    =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.19/1.59     [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =( 
% 1.19/1.59    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z, 
% 1.19/1.59    X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'( 
% 1.19/1.59    'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.19/1.59    'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 1.19/1.59    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.19/1.59    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 1.19/1.59    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.19/1.59    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.19/1.59    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.19/1.59     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.19/1.59     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 1.19/1.59    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 1.19/1.59    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.19/1.59    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.19/1.59    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.19/1.59     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.19/1.59    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.19/1.59    Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.19/1.59    'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y, 
% 1.19/1.59    'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.19/1.59    'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.19/1.59     ), Y ) ],
% 1.19/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.19/1.59    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.19/1.59    'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.19/1.59     ), Y ) ],
% 1.19/1.59     [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.19/1.59     [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.19/1.59    , 'c_1' ) ],
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.19/1.59    , 'c_1' ) ],
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 1.19/1.59    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.19/1.59    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), X ) ],
% 1.19/1.59     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.19/1.59     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.59    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.19/1.59     ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_1', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', 
% 1.19/1.59    X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.19/1.59     ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.19/1.59    , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), 
% 1.19/1.59    X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.59    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.19/1.59     ), 'c_1' ) ],
% 1.19/1.59     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 
% 1.19/1.59    'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.19/1.59     ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.19/1.59    , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.19/1.59     [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1', 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'( 
% 1.19/1.59    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'( 
% 1.19/1.59    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ), 
% 1.19/1.59    'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.19/1.59     ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0', 
% 1.19/1.59    'c_IntDef_OInts', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1', 
% 1.19/1.59    'c_IntDef_OInts', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.19/1.59    'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.19/1.59    'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.59    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.19/1.59    'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.19/1.59    'c_0', 'c_IntDef_ONats', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.19/1.59    'c_1', 'c_IntDef_ONats', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.19/1.59    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.19/1.59    , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.19/1.59    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.19/1.59    , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.19/1.59     [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oint'( X ) ) ],
% 1.19/1.59     [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 
% 1.19/1.59    'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.19/1.59    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.19/1.59    , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.19/1.59    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 
% 1.19/1.59    'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset', 
% 1.19/1.59    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.19/1.59    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.19/1.59    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.19/1.59    'tc_nat' ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.19/1.59     [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.19/1.59     [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'( 
% 1.19/1.59    X ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.19/1.59     [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.19/1.59     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    =( X, 'c_0' ) ],
% 1.19/1.59     [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 1.19/1.59    'c_IntDef_Onat'( X ) ), X ) ],
% 1.19/1.59     [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 
% 1.19/1.59    'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.19/1.59     [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'( 
% 1.19/1.59    X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.19/1.59     ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 
% 1.19/1.59    'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.19/1.59    , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'( 
% 1.19/1.59    X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ), 
% 1.19/1.59    'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y, 
% 1.19/1.59    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.19/1.59    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.19/1.59     [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'( 
% 1.19/1.59    X ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.19/1.59     ) ), 'c_0' ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.19/1.59     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.19/1.59     [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0', 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.19/1.59    , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.19/1.59    , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), 
% 1.19/1.59    X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.19/1.59    , X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.19/1.59     ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 
% 1.19/1.59    'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.19/1.59    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.19/1.59    , X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'( 
% 1.19/1.59    Y, Z, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.19/1.59    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'( 
% 1.19/1.59    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.19/1.59    'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ), 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'( 
% 1.19/1.59    X ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'( 
% 1.19/1.59    'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.19/1.59     [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'( 
% 1.19/1.59    X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ), 
% 1.19/1.59    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.19/1.59    , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.19/1.59    , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.19/1.59     ), 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.19/1.59    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.19/1.59    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.19/1.59    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.19/1.59     ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.19/1.59    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.19/1.59    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.19/1.59    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.19/1.59    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.19/1.59    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.19/1.59     [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X, 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1', 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 
% 1.19/1.59    'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.19/1.59    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.19/1.59     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X, 
% 1.19/1.59    'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.19/1.59     [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), Y ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), Y ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.19/1.59    , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', 
% 1.19/1.59    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X, 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.19/1.59     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.19/1.59    'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.19/1.59    , X ), Y ) ],
% 1.19/1.59     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.19/1.59    , X ), Y ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.19/1.59    Z, Z ) ), =( X, T ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.19/1.59    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.19/1.59    Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y, 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.19/1.59    , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 
% 1.19/1.59    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y, 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =( 
% 1.19/1.59    'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W, 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.19/1.59    , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.19/1.59    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.19/1.59     ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.19/1.59    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.19/1.59    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.19/1.59    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.19/1.59    , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil', 
% 1.19/1.59    'c_List_Oconcat'( X, Y ) ) ],
% 1.19/1.59     [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 1.19/1.59    'c_List_Olist_ONil', X ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.19/1.59    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.19/1.59    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.19/1.59    Z ) ) ), =( X, T ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.19/1.59    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.19/1.59    Z ) ) ), =( Y, U ) ],
% 1.19/1.59     [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X, 
% 1.19/1.59    'c_append'( Y, T, Z ), Z ) ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.19/1.59    , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.19/1.59    , Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.19/1.59    , Y ) ) ), =( X, Z ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.19/1.59    , Y ) ) ), =( T, U ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.19/1.59    , Y ) ) ), =( T, U ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.19/1.59    , Y ) ) ), =( X, Z ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.19/1.59    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 1.19/1.59    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.19/1.59     [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.19/1.59     ), Y ) ],
% 1.19/1.59     [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.19/1.59     ), Y ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'( 
% 1.19/1.59    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 1.19/1.59    'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.19/1.59    'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.19/1.59     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.19/1.59    =( X, Z ) ],
% 1.19/1.59     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.19/1.59    =( Y, T ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.19/1.59     ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ), 
% 1.19/1.59    'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.19/1.59     ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ), 
% 1.19/1.59    'c_List_Odistinct'( X, Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'( 
% 1.19/1.59    X, Y ), Y ) ],
% 1.19/1.59     [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~( 
% 1.19/1.59    'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), 
% 1.19/1.59    'c_List_Odistinct'( Y, Z ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.19/1.59    'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.19/1.59    'c_List_Odistinct'( X, Z ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.19/1.59    'c_List_Odistinct'( Y, Z ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'( 
% 1.19/1.59    'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~( 
% 1.19/1.59    =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ), 
% 1.19/1.59    'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.19/1.59    , X, Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'( 
% 1.19/1.59    Z, X, Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ), 
% 1.19/1.59    'c_List_Odistinct'( X, Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.19/1.59    , Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ), 
% 1.19/1.59    'c_List_Odistinct'( Y, Z ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'( 
% 1.19/1.59    Z, X, Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'( 
% 1.19/1.59    X, Z, Y ), Y ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.19/1.59    , X, Y ), Y ) ],
% 1.19/1.59     [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.19/1.59    'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.19/1.59    , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.19/1.59    'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.19/1.59    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 1.19/1.59    'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 1.19/1.59    'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.19/1.59    'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.19/1.59    'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.19/1.59     [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'( 
% 1.19/1.59    'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.19/1.59    , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.19/1.59     ), 'c_List_Ohd'( X, Z ) ) ],
% 1.19/1.59     [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.19/1.59     ), 'tc_nat' ), X ) ],
% 1.19/1.59     [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.19/1.59     [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.19/1.59    'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 1.19/1.59    Y ), X ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'( 
% 1.19/1.59    Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ), 
% 1.19/1.59    'c_List_Olast'( X, Y ) ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.19/1.59    , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.19/1.59    , Y ) ],
% 1.19/1.59     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.19/1.59    'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X, 
% 1.19/1.59    Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.19/1.59    'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.19/1.59    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.19/1.59    'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 1.19/1.59    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.19/1.59     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.19/1.59    , =( X, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 1.19/1.59    'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.19/1.59    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 1.19/1.59    Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 1.19/1.59    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 1.19/1.59    'tc_List_Olist'( Y ) ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.19/1.59     ), X ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.19/1.59    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.19/1.59    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.19/1.59    , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.19/1.59    'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.19/1.59    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.19/1.59    , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'( 
% 1.19/1.59    'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X, 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.19/1.59    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.19/1.59    'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ), 
% 1.19/1.59    'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.19/1.59     [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.19/1.59    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.19/1.59    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.19/1.59    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.19/1.59    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.19/1.59    Z, Z ) ), =( X, T ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.19/1.59    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.19/1.59    Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.19/1.59    'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.19/1.59     ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.19/1.59     ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.19/1.59     ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.19/1.59    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.19/1.59    'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 
% 1.19/1.59    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.19/1.59     ) ), =( X, T ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.19/1.59     ) ), =( Y, U ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.19/1.59     ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.19/1.59     ), 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'( 
% 1.19/1.59    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X, 
% 1.19/1.59    'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.19/1.59     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'( 
% 1.19/1.59    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.19/1.59    'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, 
% 1.19/1.59    T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.19/1.59    , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U, 
% 1.19/1.59    Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.19/1.59     [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'( 
% 1.19/1.59    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ), 
% 1.19/1.59    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'( 
% 1.19/1.59    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.19/1.59     [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 1.19/1.59    'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.19/1.59     [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'( 
% 1.19/1.59    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.19/1.59     [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.19/1.59    , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.19/1.59    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.19/1.59     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.19/1.59    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.19/1.59    , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.19/1.59    , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.19/1.59     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ), 
% 1.19/1.59    'c_List_Onth'( Y, T, Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.19/1.59    'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_nat' ), T ), Y ) ],
% 1.19/1.59     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.19/1.59    , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.19/1.59     [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X, 
% 1.19/1.59    'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.19/1.59    , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y, 
% 1.19/1.59    U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'( 
% 1.19/1.59    Y, Z, T ), X, T ), Z ) ],
% 1.19/1.59     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y, 
% 1.19/1.59    Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.19/1.59    'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.19/1.59    , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.19/1.59    , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ), 
% 1.19/1.59    'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.19/1.59     [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.19/1.59     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.19/1.59     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ), 
% 1.19/1.59    'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.19/1.59     [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.19/1.59     [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X, 
% 1.19/1.59    'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'( 
% 1.19/1.59    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.19/1.59     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'( 
% 1.19/1.59    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, 
% 1.19/1.59    'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.19/1.59     ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.19/1.59     [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.19/1.59    , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'( 
% 1.19/1.59    'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.19/1.59    , Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'( 
% 1.19/1.59    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.19/1.59    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 1.19/1.59    'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 1.19/1.59    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 1.19/1.59    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.19/1.59    'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 1.19/1.59    'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 1.19/1.59    'c_List_Olist_ONil', Y ) ) ],
% 1.19/1.59     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.19/1.59     ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.19/1.59    'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.19/1.59     [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'( 
% 1.19/1.59    'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.19/1.59     ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.19/1.59     [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.19/1.59    'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.19/1.59     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.19/1.59     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.19/1.59    , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'( 
% 1.19/1.59    X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'( 
% 1.19/1.59    Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z, 
% 1.19/1.59    'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.19/1.59    'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y, 
% 1.19/1.59    Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.19/1.59    Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.19/1.59    'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.19/1.59     [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'( 
% 1.19/1.59    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.19/1.59     [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'( 
% 1.19/1.59    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.19/1.59    , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.19/1.59     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.19/1.59    'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 
% 1.19/1.59    'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.19/1.59    , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_0' ) ],
% 1.19/1.59     [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.19/1.59    , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.19/1.59    'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.19/1.59     [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.19/1.59    'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.19/1.59    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.19/1.59     [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.19/1.59     ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.19/1.59    'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'( 
% 1.19/1.59    'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.19/1.59    'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X, 
% 1.19/1.59    'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.19/1.59     [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.19/1.59     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.19/1.59     ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.19/1.59     [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.19/1.59    'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.19/1.59     ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y, 
% 1.19/1.59    'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.59     [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.19/1.59    , 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'( 
% 1.19/1.59    Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.19/1.59     [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ), 
% 1.19/1.59    'c_List_Olist_ONil' ) ],
% 1.19/1.59     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.19/1.59     [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.19/1.59    'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'( 
% 1.19/1.59    X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.19/1.59     [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.19/1.59     ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'( 
% 1.19/1.59    'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'( 
% 1.19/1.59    'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.19/1.59     ) ) ) ],
% 1.19/1.59     [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( 
% 1.19/1.59    T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T, 
% 1.19/1.59    'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.19/1.59     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'( 
% 1.19/1.59    'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ), 
% 1.19/1.59    ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T, 
% 1.19/1.59    'tc_List_Olist'( U ) ) ) ) ],
% 1.19/1.59     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.19/1.59    'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =( 
% 1.19/1.59    'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ), 
% 1.19/1.59    'c_Datatype_Ooption_ONone' ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.19/1.59    'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.19/1.59    , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'( 
% 1.19/1.59    'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 
% 1.19/1.59    'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'( 
% 1.19/1.59    'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), 
% 1.19/1.59    'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y, 
% 1.19/1.59    X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.19/1.59     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y, 
% 1.19/1.59    X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.19/1.59     ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'( 
% 1.19/1.59    Y, X ), 'c_1', X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0', 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0', 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.19/1.59    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.19/1.59    , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.19/1.59    , X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, 
% 1.19/1.59    X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.19/1.59    'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'( 
% 1.19/1.59    Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ), 
% 1.19/1.59    'c_less'( Y, Z, 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 
% 1.19/1.59    'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'( 
% 1.19/1.59    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59     ), 'c_1' ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.19/1.59    , X ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.19/1.59    'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 
% 1.19/1.59    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ), 
% 1.19/1.59    'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 1.19/1.59    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.19/1.59    X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.19/1.59     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.19/1.59    , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.19/1.59    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'( 
% 1.19/1.59    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ) ), 'c_0' ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.19/1.59     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.19/1.59     ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.19/1.59    X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.19/1.59    , 'tc_IntDef_Oint' ) ],
% 1.19/1.59     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.19/1.59    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.19/1.59    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.19/1.59     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.19/1.59    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.19/1.59     ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.19/1.59    Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.19/1.59    , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.19/1.59     ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.19/1.59    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.19/1.59    'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.19/1.59     ), 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.59     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ), 
% 1.19/1.59    =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'( 
% 1.19/1.59    'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.19/1.59    , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.19/1.59     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.19/1.59     ) ],
% 1.19/1.59     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.59    'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.59    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.59     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), X ), 'c_0' ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( 
% 1.19/1.59    'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ) ) ],
% 1.19/1.59     [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.19/1.59     ],
% 1.19/1.59     [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.19/1.59     ) ],
% 1.19/1.59     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.19/1.59     [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'( 
% 1.19/1.59    X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.19/1.59    'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.19/1.59     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.19/1.59    , 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.19/1.59     ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.19/1.59    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.19/1.59     ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.19/1.59    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.19/1.59    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.19/1.59    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.19/1.59    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.19/1.59    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), 
% 1.19/1.59    X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.19/1.59     ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.59    , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.19/1.59     ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.19/1.59    , 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.19/1.59    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.59    , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.19/1.59    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 
% 1.19/1.59    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'( 
% 1.19/1.59    T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.59    , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.19/1.59    X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.19/1.59    , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.19/1.59    , X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'( 
% 1.19/1.59    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.19/1.59     ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.19/1.59    , X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.19/1.59    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.19/1.59     ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.19/1.59    , T, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'( 
% 1.19/1.59    'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.19/1.59    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.19/1.59    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.19/1.59    , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.59     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.19/1.59    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.59     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.19/1.59    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.59    Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.19/1.59     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.59     ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.59     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.19/1.59    , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.19/1.59    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.19/1.59    'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.19/1.59     ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.19/1.59     ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.19/1.59     ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.19/1.59    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.19/1.59     ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.19/1.59     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.59    X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.19/1.59     ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.19/1.59     ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.59     ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'( 
% 1.19/1.59    X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.19/1.59    'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'( 
% 1.19/1.59    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'( 
% 1.19/1.59    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.19/1.59    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'( 
% 1.19/1.59    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.19/1.59    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.19/1.59    , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.19/1.59    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.19/1.59    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.19/1.59    , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.19/1.59     ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.19/1.59     ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.19/1.59    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.19/1.59    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.19/1.59     ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), 
% 1.19/1.59    X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.59    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.19/1.59     ), X ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.19/1.59     ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.19/1.59    'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 
% 1.19/1.59    'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.19/1.59    X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.19/1.59     ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z, 
% 1.19/1.59    X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y, 
% 1.19/1.59    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.59     ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.19/1.59     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.59     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.19/1.59    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.59     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.19/1.59    , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.19/1.59    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.19/1.59    Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.59     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.19/1.59    , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), 
% 1.19/1.59    X ), X ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.19/1.59    , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( 
% 1.19/1.59    'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.19/1.59     ) ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.19/1.59    , Y, X ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.19/1.59    'c_1', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.19/1.59    'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 
% 1.19/1.59    'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.19/1.59     ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'( 
% 1.19/1.59    'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_1' ) ],
% 1.19/1.59     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.59    'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 1.19/1.59    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.59    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.59    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.59     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 
% 1.19/1.59    'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.59    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.19/1.59    , 'tc_nat' ) ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.19/1.59     ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.59    , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.19/1.59    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( 
% 1.19/1.59    Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.19/1.59    ,
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.19/1.59    'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.59    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.19/1.59    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.59    , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.59    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'( 
% 1.19/1.59    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.59    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.19/1.59    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.59    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0', 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.19/1.59    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.59    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.19/1.59     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.59    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.19/1.60    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0', 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.60    , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.60    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.19/1.60    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.60    , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.19/1.60    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.60    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z, 
% 1.19/1.60    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.19/1.60    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.19/1.60    X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.19/1.60     ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 
% 1.19/1.60    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'( 
% 1.19/1.60    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.19/1.60    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.19/1.60    , X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.19/1.60     ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.19/1.60    , Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', 
% 1.19/1.60    X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.19/1.60    , Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.19/1.60    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.19/1.60    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.19/1.60    'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.19/1.60    'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.19/1.60    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.19/1.60    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.19/1.60     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.19/1.60     [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 
% 1.19/1.60    'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 1.19/1.60    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 1.19/1.60    'c_Suc'( Y ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.19/1.60    , 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.19/1.60    , 'tc_nat' ) ],
% 1.19/1.60     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'( 
% 1.19/1.60    'c_0' ), 'tc_nat' ) ), X ) ],
% 1.19/1.60     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.19/1.60     [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.19/1.60     [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.19/1.60    'tc_nat' ) ) ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 1.19/1.60    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.19/1.60     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.19/1.60    , 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'( 
% 1.19/1.60    Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.19/1.60    , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y, 
% 1.19/1.60    'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.19/1.60     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.19/1.60    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.19/1.60    , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.19/1.60     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.19/1.60    'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.19/1.60    'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.19/1.60     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X, 
% 1.19/1.60    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ), 
% 1.19/1.60    =( Y, Z ), =( X, 'c_0' ) ],
% 1.19/1.60     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ), 
% 1.19/1.60    =( X, Z ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.19/1.60     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X, 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X, 
% 1.19/1.60    Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.60    Y, Z, 'tc_nat' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.19/1.60    , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.19/1.60    X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.60    Y, Z, 'tc_nat' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X, 
% 1.19/1.60    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.19/1.60    , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.19/1.60    , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.19/1.60    , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.19/1.60    , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.19/1.60    , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.19/1.60     ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.19/1.60    , Z ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.19/1.60    , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.19/1.60    , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.19/1.60    , Z ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.19/1.60    , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X, 
% 1.19/1.60    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.19/1.60     [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.19/1.60    'tc_nat' ) ) ) ],
% 1.19/1.60     [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( Y, X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.60    'c_Numeral_OMin' ) ],
% 1.19/1.60     [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ), 
% 1.19/1.60    'c_Numeral_OPls' ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.19/1.60    , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.19/1.60    Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.19/1.60     ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.19/1.60    Y, Z ), X ), T, X ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.19/1.60    , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.19/1.60    , Y ), Z ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.19/1.60    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.19/1.60    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ), 
% 1.19/1.60    'c_Numeral_Obin__pred'( X ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ), 
% 1.19/1.60    'c_Numeral_Obin__pred'( X ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.19/1.60    'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ), 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'( 
% 1.19/1.60    Y, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.19/1.60     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.19/1.60     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'( 
% 1.19/1.60    X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.19/1.60    , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.19/1.60    , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.19/1.60    , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ), 
% 1.19/1.60    'c_Numeral_Obin__minus'( X ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.19/1.60     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.19/1.60     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.19/1.60    'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ), 
% 1.19/1.60    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.19/1.60    Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.19/1.60    , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.19/1.60    , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.19/1.60    , X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.19/1.60    , X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.19/1.60    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.19/1.60    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.19/1.60    'c_1', X ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.19/1.60     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.19/1.60     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.19/1.60     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.19/1.60     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y, 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.19/1.60     ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'( 
% 1.19/1.60    'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.19/1.60    'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( 
% 1.19/1.60    'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.19/1.60    , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0', 
% 1.19/1.60    'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.19/1.60    'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 
% 1.19/1.60    X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 
% 1.19/1.60    'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.19/1.60    'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.19/1.60    'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.19/1.60    'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y, 
% 1.19/1.60    X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y, 
% 1.19/1.60    'c_0', X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Z, T, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ), 
% 1.19/1.60    'c_plus'( T, Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ), 
% 1.19/1.60    'c_plus'( Z, T, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.19/1.60    Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( 
% 1.19/1.60    Z, T, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.19/1.60    , X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( 
% 1.19/1.60    Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.19/1.60    , X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.19/1.60    Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.19/1.60    , Y, X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.19/1.60    , X ), 'c_uminus'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.19/1.60    , X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.19/1.60    , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.19/1.60    , X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.19/1.60    , X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 
% 1.19/1.60    'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.19/1.60     ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ), 
% 1.19/1.60    'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ), 
% 1.19/1.60    'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.19/1.60    'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.19/1.60    'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.19/1.60    'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.19/1.60    'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.19/1.60     ), X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_uminus'( Y, X ), X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y, 
% 1.19/1.60    X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1', 
% 1.19/1.60    X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0', 
% 1.19/1.60    'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'( 
% 1.19/1.60    'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 
% 1.19/1.60    'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.19/1.60     ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.19/1.60     ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0', 
% 1.19/1.60    X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.19/1.60     ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ), 
% 1.19/1.60    'c_uminus'( Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0', 
% 1.19/1.60    Y, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.19/1.60    'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ), 
% 1.19/1.60    'c_uminus'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.19/1.60    Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ), 
% 1.19/1.60    'c_uminus'( Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.19/1.60    'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.19/1.60    'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 
% 1.19/1.60    'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.19/1.60    'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ), 
% 1.19/1.60    'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y, 
% 1.19/1.60    'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.19/1.60    'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'( 
% 1.19/1.60    'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.19/1.60    Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.19/1.60    Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.60    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.60    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'( 
% 1.19/1.60    T, Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.19/1.60     ), Y ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, 
% 1.19/1.60    'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, 
% 1.19/1.60    Y, X ), Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.19/1.60     ), Y ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, 
% 1.19/1.60    'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.60    'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.60    'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.19/1.60    , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.19/1.60    , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.19/1.60     ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.19/1.60    , 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.19/1.60     ), 'tc_nat' ) ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ), 
% 1.19/1.60    'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X, 
% 1.19/1.60    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y, 
% 1.19/1.60    X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.19/1.60    , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.19/1.60    , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 
% 1.19/1.60    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.19/1.60    'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.19/1.60    'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.19/1.60    , 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 
% 1.19/1.60    'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.19/1.60    'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.19/1.60    'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.19/1.60    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.19/1.60     ), 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.19/1.60    , 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'( 
% 1.19/1.60    'c_1', X ) ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.19/1.60     ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.19/1.60     ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.19/1.60     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ), 
% 1.19/1.60    =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.19/1.60    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.19/1.60    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.19/1.60    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.19/1.60    'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X, 
% 1.19/1.60    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.19/1.60    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.19/1.60    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.19/1.60     [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.60    'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.19/1.60    Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.19/1.60    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.19/1.60    'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.19/1.60    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ), =( Z, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.19/1.60     ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.19/1.60    , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.19/1.60    , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 
% 1.19/1.60    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.19/1.60     ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.19/1.60     ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.19/1.60    X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 
% 1.19/1.60    'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.19/1.60    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'( 
% 1.19/1.60    'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.19/1.60    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.60    'c_lessequals'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.60    'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y, 
% 1.19/1.60    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.19/1.60    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.19/1.60    'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.19/1.60    , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.19/1.60     ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.19/1.60    , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.19/1.60     ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.19/1.60    'tc_nat' ), X ), X ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =( 
% 1.19/1.60    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.19/1.60     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'( 
% 1.19/1.60    'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'( 
% 1.19/1.60    X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 
% 1.19/1.60    'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.19/1.60    , =( X, 'c_0' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X, 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.19/1.60     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X, 
% 1.19/1.60    'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'( 
% 1.19/1.60    Y ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.19/1.60    Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.19/1.60    Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, 
% 1.19/1.60    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.19/1.60    , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.19/1.60    , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.19/1.60    , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'( 
% 1.19/1.60    'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.19/1.60    , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ), 
% 1.19/1.60    =( Z, T ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ), 
% 1.19/1.60    'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.19/1.60    , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.19/1.60     ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.19/1.60    'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T, 
% 1.19/1.60    Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ), 
% 1.19/1.60    'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.19/1.60    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.19/1.60     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.19/1.60     [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.19/1.60     [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ), 
% 1.19/1.60    'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.19/1.60     [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.19/1.60     [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ), 
% 1.19/1.60    'c_inter'( X, Z, Y ) ) ],
% 1.19/1.60     [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.19/1.60    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.19/1.60    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.19/1.60     [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.19/1.60     [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 1.19/1.60    X ) ],
% 1.19/1.60     [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ), 
% 1.19/1.60    'c_Relation_Odiag'( X, Y ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 1.19/1.60    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 1.19/1.60    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 1.19/1.60    Z ) ) ],
% 1.19/1.60     [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.19/1.60     ) ), =( X, Y ) ],
% 1.19/1.60     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ), 
% 1.19/1.60    'c_Relation_OId' ) ],
% 1.19/1.60     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ), 
% 1.19/1.60    'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.19/1.60    , Z ) ) ), Z, Z, Z ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.60    'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ), 
% 1.19/1.60    'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.19/1.60    'c_1', X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0', 
% 1.19/1.60    'c_1' ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.19/1.60     ), Y ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.19/1.60    'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.19/1.60    'c_divide'( 'c_0', Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.19/1.60    'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.19/1.60    'c_divide'( Z, 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z, 
% 1.19/1.60    X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z, 
% 1.19/1.60    T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.19/1.60    'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.19/1.60    'c_1' ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 1.19/1.60    'c_0', X ), 'c_1' ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z, 
% 1.19/1.60    X ), 'c_1' ) ), =( Z, Y ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 1.19/1.60    'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.19/1.60    'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.19/1.60     ), 'c_1', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.19/1.60    'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.19/1.60     ), 'c_1', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.19/1.60    'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( 
% 1.19/1.60    Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z, 
% 1.19/1.60    X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.19/1.60    Y, 'c_0', X ) ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.19/1.60    Y, Z, X ) ) ), =( Z, Y ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.19/1.60    , 'c_divide'( Y, Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.19/1.60    , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.19/1.60    , 'c_times'( 'c_0', Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.19/1.60    , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.19/1.60    , 'c_times'( Z, 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'( 
% 1.19/1.60    Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.19/1.60    'c_1' ) ), =( Y, 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ), 
% 1.19/1.60    'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.19/1.60    'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.19/1.60    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.19/1.60    Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.19/1.60    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.60    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.19/1.60    Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.60    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.19/1.60     ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.19/1.60    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.19/1.60    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.60    , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), 
% 1.19/1.60    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.19/1.60    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.19/1.60    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.19/1.60    , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), 
% 1.19/1.60    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'( 
% 1.19/1.60    Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.19/1.60    , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z, 
% 1.19/1.60    X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.19/1.60    'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.19/1.60    'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.19/1.60    Z, Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.19/1.60    'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.19/1.60    Z, Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.19/1.60    , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.19/1.60    , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.19/1.60    Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.19/1.60    'c_0', Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.19/1.60    , 'c_1', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.19/1.60    , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.19/1.60    Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.19/1.60    Y, 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( 
% 1.19/1.60    'c_1', Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.19/1.60    , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.19/1.60    'c_0', Y, X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.19/1.60    'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.19/1.60    Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.19/1.60    'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.19/1.60    Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.19/1.60    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.19/1.60    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.19/1.60    'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.19/1.60    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.19/1.60    'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.19/1.60    'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.19/1.60    'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.19/1.60    'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.19/1.60    , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'( 
% 1.19/1.60    Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.19/1.60    'c_0', Y, X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.19/1.60    Y, 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.19/1.60    'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.19/1.60    'c_1', 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.19/1.60    , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1', 
% 1.19/1.60    'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.19/1.60     ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1', 
% 1.19/1.60    'c_0' ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.19/1.60    , 'c_1', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.19/1.60    Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'( 
% 1.19/1.60    Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.19/1.60    , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y, 
% 1.19/1.60    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.19/1.60    'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'( 
% 1.19/1.60    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y, 
% 1.19/1.60    'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'( 
% 1.19/1.60    'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'( 
% 1.19/1.60    'c_1', 'c_0', X ) ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.19/1.60    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.19/1.60    'c_0', 'c_1', X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.19/1.60    'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.19/1.60     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.19/1.60    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.19/1.60     ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.19/1.60    'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =( 
% 1.19/1.60    'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.19/1.60    , Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'( 
% 1.19/1.60    Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.19/1.60    , X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'( 
% 1.19/1.60    T, Z, X ), X ) ],
% 1.19/1.60     [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ), 
% 1.19/1.60    'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 1.19/1.60    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 1.19/1.60    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 1.19/1.60    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0', 
% 1.19/1.60    'c_emptyset', 'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 1.19/1.60    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 1.19/1.60    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 1.19/1.60    Z, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'( 
% 1.19/1.60    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.19/1.60    , 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.19/1.60    , 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.19/1.60    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.19/1.60    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 
% 1.19/1.60    'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.19/1.60     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.19/1.60    'tc_nat' ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.19/1.60    =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, 
% 1.19/1.60    T, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_lessequals'( Z, T, X ) ), 'c_in'( Z, 
% 1.19/1.60    'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.19/1.60    'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.19/1.60    , Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.19/1.60     ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.19/1.60    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.19/1.60     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 1.19/1.60    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.19/1.60    'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.19/1.60    'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( U, Y, X ), 
% 1.19/1.60    'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 1.19/1.60    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.19/1.60    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.19/1.60    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.19/1.60    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 1.19/1.60    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.19/1.60    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 1.19/1.60    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.19/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y, 
% 1.19/1.60    'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.19/1.60    'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.19/1.60     [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.19/1.60    'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'( 
% 1.19/1.60    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'( 
% 1.19/1.60    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.19/1.60     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.19/1.60     ), =( X, Z ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 1.19/1.60    Z ) ) ],
% 1.19/1.60     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 1.19/1.60    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 1.19/1.60    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.19/1.60    'c_inter'( X, Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.19/1.60     [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ), 
% 1.19/1.60    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y, 
% 1.19/1.60    'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ), 
% 1.19/1.60    'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.19/1.60    , Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.19/1.60    , 'tc_set'( Z ) ), Z ) ],
% 1.19/1.60     [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.19/1.60     ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.19/1.60     [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.19/1.60     [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.19/1.60     [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 1.19/1.60    T, Y, Z ), Z ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.19/1.60    'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.19/1.60    'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 
% 1.19/1.60    'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.19/1.60     ) ), =( X, 'c_UNIV' ) ],
% 1.19/1.60     [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.19/1.60    , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.19/1.60    'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.19/1.60     ) ), =( X, 'c_UNIV' ) ],
% 1.19/1.60     [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.19/1.60    , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.19/1.60     [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.19/1.60    'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.19/1.60     [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.19/1.60     ) ), 'c_in'( T, X, Z ) ],
% 1.19/1.60     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.19/1.60    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.19/1.60    'c_Inter'( Y, Z ), Z ) ],
% 1.19/1.60     [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X, 
% 1.19/1.60    'c_Inter'( Y, Z ), Z ) ) ],
% 1.19/1.60     [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ), 
% 1.19/1.60    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.19/1.60     [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.19/1.60    , 'tc_set'( X ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.19/1.60    , 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.19/1.60    , 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.19/1.60     [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X, 
% 1.19/1.60    Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.19/1.60    Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_union'( X, X, Y ), X ) ],
% 1.19/1.60     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.19/1.60     [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 1.19/1.60    X, Y, T ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.19/1.60     [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'( 
% 1.19/1.60    Y, T, Z ), Z ) ) ],
% 1.19/1.60     [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'( 
% 1.19/1.60    X, Z, T ), T ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.19/1.60    'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.19/1.60    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y, 
% 1.19/1.60    'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.19/1.60     [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( 
% 1.19/1.60    'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.19/1.60     [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ), 
% 1.19/1.60    'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.19/1.60     [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.19/1.60    =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.19/1.60    'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 1.19/1.60    'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 1.19/1.60    'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.19/1.60    , 'c_Union'( T, Z ), Z ) ],
% 1.19/1.60     [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.19/1.60    'c_Union'( Y, Z ), Z ) ) ],
% 1.19/1.60     [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X, 
% 1.19/1.60    'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.19/1.60    , 'c_emptyset' ) ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =( 
% 1.19/1.60    'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =( 
% 1.19/1.60    'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'( 
% 1.19/1.60    X, T, Z ), Z ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =( 
% 1.19/1.60    'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.19/1.60     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =( 
% 1.19/1.60    'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.19/1.60     [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y, 
% 1.19/1.60    Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.19/1.60     [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.19/1.60    =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.19/1.60     [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.19/1.60    'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.19/1.60     [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y, 
% 1.19/1.60    'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.19/1.60     [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ), 
% 1.19/1.60    'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.19/1.60     [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.19/1.60    , 'c_emptyset' ) ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =( 
% 1.19/1.60    'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =( 
% 1.19/1.60    'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, 
% 1.19/1.60    T, Z ), Y, Z ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =( 
% 1.19/1.60    'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.19/1.60     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =( 
% 1.19/1.60    'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.19/1.60     ) ],
% 1.19/1.60     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.19/1.60     [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ), 
% 1.19/1.60    'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.19/1.60     [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'( 
% 1.19/1.60    X, T, Z ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.19/1.60    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 
% 1.19/1.60    'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.19/1.60     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 1.19/1.60    Z, X ) ],
% 1.19/1.60     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 1.19/1.60    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.19/1.60     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.19/1.60     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 1.19/1.60    X, T ) ],
% 1.19/1.60     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 1.19/1.60    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.19/1.60     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.19/1.60     [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X, 
% 1.19/1.60    'c_emptyset' ) ],
% 1.19/1.60     [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.19/1.60     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.19/1.60    , =( X, T ) ],
% 1.19/1.60     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.19/1.60    , =( X, T ) ],
% 1.19/1.60     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, 
% 1.19/1.60    Y ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.19/1.60     ), 'c_UNIV' ) ],
% 1.19/1.60     [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 1.19/1.60    'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'( 
% 1.19/1.60    X, Y ) ) ],
% 1.19/1.60     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ), 
% 1.19/1.60    'c_Relation_OId' ) ],
% 1.19/1.60     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 1.19/1.60    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.19/1.60     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.19/1.60     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.19/1.60    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.19/1.60     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.19/1.60     [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.19/1.60     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.19/1.60     [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.19/1.60    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 1.19/1.60    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.19/1.60    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.19/1.60    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 1.19/1.60    T, Z ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.19/1.60    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.19/1.60    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 1.19/1.60    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.19/1.60    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.19/1.60    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.19/1.60    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 1.19/1.60    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.19/1.60    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.19/1.60     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.19/1.60    , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 1.19/1.60    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.19/1.60     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.19/1.60    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 1.19/1.60    'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.19/1.60     ) ), =( X, Y ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 'tc_Message_Oagent' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 'tc_Message_Oagent'
% 1.19/1.60     ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 'tc_Message_Oagent' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ],
% 1.19/1.60     [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y ) ) ), =( X, Y
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_union'( 'c_Message_OkeysFor'( X ), 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.19/1.60    Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OinvKey'( X ), 
% 1.19/1.60    'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.19/1.60    Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ), 
% 1.19/1.60    =( X, Y ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.19/1.60    , =( X, Y ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ), 
% 1.19/1.60    =( X, Y ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.19/1.60    , Y ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ), 
% 1.19/1.60    =( X, Y ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.19/1.60     ) ), =( X, Z ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.19/1.60     ) ), =( Y, T ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.19/1.60     ) ), =( X, Z ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.19/1.60     ) ), =( Y, T ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.19/1.60    'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 'tc_Message_Omsg' )
% 1.19/1.60    , 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 'c_Suc'( 'c_0' ), 
% 1.19/1.60    'tc_nat' ) ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 'tc_Message_Omsg' )
% 1.19/1.60    , 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.19/1.60    'tc_nat' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 1.19/1.60    Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.19/1.60     ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y, X, Z ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 1.19/1.60    'tc_Message_Oagent' ) ) ],
% 1.19/1.60     [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.19/1.60    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.19/1.60    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.19/1.60     ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.19/1.60     ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.19/1.60     ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.19/1.60     ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.19/1.60    , W ) ) ), =( X, T ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.19/1.60    , W ) ) ), =( Y, U ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.19/1.60    , W ) ) ), =( Z, W ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.19/1.60     ), =( X, Z ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.19/1.60     ), =( Y, T ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.19/1.60     ) ), =( X, Z ) ],
% 1.19/1.60     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.19/1.60     ) ), =( Y, T ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'tc_Event_Oevent'
% 1.19/1.60     ), 'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 'tc_Event_Oevent' )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 'tc_Event_Oevent' )
% 1.19/1.60    , 'c_0' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.19/1.60    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 'tc_Message_Omsg' ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.19/1.60    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( X, 
% 1.19/1.60    'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 'c_in'( X, 
% 1.19/1.60    'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( 
% 1.19/1.60    'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.19/1.60     [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 'c_Event_OinitState'( X
% 1.19/1.60     ) ) ],
% 1.19/1.60     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.19/1.60    'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 
% 1.19/1.60    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), =( 
% 1.19/1.60    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.19/1.60    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.19/1.60    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 'c_Event_Oknows'( 
% 1.19/1.60    'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X
% 1.19/1.60    , Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 
% 1.19/1.60    'c_Message_Oagent_OSpy', Z ) ) ],
% 1.19/1.60     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.19/1.60    'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_insert'( 
% 1.19/1.60    Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) )
% 1.19/1.60     ],
% 1.19/1.60     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y
% 1.19/1.60     ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( Z ) ) ],
% 1.19/1.60     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X, 
% 1.19/1.60    Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 1.19/1.60    Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y
% 1.19/1.60    , Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 
% 1.19/1.60    'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( T )
% 1.19/1.60    , 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.19/1.60    'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Y ) ) ) ],
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.19/1.60    , Z ) ],
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.19/1.60    , T ) ],
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.19/1.60    , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.19/1.60    , =( T, Y ) ],
% 1.19/1.60     [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.19/1.60    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.19/1.60    'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.19/1.60    Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ), 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.19/1.60    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.19/1.60    , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.19/1.60    , =( Y, T ) ],
% 1.19/1.60     [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 1.19/1.60    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.19/1.60    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 1.19/1.60    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.19/1.60    Y ) ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.19/1.60    'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.19/1.60     ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( 
% 1.19/1.60    Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 'c_Message_Oanalz'( 
% 1.19/1.60    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( 
% 1.19/1.60    'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'( 
% 1.19/1.60    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.19/1.60    X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oanalz'( 
% 1.19/1.60    X ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.19/1.60    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y ) ), 'tc_nat' )
% 1.19/1.60    , =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.19/1.60    'c_Message_Oanalz'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.19/1.60    X ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ), 
% 1.19/1.60    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'( 
% 1.19/1.60    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 
% 1.19/1.60    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 1.19/1.60    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.19/1.60    'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.19/1.60     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'( 
% 1.19/1.60    X ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =( 
% 1.19/1.60    'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'c_Message_Oparts'( Y ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.19/1.60    X ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), Z
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.19/1.60    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.19/1.60    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.19/1.60    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.19/1.60    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.19/1.60    'c_Message_Oparts'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.19/1.60    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.19/1.60    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'( 
% 1.19/1.60    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 
% 1.19/1.60    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 1.19/1.60    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.19/1.60    'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.19/1.60    ,
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.19/1.60    'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 1.19/1.60    Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.19/1.60    'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Osynth'( 
% 1.19/1.60    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 
% 1.19/1.60    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 1.19/1.60    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.19/1.60    'tc_Message_Omsg' ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Event_Oused'( 
% 1.19/1.60    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.19/1.60    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.19/1.60     ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 
% 1.19/1.60    'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 
% 1.19/1.60    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( Y, X )
% 1.19/1.60     ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' )
% 1.19/1.60     ],
% 1.19/1.60     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.19/1.60    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 1.19/1.60    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 
% 1.19/1.61    'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =( 
% 1.19/1.61    'c_Message_OinvKey'( X ), X ) ],
% 1.19/1.61     [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 'c_Public_OshrK'( X )
% 1.19/1.61     ) ],
% 1.19/1.61     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.19/1.61    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.19/1.61     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.19/1.61    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.19/1.61     [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.19/1.61     ) ) ],
% 1.19/1.61     [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.19/1.61     ) ) ],
% 1.19/1.61     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.19/1.61    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.19/1.61     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.19/1.61    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.19/1.61     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 'tc_Public_Okeymode'
% 1.19/1.61     ), 'c_0' ) ],
% 1.19/1.61     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption', 
% 1.19/1.61    'tc_Public_Okeymode' ), 'c_0' ) ],
% 1.19/1.61     [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_OinitState'( X )
% 1.19/1.61     ) ), 'c_emptyset' ) ],
% 1.19/1.61     [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.19/1.61     [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys', 
% 1.19/1.61    'tc_nat' ) ) ],
% 1.19/1.61     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 1.19/1.61    'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.19/1.61    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 1.19/1.61    'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 1.19/1.61    'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.19/1.61     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.19/1.61    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 1.19/1.61    'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.19/1.61    , =( X, Z ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.19/1.61    , =( Y, T ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 1.19/1.61    'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.19/1.61     [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.19/1.61    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.19/1.61    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.19/1.61    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.19/1.61    ,
% 1.19/1.61     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Public_OshrK'( Z ) ) ) ],
% 1.19/1.61     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z ) ) ) ],
% 1.19/1.61     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.19/1.61    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ]
% 1.19/1.61    ,
% 1.19/1.61     [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.19/1.61     ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.19/1.61     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 1.19/1.61    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.19/1.61     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.19/1.61    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.19/1.61    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 1.19/1.61    ,
% 1.19/1.61     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg'
% 1.19/1.61     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 'c_Message_Osynth'( 
% 1.19/1.61    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_union'( 
% 1.19/1.61    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'c_Message_Oparts'( Z ), 
% 1.19/1.61    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.19/1.61    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.19/1.61    'tc_Message_Omsg' ) ],
% 1.19/1.61     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.19/1.61     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.19/1.61    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.19/1.61    'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.19/1.61    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.19/1.61     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.19/1.61     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 1.19/1.61    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ), 
% 1.19/1.61    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ), U ) ) ) ), 
% 1.19/1.61    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( U, 
% 1.19/1.61    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.19/1.62    'tc_Message_Omsg' ) ],
% 1.19/1.62     [ 'c_in'( 'v_evs3', 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 1.19/1.62    'tc_Event_Oevent' ) ) ],
% 1.19/1.62     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_KAB' ), 'c_Event_Oused'( 'v_evs3'
% 1.19/1.62     ), 'tc_Message_Omsg' ) ) ],
% 1.19/1.62     [ 'c_in'( 'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer', 
% 1.19/1.62    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.19/1.62    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ), 
% 1.19/1.62    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 1.19/1.62    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 1.19/1.62    'v_Aa' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.19/1.62    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ), 
% 1.19/1.62    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 1.19/1.62    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 1.19/1.62    'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'( 
% 1.19/1.62    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OMPair'( 
% 1.19/1.62    'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OAgent'( 'v_B' ) ) ) )
% 1.19/1.62     ) ) ) ) ) ), 'c_List_Oset'( 'v_evs3', 'tc_Event_Oevent' ), 
% 1.19/1.62    'tc_Event_Oevent' ) ],
% 1.19/1.62     [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 1.19/1.62     [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~( 'c_in'( 
% 1.19/1.62    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_Message_Oparts'( 
% 1.19/1.62    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' ) ), 
% 1.19/1.62    'tc_Message_Omsg' ) ) ],
% 1.19/1.62     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 
% 1.19/1.62    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs3' )
% 1.19/1.62     ), 'tc_Message_Omsg' ), ~( 'c_in'( 'v_A', 'c_Event_Obad', 
% 1.19/1.62    'tc_Message_Oagent' ) ) ],
% 1.19/1.62     [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( =( 
% 1.19/1.62    'c_Public_OshrK'( 'v_A' ), 'v_KAB' ) ) ],
% 1.19/1.62     [ =( 'c_Public_OshrK'( 'v_A' ), 'v_KAB' ), 'c_in'( 'v_A', 'c_Event_Obad'
% 1.19/1.62    , 'tc_Message_Oagent' ) ]
% 1.19/1.62  ] .
% 1.19/1.62  
% 1.19/1.62  
% 1.19/1.62  percentage equality = 0.227512, percentage horn = 0.909402
% 1.19/1.62  This is a problem with some equality
% 1.19/1.62  
% 1.19/1.62  
% 1.19/1.62  
% 1.19/1.62  Options Used:
% 1.19/1.62  
% 1.19/1.62  useres =            1
% 1.19/1.62  useparamod =        1
% 1.19/1.62  useeqrefl =         1
% 1.19/1.62  useeqfact =         1
% 1.19/1.62  usefactor =         1
% 1.19/1.62  usesimpsplitting =  0
% 1.19/1.62  usesimpdemod =      5
% 1.19/1.62  usesimpres =        3
% 1.19/1.62  
% 1.19/1.62  resimpinuse      =  1000
% 1.19/1.62  resimpclauses =     20000
% 1.19/1.62  substype =          eqrewr
% 1.19/1.62  backwardsubs =      1
% 1.19/1.62  selectoldest =      5
% 1.19/1.62  
% 1.19/1.62  litorderings [0] =  split
% 1.19/1.62  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.19/1.62  
% 1.19/1.62  termordering =      kbo
% 1.19/1.62  
% 1.19/1.62  litapriori =        0
% 1.19/1.62  termapriori =       1
% 1.19/1.62  litaposteriori =    0
% 1.19/1.62  termaposteriori =   0
% 1.19/1.62  demodaposteriori =  0
% 1.19/1.62  ordereqreflfact =   0
% 1.19/1.62  
% 1.19/1.62  litselect =         negord
% 1.19/1.62  
% 1.19/1.62  maxweight =         15
% 1.19/1.62  maxdepth =          30000
% 1.19/1.62  maxlength =         115
% 1.19/1.62  maxnrvars =         195
% 1.19/1.62  excuselevel =       1
% 1.19/1.62  increasemaxweight = 1
% 1.19/1.62  
% 1.19/1.62  maxselected =       10000000
% 1.19/1.62  maxnrclauses =      10000000
% 1.19/1.62  
% 1.19/1.62  showgenerated =    0
% 1.19/1.62  showkept =         0
% 1.19/1.62  showselected =     0
% 1.19/1.62  showdeleted =      0
% 1.19/1.62  showresimp =       1
% 1.19/1.62  showstatus =       2000
% 1.19/1.62  
% 1.19/1.62  prologoutput =     1
% 1.19/1.62  nrgoals =          5000000
% 1.19/1.62  totalproof =       1
% 1.19/1.62  
% 1.19/1.62  Symbols occurring in the translation:
% 1.19/1.62  
% 1.19/1.62  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.19/1.62  .  [1, 2]      (w:1, o:289, a:1, s:1, b:0), 
% 1.19/1.62  !  [4, 1]      (w:0, o:183, a:1, s:1, b:0), 
% 1.19/1.62  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.19/1.62  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_OLeaf'  [42, 3]      (w:1, o:399, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_ONumb'  [44, 3]      (w:1, o:400, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_Odprod'  [48, 4]      (w:1, o:465, a:1, s:1, b:0), 
% 1.19/1.62  'tc_Datatype__Universe_Onode'  [49, 2]      (w:1, o:314, a:1, s:1, b:0), 
% 1.19/1.62  'tc_set'  [50, 1]      (w:1, o:188, a:1, s:1, b:0), 
% 1.19/1.62  'tc_prod'  [51, 2]      (w:1, o:315, a:1, s:1, b:0), 
% 1.19/1.62  'c_in'  [52, 3]      (w:1, o:401, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdprodE__1'  [53, 5]      (w:1, o:496, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdprodE__2'  [54, 5]      (w:1, o:497, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:466, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdprodE__3'  [56, 5]      (w:1, o:498, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdprodE__4'  [57, 5]      (w:1, o:499, a:1, s:1, b:0), 
% 1.19/1.62  'c_Pair'  [58, 4]      (w:1, o:467, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_Odsum'  [64, 4]      (w:1, o:468, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdsumE__1'  [65, 4]      (w:1, o:473, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_OIn0'  [66, 3]      (w:1, o:402, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdsumE__2'  [67, 4]      (w:1, o:474, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdsumE__3'  [68, 4]      (w:1, o:475, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_OIn1'  [69, 3]      (w:1, o:403, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdsumE__4'  [70, 4]      (w:1, o:476, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_Ouprod'  [73, 4]      (w:1, o:477, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OuprodE__1'  [74, 5]      (w:1, o:500, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OuprodE__2'  [75, 5]      (w:1, o:501, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_Ousum'  [77, 4]      (w:1, o:478, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OusumE__1'  [78, 4]      (w:1, o:479, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OusumE__2'  [79, 4]      (w:1, o:480, a:1, s:1, b:0), 
% 1.19/1.62  'c_0'  [81, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 1.19/1.62  'tc_nat'  [82, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 1.19/1.62  'c_Divides_Oop_Advd'  [83, 3]      (w:1, o:404, a:1, s:1, b:0), 
% 1.19/1.62  'c_Suc'  [84, 1]      (w:1, o:189, a:1, s:1, b:0), 
% 1.19/1.62  'c_times'  [86, 3]      (w:1, o:406, a:1, s:1, b:0), 
% 1.19/1.62  'c_Divides_Oop_Amod'  [88, 3]      (w:1, o:407, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Omod__eq__0D__dest__1'  [89, 2]      (w:1, o:337, a:1, s:1, b:0), 
% 1.19/1.62  'c_emptyset'  [90, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 1.19/1.62  'c_Finite__Set_OFinites'  [91, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 1.19/1.62  'c_insert'  [93, 3]      (w:1, o:408, a:1, s:1, b:0), 
% 1.19/1.62  'c_inter'  [96, 3]      (w:1, o:409, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Ofinite__Union__1'  [97, 2]      (w:1, o:339, a:1, s:1, b:0), 
% 1.19/1.62  'c_Union'  [98, 2]      (w:1, o:345, a:1, s:1, b:0), 
% 1.19/1.62  'c_GCD_Ogcd'  [100, 1]      (w:1, o:190, a:1, s:1, b:0), 
% 1.19/1.62  'c_Infinite__Set_Oatmost__one'  [102, 2]      (w:1, o:348, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_IntDef_Oint'  [103, 1]      (w:1, o:191, a:1, s:1, b:0), 
% 1.19/1.62  'tc_IntDef_Oint'  [104, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 1.19/1.62  'c_uminus'  [105, 2]      (w:1, o:349, a:1, s:1, b:0), 
% 1.19/1.62  'c_lessequals'  [106, 3]      (w:1, o:410, a:1, s:1, b:0), 
% 1.19/1.62  'c_less'  [107, 3]      (w:1, o:411, a:1, s:1, b:0), 
% 1.19/1.62  'c_1'  [108, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Ozmod__eq__0D__dest__1'  [109, 2]      (w:1, o:350, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'c_List_Oremdups'  [111, 2]      (w:1, o:316, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Odistinct'  [112, 2]      (w:1, o:320, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oset'  [113, 2]      (w:1, o:323, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olists'  [114, 2]      (w:1, o:325, a:1, s:1, b:0), 
% 1.19/1.62  'tc_List_Olist'  [115, 1]      (w:1, o:192, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Oin__listsI__1'  [117, 3]      (w:1, o:427, a:1, s:1, b:0), 
% 1.19/1.62  'c_Nat_Osize'  [118, 2]      (w:1, o:363, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olist_OCons'  [120, 3]      (w:1, o:412, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olistrel'  [121, 2]      (w:1, o:324, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Olistrel__Cons1__1'  [122, 5]      (w:1, o:502, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Olistrel__Cons1__2'  [123, 5]      (w:1, o:503, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Olistrel__Cons2__1'  [124, 5]      (w:1, o:504, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Olistrel__Cons2__2'  [125, 5]      (w:1, o:505, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olist_ONil'  [126, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 1.19/1.62  'c_Wellfounded__Recursion_Owf'  [128, 2]      (w:1, o:364, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_List_Olenlex'  [129, 2]      (w:1, o:326, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olex'  [130, 2]      (w:1, o:327, a:1, s:1, b:0), 
% 1.19/1.62  'class_Orderings_Oorder'  [131, 1]      (w:1, o:196, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_ODomain'  [132, 3]      (w:1, o:428, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_ODomainE__1'  [133, 4]      (w:1, o:481, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_OId'  [136, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OIdE__1'  [137, 2]      (w:1, o:351, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_OImage'  [138, 4]      (w:1, o:482, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OImageE__1'  [139, 5]      (w:1, o:506, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_ORange'  [140, 3]      (w:1, o:429, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_ORangeE__1'  [141, 4]      (w:1, o:483, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_Oconverse'  [143, 3]      (w:1, o:430, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OconverseE__1'  [144, 4]      (w:1, o:471, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OconverseE__2'  [145, 4]      (w:1, o:472, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_Odiag'  [146, 2]      (w:1, o:365, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OdiagE__1'  [147, 3]      (w:1, o:431, a:1, s:1, b:0), 
% 1.19/1.62  'c_Relation_Orel__comp'  [150, 5]      (w:1, o:507, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Orel__compE__2'  [151, 6]      (w:1, o:509, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Orel__compE__3'  [152, 6]      (w:1, o:510, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Orel__compE__1'  [153, 6]      (w:1, o:508, a:1, s:1, b:0), 
% 1.19/1.62  'c_SetInterval_OatLeastAtMost'  [154, 3]      (w:1, o:432, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_SetInterval_OatLeastLessThan'  [155, 3]      (w:1, o:433, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'c_SetInterval_OatMost'  [156, 2]      (w:1, o:367, a:1, s:1, b:0), 
% 1.19/1.62  'c_SetInterval_OgreaterThanAtMost'  [157, 3]      (w:1, o:434, a:1, s:1, b:
% 1.19/1.62    0), 
% 1.19/1.62  'c_SetInterval_OgreaterThanLessThan'  [158, 3]      (w:1, o:435, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'c_SetInterval_OlessThan'  [159, 2]      (w:1, o:368, a:1, s:1, b:0), 
% 1.19/1.62  'c_Inter'  [161, 2]      (w:1, o:369, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OInterI__1'  [162, 3]      (w:1, o:436, a:1, s:1, b:0), 
% 1.19/1.62  'c_UNIV'  [163, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OUnionE__1'  [164, 3]      (w:1, o:437, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OsubsetI__1'  [165, 3]      (w:1, o:438, a:1, s:1, b:0), 
% 1.19/1.62  'c_Sum__Type_OInl'  [166, 3]      (w:1, o:439, a:1, s:1, b:0), 
% 1.19/1.62  'c_Sum__Type_OPlus'  [167, 4]      (w:1, o:484, a:1, s:1, b:0), 
% 1.19/1.62  'tc_sum'  [168, 2]      (w:1, o:370, a:1, s:1, b:0), 
% 1.19/1.62  'c_Sum__Type_OInr'  [169, 3]      (w:1, o:440, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OPlusE__1'  [170, 4]      (w:1, o:485, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OPlusE__2'  [171, 4]      (w:1, o:486, a:1, s:1, b:0), 
% 1.19/1.62  'c_Transitive__Closure_Ortrancl'  [172, 2]      (w:1, o:343, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'c_Transitive__Closure_Otrancl'  [173, 2]      (w:1, o:344, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'c_Wellfounded__Relations_Oless__than'  [174, 0]      (w:1, o:93, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'c_Relation_Otrans'  [175, 2]      (w:1, o:366, a:1, s:1, b:0), 
% 1.19/1.62  'c_Wellfounded__Relations_Olex__prod'  [178, 4]      (w:1, o:487, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'tc_Datatype_Ooption'  [182, 1]      (w:1, o:197, a:1, s:1, b:0), 
% 1.19/1.62  'class_Finite__Set_Ofinite'  [183, 1]      (w:1, o:198, a:1, s:1, b:0), 
% 1.19/1.62  'class_HOL_Ominus'  [184, 1]      (w:1, o:199, a:1, s:1, b:0), 
% 1.19/1.62  'class_HOL_Oone'  [185, 1]      (w:1, o:200, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Osemiring'  [186, 1]      (w:1, o:203, a:1, s:1, b:
% 1.19/1.62    0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__semiring'  [187, 1]      (w:1, o:206, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Ocomm__monoid__add'  [188, 1]      (w:1, o:207, a:1, s:
% 1.19/1.62    1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Osemiring__0'  [189, 1]      (w:1, o:208, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__semiring__0'  [190, 1]      (w:1, o:209, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Ocancel__semigroup__add'  [191, 1]      (w:1, o:210, a:
% 1.19/1.62    1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [192, 1]      (w:1, o:211
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Oab__group__add'  [193, 1]      (w:1, o:212, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_Ring__and__Field_Osemiring__0__cancel'  [194, 1]      (w:1, o:213
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oring'  [195, 1]      (w:1, o:201, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'class_HOL_Oplus'  [196, 1]      (w:1, o:214, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [197, 1]      (w:1, o:
% 1.19/1.62    215, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__ring'  [198, 1]      (w:1, o:204, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oaxclass__0__neq__1'  [199, 1]      (w:1, o:216, a:
% 1.19/1.62    1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Omonoid__mult'  [200, 1]      (w:1, o:221, a:1, s:1, b:
% 1.19/1.62    0), 
% 1.19/1.62  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:222, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Osemiring__1'  [202, 1]      (w:1, o:223, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__semiring__1'  [203, 1]      (w:1, o:224, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Osemiring__1__cancel'  [204, 1]      (w:1, o:225
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oring__1'  [205, 1]      (w:1, o:202, a:1, s:1, b:0
% 1.19/1.62    ), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [206, 1]      (w:1, o:
% 1.19/1.62    226, a:1, s:1, b:0), 
% 1.19/1.62  'class_HOL_Otimes'  [207, 1]      (w:1, o:227, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ocomm__ring__1'  [208, 1]      (w:1, o:205, a:1, s:
% 1.19/1.62    1, b:0), 
% 1.19/1.62  'class_LOrder_Omeet__semilorder'  [209, 1]      (w:1, o:229, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'class_LOrder_Ojoin__semilorder'  [210, 1]      (w:1, o:230, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'class_LOrder_Olorder'  [211, 1]      (w:1, o:228, a:1, s:1, b:0), 
% 1.19/1.62  'class_Orderings_Olinorder'  [212, 1]      (w:1, o:231, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Opordered__ab__semigroup__add'  [213, 1]      (w:1, o:
% 1.19/1.62    233, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [214, 1]      
% 1.19/1.62    (w:1, o:234, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [215, 1]      
% 1.19/1.62    (w:1, o:235, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [216, 1]      
% 1.19/1.62    (w:1, o:232, a:1, s:1, b:0), 
% 1.19/1.62  'class_HOL_Ozero'  [217, 1]      (w:1, o:236, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__semiring'  [218, 1]      (w:1, o:244, a:
% 1.19/1.62    1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__cancel__semiring'  [219, 1]      (w:1
% 1.19/1.62    , o:245, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oordered__semiring__strict'  [220, 1]      (w:1, o:
% 1.19/1.62    238, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__comm__semiring'  [221, 1]      (w:1, o:
% 1.19/1.62    247, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [222, 1]      
% 1.19/1.62    (w:1, o:248, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [223, 1]      
% 1.19/1.62    (w:1, o:239, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oaxclass__abs__if'  [224, 1]      (w:1, o:249, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Opordered__ab__group__add'  [225, 1]      (w:1, o:250
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Olordered__ab__group'  [226, 1]      (w:1, o:217, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__ring'  [227, 1]      (w:1, o:243, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Orderings_Oord'  [228, 1]      (w:1, o:251, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Olordered__ab__group__abs'  [229, 1]      (w:1, o:218
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Olordered__ab__group__meet'  [230, 1]      (w:1, o:219
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Olordered__ab__group__join'  [231, 1]      (w:1, o:220
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Olordered__ring'  [232, 1]      (w:1, o:252, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [233, 1]      (w:1
% 1.19/1.62    , o:253, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oordered__ring__strict'  [234, 1]      (w:1, o:237
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oordered__semidom'  [235, 1]      (w:1, o:240, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Oidom'  [236, 1]      (w:1, o:254, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'class_Ring__and__Field_Oordered__idom'  [237, 1]      (w:1, o:241, a:1, s:
% 1.19/1.62    1, b:0), 
% 1.19/1.62  'class_Numeral_Onumber'  [238, 1]      (w:1, o:193, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Osemigroup__add'  [239, 1]      (w:1, o:255, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_Numeral_Onumber__ring'  [240, 1]      (w:1, o:194, a:1, s:1, b:0), 
% 1.19/1.62  'class_Divides_Odiv'  [241, 1]      (w:1, o:256, a:1, s:1, b:0), 
% 1.19/1.62  'class_Nat_Opower'  [242, 1]      (w:1, o:195, a:1, s:1, b:0), 
% 1.19/1.62  'class_Power_Orecpower'  [243, 1]      (w:1, o:260, a:1, s:1, b:0), 
% 1.19/1.62  'class_Parity_Oeven__odd'  [244, 1]      (w:1, o:261, a:1, s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Oab__semigroup__add'  [245, 1]      (w:1, o:257, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_OrderedGroup_Osemigroup__mult'  [246, 1]      (w:1, o:258, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'class_OrderedGroup_Oab__semigroup__mult'  [247, 1]      (w:1, o:259, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'tc_Product__Type_Ounit'  [248, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 1.19/1.62  'tc_bool'  [249, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.19/1.62  'tc_fun'  [251, 2]      (w:1, o:371, a:1, s:1, b:0), 
% 1.19/1.62  'class_Wellfounded__Recursion_Owellorder'  [252, 1]      (w:1, o:262, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Odivision__by__zero'  [254, 1]      (w:1, o:263, a:
% 1.19/1.62    1, s:1, b:0), 
% 1.19/1.62  'class_HOL_Oinverse'  [255, 1]      (w:1, o:264, a:1, s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Ofield'  [256, 1]      (w:1, o:265, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'class_Ring__and__Field_Oordered__field'  [257, 1]      (w:1, o:242, a:1
% 1.19/1.62    , s:1, b:0), 
% 1.19/1.62  'class_Ring__and__Field_Opordered__comm__ring'  [258, 1]      (w:1, o:246
% 1.19/1.62    , a:1, s:1, b:0), 
% 1.19/1.62  'c_Binomial_Obinomial'  [259, 2]      (w:1, o:372, a:1, s:1, b:0), 
% 1.19/1.62  'c_plus'  [260, 3]      (w:1, o:441, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype_Oo2s'  [262, 2]      (w:1, o:373, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype_Ooption_OSome'  [263, 2]      (w:1, o:374, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype_Ooption_ONone'  [264, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Onot__None__eq__1'  [265, 2]      (w:1, o:352, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Onot__Some__eq__1'  [266, 2]      (w:1, o:353, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype_Othe'  [269, 2]      (w:1, o:375, a:1, s:1, b:0), 
% 1.19/1.62  'c_Product__Type_OUnity'  [270, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype_Ounit_Ounit__case'  [271, 3]      (w:1, o:442, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_Datatype_Ounit_Ounit__rec'  [272, 3]      (w:1, o:443, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_OAtom'  [273, 3]      (w:1, o:444, a:1, s:1, b:0), 
% 1.19/1.62  'c_Datatype__Universe_Ontrunc'  [274, 4]      (w:1, o:488, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_div'  [276, 3]      (w:1, o:445, a:1, s:1, b:0), 
% 1.19/1.62  'c_Equiv__Relations_Oquotient'  [277, 3]      (w:1, o:446, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_Extraction_Osumbool_OLeft'  [279, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 1.19/1.62  'c_Extraction_Osumbool_Osumbool__case'  [280, 4]      (w:1, o:489, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'c_Extraction_Osumbool_ORight'  [282, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 1.19/1.62  'c_Extraction_Osumbool_Osumbool__rec'  [283, 4]      (w:1, o:490, a:1, s:1
% 1.19/1.62    , b:0), 
% 1.19/1.62  'tc_Extraction_Osumbool'  [284, 0]      (w:1, o:113, a:1, s:1, b:0), 
% 1.19/1.62  'c_Finite__Set_OMax'  [285, 2]      (w:1, o:379, a:1, s:1, b:0), 
% 1.19/1.62  'c_Orderings_Omax'  [286, 3]      (w:1, o:452, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OMax__le__iff__1'  [287, 3]      (w:1, o:453, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OMax__less__iff__1'  [288, 3]      (w:1, o:454, a:1, s:1, b:0), 
% 1.19/1.62  'c_Finite__Set_OMin'  [289, 2]      (w:1, o:380, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OMin__ge__iff__1'  [290, 3]      (w:1, o:455, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_OMin__gr__iff__1'  [291, 3]      (w:1, o:456, a:1, s:1, b:0), 
% 1.19/1.62  'c_Orderings_Omin'  [292, 3]      (w:1, o:457, a:1, s:1, b:0), 
% 1.19/1.62  'c_Finite__Set_Ocard'  [293, 2]      (w:1, o:381, a:1, s:1, b:0), 
% 1.19/1.62  'c_minus'  [295, 3]      (w:1, o:458, a:1, s:1, b:0), 
% 1.19/1.62  'c_Pow'  [296, 2]      (w:1, o:384, a:1, s:1, b:0), 
% 1.19/1.62  'c_union'  [297, 3]      (w:1, o:459, a:1, s:1, b:0), 
% 1.19/1.62  'c_NatArith_Oof__nat'  [298, 2]      (w:1, o:385, a:1, s:1, b:0), 
% 1.19/1.62  'c_Fun_Oid'  [299, 2]      (w:1, o:386, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_OMin'  [300, 0]      (w:1, o:117, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_Onumber__of'  [301, 2]      (w:1, o:387, a:1, s:1, b:0), 
% 1.19/1.62  'c_HOL_Oabs'  [302, 2]      (w:1, o:346, a:1, s:1, b:0), 
% 1.19/1.62  'c_Nat_Opower'  [303, 3]      (w:1, o:451, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_OPls'  [304, 0]      (w:1, o:118, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_Obin__minus'  [305, 1]      (w:1, o:277, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_Obin__add'  [306, 2]      (w:1, o:388, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_Oneg'  [307, 2]      (w:1, o:389, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_Obit_OB1'  [308, 0]      (w:1, o:120, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_OBit'  [309, 2]      (w:1, o:390, a:1, s:1, b:0), 
% 1.19/1.62  'c_Numeral_Obit_OB0'  [310, 0]      (w:1, o:119, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_Oiszero'  [312, 2]      (w:1, o:391, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_Onat'  [313, 1]      (w:1, o:278, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_Oof__int'  [314, 2]      (w:1, o:392, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_OInteg'  [316, 0]      (w:1, o:122, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_OAbs__Integ'  [317, 1]      (w:1, o:279, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_ORep__Integ'  [318, 1]      (w:1, o:280, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_OInts'  [319, 0]      (w:1, o:123, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_ONats'  [320, 0]      (w:1, o:124, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDef_Ointrel'  [321, 0]      (w:1, o:125, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDiv_OposDivAlg'  [322, 1]      (w:1, o:281, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDiv_OnegateSnd'  [323, 1]      (w:1, o:282, a:1, s:1, b:0), 
% 1.19/1.62  'c_fst'  [324, 3]      (w:1, o:460, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDiv_OnegDivAlg'  [325, 1]      (w:1, o:283, a:1, s:1, b:0), 
% 1.19/1.62  'c_snd'  [326, 3]      (w:1, o:405, a:1, s:1, b:0), 
% 1.19/1.62  'c_IntDiv_Oadjust'  [327, 2]      (w:1, o:393, a:1, s:1, b:0), 
% 1.19/1.62  'c_LOrder_Ojoin'  [329, 3]      (w:1, o:413, a:1, s:1, b:0), 
% 1.19/1.62  'c_LOrder_Omeet'  [330, 3]      (w:1, o:414, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oconcat'  [332, 2]      (w:1, o:318, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_ONil__eq__concat__conv__1'  [333, 2]      (w:1, o:354, a:1, s:1, b:
% 1.19/1.62    0), 
% 1.19/1.62  'c_append'  [334, 3]      (w:1, o:461, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Orev'  [335, 2]      (w:1, o:321, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Obutlast'  [337, 2]      (w:1, o:317, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olast'  [338, 2]      (w:1, o:328, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Otake'  [341, 3]      (w:1, o:418, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Odrop'  [342, 3]      (w:1, o:419, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Ochar_OChar'  [345, 2]      (w:1, o:319, a:1, s:1, b:0), 
% 1.19/1.62  'tc_List_Ochar'  [348, 0]      (w:1, o:131, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Oconcat__eq__Nil__conv__1'  [349, 2]      (w:1, o:355, a:1, s:1, b:
% 1.19/1.62    0), 
% 1.19/1.62  'c_List_Orotate1'  [350, 2]      (w:1, o:322, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oremove1'  [351, 3]      (w:1, o:420, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Orotate'  [352, 3]      (w:1, o:421, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Osublist'  [354, 3]      (w:1, o:416, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oupt'  [356, 2]      (w:1, o:330, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oreplicate'  [357, 3]      (w:1, o:415, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Ohd'  [358, 2]      (w:1, o:331, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Otl'  [359, 2]      (w:1, o:329, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oitrev'  [360, 3]      (w:1, o:422, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olist__update'  [362, 4]      (w:1, o:469, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Ozip'  [363, 4]      (w:1, o:470, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olexn'  [364, 3]      (w:1, o:423, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olexord'  [365, 2]      (w:1, o:332, a:1, s:1, b:0), 
% 1.19/1.62  'c_Main_Olexord__Nil__left__1'  [366, 2]      (w:1, o:335, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_Main_Olexord__Nil__left__2'  [367, 2]      (w:1, o:336, a:1, s:1, b:0), 
% 1.19/1.62    
% 1.19/1.62  'c_List_Olist__inter'  [373, 3]      (w:1, o:424, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onth'  [374, 3]      (w:1, o:425, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Olistset'  [375, 2]      (w:1, o:333, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Oset__Cons'  [377, 3]      (w:1, o:417, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble9'  [391, 0]      (w:1, o:144, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_Onibble__case'  [392, 18]      (w:1, o:511, a:1, s:1, b:0)
% 1.19/1.62    , 
% 1.19/1.62  'c_List_Onibble_ONibbleA'  [394, 0]      (w:1, o:145, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibbleB'  [395, 0]      (w:1, o:146, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibbleC'  [396, 0]      (w:1, o:147, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibbleD'  [397, 0]      (w:1, o:148, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibbleE'  [398, 0]      (w:1, o:149, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibbleF'  [399, 0]      (w:1, o:150, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble0'  [400, 0]      (w:1, o:151, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble1'  [401, 0]      (w:1, o:152, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble2'  [402, 0]      (w:1, o:153, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble3'  [403, 0]      (w:1, o:154, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble4'  [404, 0]      (w:1, o:155, a:1, s:1, b:0), 
% 1.19/1.62  'c_List_Onibble_ONibble5'  [405, 0]      (w:1, o:156, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Onibble_ONibble6'  [406, 0]      (w:1, o:157, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Onibble_ONibble7'  [407, 0]      (w:1, o:158, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Onibble_ONibble8'  [408, 0]      (w:1, o:143, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Onibble_Onibble__rec'  [409, 18]      (w:1, o:512, a:1, s:1, b:0), 
% 6.91/7.26    
% 6.91/7.26  'tc_List_Onibble'  [410, 0]      (w:1, o:159, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Onull'  [411, 2]      (w:1, o:334, a:1, s:1, b:0), 
% 6.91/7.26  'c_List_Oop_Amem'  [412, 3]      (w:1, o:426, a:1, s:1, b:0), 
% 6.91/7.26  'c_Map_Omap__of'  [415, 4]      (w:1, o:491, a:1, s:1, b:0), 
% 6.91/7.26  'c_Numeral_Obin__succ'  [416, 1]      (w:1, o:284, a:1, s:1, b:0), 
% 6.91/7.26  'c_Numeral_Obin__mult'  [418, 2]      (w:1, o:394, a:1, s:1, b:0), 
% 6.91/7.26  'c_divide'  [419, 3]      (w:1, o:462, a:1, s:1, b:0), 
% 6.91/7.26  'c_HOL_Oinverse'  [420, 2]      (w:1, o:347, a:1, s:1, b:0), 
% 6.91/7.26  'c_Numeral_Obin__pred'  [421, 1]      (w:1, o:285, a:1, s:1, b:0), 
% 6.91/7.26  'c_Numeral_Obit_Obit__case'  [422, 4]      (w:1, o:492, a:1, s:1, b:0), 
% 6.91/7.26  'c_Numeral_Obit_Obit__rec'  [423, 4]      (w:1, o:493, a:1, s:1, b:0), 
% 6.91/7.26  'tc_Numeral_Obit'  [424, 0]      (w:1, o:162, a:1, s:1, b:0), 
% 6.91/7.26  'c_OrderedGroup_Onprt'  [425, 2]      (w:1, o:382, a:1, s:1, b:0), 
% 6.91/7.26  'c_OrderedGroup_Opprt'  [426, 2]      (w:1, o:383, a:1, s:1, b:0), 
% 6.91/7.26  'c_Parity_Oeven'  [427, 2]      (w:1, o:395, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_Osurj__pair__1'  [429, 3]      (w:1, o:447, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_Osurj__pair__2'  [430, 3]      (w:1, o:448, a:1, s:1, b:0), 
% 6.91/7.26  'c_SetInterval_OatLeast'  [432, 2]      (w:1, o:340, a:1, s:1, b:0), 
% 6.91/7.26  'c_SetInterval_OgreaterThan'  [433, 2]      (w:1, o:341, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_OInter__UNIV__conv__1__1'  [434, 2]      (w:1, o:356, a:1, s:1, b:0
% 6.91/7.26    ), 
% 6.91/7.26  'c_Main_OInter__UNIV__conv__2__1'  [435, 2]      (w:1, o:357, a:1, s:1, b:0
% 6.91/7.26    ), 
% 6.91/7.26  'c_Main_OInter__iff__1'  [436, 3]      (w:1, o:449, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_OUnion__empty__conv__1'  [437, 2]      (w:1, o:358, a:1, s:1, b:0)
% 6.91/7.26    , 
% 6.91/7.26  'c_Main_OUnion__iff__1'  [438, 3]      (w:1, o:450, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_Oall__not__in__conv__1'  [439, 2]      (w:1, o:359, a:1, s:1, b:0)
% 6.91/7.26    , 
% 6.91/7.26  'c_Set_Ocontents'  [440, 2]      (w:1, o:342, a:1, s:1, b:0), 
% 6.91/7.26  'c_Main_Oempty__Union__conv__1'  [441, 2]      (w:1, o:338, a:1, s:1, b:0)
% 6.91/7.26    , 
% 6.91/7.26  'c_Wellfounded__Recursion_Oacyclic'  [442, 2]      (w:1, o:396, a:1, s:1
% 6.91/7.26    , b:0), 
% 6.91/7.26  'c_Message_Omsg_OMPair'  [445, 2]      (w:1, o:360, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Oparts'  [447, 1]      (w:1, o:266, a:1, s:1, b:0), 
% 6.91/7.26  'tc_Message_Omsg'  [448, 0]      (w:1, o:160, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Oagent_OServer'  [449, 0]      (w:1, o:114, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Oagent_OFriend'  [451, 1]      (w:1, o:267, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Oagent_OSpy'  [452, 0]      (w:1, o:115, a:1, s:1, b:0), 
% 6.91/7.26  'tc_Message_Oagent'  [454, 0]      (w:1, o:161, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_OinvKey'  [455, 1]      (w:1, o:268, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_OkeysFor'  [459, 1]      (w:1, o:269, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_OAgent'  [460, 1]      (w:1, o:270, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_OCrypt'  [461, 2]      (w:1, o:361, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_OHash'  [462, 1]      (w:1, o:271, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_OKey'  [463, 1]      (w:1, o:272, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_ONonce'  [464, 1]      (w:1, o:273, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Omsg_ONumber'  [465, 1]      (w:1, o:274, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Obad'  [474, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Oknows'  [476, 2]      (w:1, o:376, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Oused'  [477, 1]      (w:1, o:286, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Oevent_OSays'  [480, 3]      (w:1, o:463, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Oevent_OGets'  [481, 2]      (w:1, o:377, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_Oevent_ONotes'  [482, 2]      (w:1, o:378, a:1, s:1, b:0), 
% 6.91/7.26  'tc_Event_Oevent'  [485, 0]      (w:1, o:170, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Osynth'  [486, 1]      (w:1, o:275, a:1, s:1, b:0), 
% 6.91/7.26  'v_sko__uhi'  [487, 2]      (w:1, o:397, a:1, s:1, b:0), 
% 6.91/7.26  'c_Event_OinitState'  [488, 1]      (w:1, o:287, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_Oanalz'  [489, 1]      (w:1, o:276, a:1, s:1, b:0), 
% 6.91/7.26  'c_Message_OHPair'  [492, 2]      (w:1, o:362, a:1, s:1, b:0), 
% 6.91/7.26  'c_Public_OpublicKey'  [495, 2]      (w:1, o:398, a:1, s:1, b:0), 
% 19.69/20.12  'c_Public_OshrK'  [496, 1]      (w:1, o:288, a:1, s:1, b:0), 
% 19.69/20.12  'c_Message_OsymKeys'  [497, 0]      (w:1, o:116, a:1, s:1, b:0), 
% 19.69/20.12  'c_Public_Okeymode_OSignature'  [498, 0]      (w:1, o:173, a:1, s:1, b:0), 
% 19.69/20.12    
% 19.69/20.12  'c_Public_Okeymode_Okeymode__case'  [499, 4]      (w:1, o:494, a:1, s:1, b:
% 19.69/20.12    0), 
% 19.69/20.12  'c_Public_Okeymode_OEncryption'  [500, 0]      (w:1, o:174, a:1, s:1, b:0)
% 19.69/20.12    , 
% 19.69/20.12  'c_Public_Okeymode_Okeymode__rec'  [501, 4]      (w:1, o:495, a:1, s:1, b:0
% 19.69/20.12    ), 
% 19.69/20.12  'tc_Public_Okeymode'  [502, 0]      (w:1, o:175, a:1, s:1, b:0), 
% 19.69/20.12  'c_OtwayRees_Ootway'  [504, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 19.69/20.12  'v_sko__usf'  [505, 3]      (w:1, o:464, a:1, s:1, b:0), 
% 19.69/20.12  'v_evs3'  [506, 0]      (w:1, o:176, a:1, s:1, b:0), 
% 19.69/20.12  'v_KAB'  [507, 0]      (w:1, o:177, a:1, s:1, b:0), 
% 19.69/20.12  'v_NA'  [508, 0]      (w:1, o:178, a:1, s:1, b:0), 
% 19.69/20.12  'v_Aa'  [509, 0]      (w:1, o:179, a:1, s:1, b:0), 
% 19.69/20.12  'v_B'  [510, 0]      (w:1, o:181, a:1, s:1, b:0), 
% 19.69/20.12  'v_NB'  [511, 0]      (w:1, o:182, a:1, s:1, b:0), 
% 19.69/20.12  'v_A'  [512, 0]      (w:1, o:180, a:1, s:1, b:0).
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Starting Search:
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    3307
% 19.69/20.12  Kept:         2939
% 19.69/20.12  Inuse:        0
% 19.69/20.12  Deleted:      0
% 19.69/20.12  Deletedinuse: 0
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    10779
% 19.69/20.12  Kept:         5207
% 19.69/20.12  Inuse:        270
% 19.69/20.12  Deleted:      1
% 19.69/20.12  Deletedinuse: 0
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    14964
% 19.69/20.12  Kept:         7224
% 19.69/20.12  Inuse:        445
% 19.69/20.12  Deleted:      2
% 19.69/20.12  Deletedinuse: 1
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    19478
% 19.69/20.12  Kept:         9947
% 19.69/20.12  Inuse:        500
% 19.69/20.12  Deleted:      2
% 19.69/20.12  Deletedinuse: 1
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    24669
% 19.69/20.12  Kept:         11975
% 19.69/20.12  Inuse:        613
% 19.69/20.12  Deleted:      4
% 19.69/20.12  Deletedinuse: 1
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    33948
% 19.69/20.12  Kept:         14316
% 19.69/20.12  Inuse:        1226
% 19.69/20.12  Deleted:      6
% 19.69/20.12  Deletedinuse: 1
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    40180
% 19.69/20.12  Kept:         17028
% 19.69/20.12  Inuse:        1250
% 19.69/20.12  Deleted:      7
% 19.69/20.12  Deletedinuse: 1
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    46515
% 19.69/20.12  Kept:         19077
% 19.69/20.12  Inuse:        1300
% 19.69/20.12  Deleted:      8
% 19.69/20.12  Deletedinuse: 2
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying clauses:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    56296
% 19.69/20.12  Kept:         21942
% 19.69/20.12  Inuse:        1330
% 19.69/20.12  Deleted:      199
% 19.69/20.12  Deletedinuse: 2
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    69056
% 19.69/20.12  Kept:         24853
% 19.69/20.12  Inuse:        1355
% 19.69/20.12  Deleted:      199
% 19.69/20.12  Deletedinuse: 2
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    76819
% 19.69/20.12  Kept:         26855
% 19.69/20.12  Inuse:        1453
% 19.69/20.12  Deleted:      201
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    83601
% 19.69/20.12  Kept:         28864
% 19.69/20.12  Inuse:        1497
% 19.69/20.12  Deleted:      201
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    90268
% 19.69/20.12  Kept:         30869
% 19.69/20.12  Inuse:        1545
% 19.69/20.12  Deleted:      201
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    96486
% 19.69/20.12  Kept:         33021
% 19.69/20.12  Inuse:        1565
% 19.69/20.12  Deleted:      201
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    102066
% 19.69/20.12  Kept:         35040
% 19.69/20.12  Inuse:        1576
% 19.69/20.12  Deleted:      202
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    107230
% 19.69/20.12  Kept:         37292
% 19.69/20.12  Inuse:        1584
% 19.69/20.12  Deleted:      202
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    112899
% 19.69/20.12  Kept:         39564
% 19.69/20.12  Inuse:        1593
% 19.69/20.12  Deleted:      203
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  Resimplifying clauses:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    118851
% 19.69/20.12  Kept:         41579
% 19.69/20.12  Inuse:        1606
% 19.69/20.12  Deleted:      2123
% 19.69/20.12  Deletedinuse: 4
% 19.69/20.12  
% 19.69/20.12  Resimplifying inuse:
% 19.69/20.12  Done
% 19.69/20.12  
% 19.69/20.12  
% 19.69/20.12  Intermediate Status:
% 19.69/20.12  Generated:    124725
% 19.69/20.12  Kept:         43753
% 60.47/60.82  Inuse:        1613
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    131168
% 60.47/60.82  Kept:         45997
% 60.47/60.82  Inuse:        1623
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    137595
% 60.47/60.82  Kept:         48434
% 60.47/60.82  Inuse:        1633
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    144015
% 60.47/60.82  Kept:         50788
% 60.47/60.82  Inuse:        1643
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    151390
% 60.47/60.82  Kept:         53541
% 60.47/60.82  Inuse:        1658
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    158857
% 60.47/60.82  Kept:         55701
% 60.47/60.82  Inuse:        1693
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    165783
% 60.47/60.82  Kept:         57717
% 60.47/60.82  Inuse:        1725
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    172877
% 60.47/60.82  Kept:         60056
% 60.47/60.82  Inuse:        1733
% 60.47/60.82  Deleted:      2123
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying clauses:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    180210
% 60.47/60.82  Kept:         62086
% 60.47/60.82  Inuse:        1754
% 60.47/60.82  Deleted:      5179
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    187344
% 60.47/60.82  Kept:         64116
% 60.47/60.82  Inuse:        1789
% 60.47/60.82  Deleted:      5179
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    193220
% 60.47/60.82  Kept:         66261
% 60.47/60.82  Inuse:        1803
% 60.47/60.82  Deleted:      5179
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    209265
% 60.47/60.82  Kept:         69194
% 60.47/60.82  Inuse:        1833
% 60.47/60.82  Deleted:      5179
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    218713
% 60.47/60.82  Kept:         71408
% 60.47/60.82  Inuse:        1863
% 60.47/60.82  Deleted:      5179
% 60.47/60.82  Deletedinuse: 4
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    230716
% 60.47/60.82  Kept:         73490
% 60.47/60.82  Inuse:        1888
% 60.47/60.82  Deleted:      5180
% 60.47/60.82  Deletedinuse: 5
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    236307
% 60.47/60.82  Kept:         75503
% 60.47/60.82  Inuse:        1897
% 60.47/60.82  Deleted:      5180
% 60.47/60.82  Deletedinuse: 5
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    244732
% 60.47/60.82  Kept:         77525
% 60.47/60.82  Inuse:        1901
% 60.47/60.82  Deleted:      5180
% 60.47/60.82  Deletedinuse: 5
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    250032
% 60.47/60.82  Kept:         79623
% 60.47/60.82  Inuse:        1908
% 60.47/60.82  Deleted:      5180
% 60.47/60.82  Deletedinuse: 5
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying clauses:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    261536
% 60.47/60.82  Kept:         81650
% 60.47/60.82  Inuse:        1933
% 60.47/60.82  Deleted:      5409
% 60.47/60.82  Deletedinuse: 6
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    269711
% 60.47/60.82  Kept:         84288
% 60.47/60.82  Inuse:        1948
% 60.47/60.82  Deleted:      5409
% 60.47/60.82  Deletedinuse: 6
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    275102
% 60.47/60.82  Kept:         86341
% 60.47/60.82  Inuse:        1953
% 60.47/60.82  Deleted:      5409
% 60.47/60.82  Deletedinuse: 6
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    283634
% 60.47/60.82  Kept:         88965
% 60.47/60.82  Inuse:        1968
% 60.47/60.82  Deleted:      5409
% 60.47/60.82  Deletedinuse: 6
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    292985
% 60.47/60.82  Kept:         90997
% 60.47/60.82  Inuse:        2009
% 60.47/60.82  Deleted:      5411
% 60.47/60.82  Deletedinuse: 7
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    302611
% 60.47/60.82  Kept:         93165
% 60.47/60.82  Inuse:        2012
% 60.47/60.82  Deleted:      5411
% 60.47/60.82  Deletedinuse: 7
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    307761
% 60.47/60.82  Kept:         95205
% 60.47/60.82  Inuse:        2038
% 60.47/60.82  Deleted:      5411
% 60.47/60.82  Deletedinuse: 7
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 60.47/60.82  Generated:    313321
% 60.47/60.82  Kept:         97231
% 60.47/60.82  Inuse:        2065
% 60.47/60.82  Deleted:      5411
% 60.47/60.82  Deletedinuse: 7
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  Resimplifying inuse:
% 60.47/60.82  Done
% 60.47/60.82  
% 60.47/60.82  
% 60.47/60.82  Intermediate Status:
% 115.78/116.15  Generated:    326645
% 115.78/116.15  Kept:         99294
% 115.78/116.15  Inuse:        2093
% 115.78/116.15  Deleted:      5414
% 115.78/116.15  Deletedinuse: 10
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    332785
% 115.78/116.15  Kept:         101335
% 115.78/116.15  Inuse:        2118
% 115.78/116.15  Deleted:      5414
% 115.78/116.15  Deletedinuse: 10
% 115.78/116.15  
% 115.78/116.15  Resimplifying clauses:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    338278
% 115.78/116.15  Kept:         103339
% 115.78/116.15  Inuse:        2137
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    346449
% 115.78/116.15  Kept:         105356
% 115.78/116.15  Inuse:        2155
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    354015
% 115.78/116.15  Kept:         107383
% 115.78/116.15  Inuse:        2180
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    361853
% 115.78/116.15  Kept:         109443
% 115.78/116.15  Inuse:        2196
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    368640
% 115.78/116.15  Kept:         111494
% 115.78/116.15  Inuse:        2212
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    375058
% 115.78/116.15  Kept:         113547
% 115.78/116.15  Inuse:        2230
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    381705
% 115.78/116.15  Kept:         115611
% 115.78/116.15  Inuse:        2248
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    387494
% 115.78/116.15  Kept:         117687
% 115.78/116.15  Inuse:        2263
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    394691
% 115.78/116.15  Kept:         119901
% 115.78/116.15  Inuse:        2267
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    401501
% 115.78/116.15  Kept:         122808
% 115.78/116.15  Inuse:        2272
% 115.78/116.15  Deleted:      6362
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying clauses:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    409108
% 115.78/116.15  Kept:         124956
% 115.78/116.15  Inuse:        2277
% 115.78/116.15  Deleted:      6472
% 115.78/116.15  Deletedinuse: 12
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    420996
% 115.78/116.15  Kept:         128346
% 115.78/116.15  Inuse:        2282
% 115.78/116.15  Deleted:      6476
% 115.78/116.15  Deletedinuse: 16
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    429020
% 115.78/116.15  Kept:         131070
% 115.78/116.15  Inuse:        2292
% 115.78/116.15  Deleted:      6476
% 115.78/116.15  Deletedinuse: 16
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    435724
% 115.78/116.15  Kept:         133535
% 115.78/116.15  Inuse:        2297
% 115.78/116.15  Deleted:      6479
% 115.78/116.15  Deletedinuse: 19
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    441896
% 115.78/116.15  Kept:         136090
% 115.78/116.15  Inuse:        2302
% 115.78/116.15  Deleted:      6479
% 115.78/116.15  Deletedinuse: 19
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    451338
% 115.78/116.15  Kept:         139307
% 115.78/116.15  Inuse:        2317
% 115.78/116.15  Deleted:      6479
% 115.78/116.15  Deletedinuse: 19
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    473770
% 115.78/116.15  Kept:         144781
% 115.78/116.15  Inuse:        2372
% 115.78/116.15  Deleted:      6480
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying clauses:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    495211
% 115.78/116.15  Kept:         149239
% 115.78/116.15  Inuse:        2382
% 115.78/116.15  Deleted:      7261
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    504342
% 115.78/116.15  Kept:         151389
% 115.78/116.15  Inuse:        2402
% 115.78/116.15  Deleted:      7261
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    511832
% 115.78/116.15  Kept:         153567
% 115.78/116.15  Inuse:        2412
% 115.78/116.15  Deleted:      7261
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    518771
% 115.78/116.15  Kept:         157079
% 115.78/116.15  Inuse:        2422
% 115.78/116.15  Deleted:      7261
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    524730
% 115.78/116.15  Kept:         160482
% 115.78/116.15  Inuse:        2427
% 115.78/116.15  Deleted:      7261
% 115.78/116.15  Deletedinuse: 20
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 115.78/116.15  Generated:    541386
% 115.78/116.15  Kept:         165112
% 115.78/116.15  Inuse:        2432
% 115.78/116.15  Deleted:      7667
% 115.78/116.15  Deletedinuse: 426
% 115.78/116.15  
% 115.78/116.15  Resimplifying inuse:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  Resimplifying clauses:
% 115.78/116.15  Done
% 115.78/116.15  
% 115.78/116.15  
% 115.78/116.15  Intermediate Status:
% 181.11/181.51  Generated:    554365
% 181.11/181.51  Kept:         167593
% 181.11/181.51  Inuse:        2442
% 181.11/181.51  Deleted:      20098
% 181.11/181.51  Deletedinuse: 426
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    565940
% 181.11/181.51  Kept:         169636
% 181.11/181.51  Inuse:        2447
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    573017
% 181.11/181.51  Kept:         171888
% 181.11/181.51  Inuse:        2457
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    586748
% 181.11/181.51  Kept:         174002
% 181.11/181.51  Inuse:        2462
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    601150
% 181.11/181.51  Kept:         176580
% 181.11/181.51  Inuse:        2467
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    615573
% 181.11/181.51  Kept:         179165
% 181.11/181.51  Inuse:        2472
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    629573
% 181.11/181.51  Kept:         181257
% 181.11/181.51  Inuse:        2477
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    646845
% 181.11/181.51  Kept:         184936
% 181.11/181.51  Inuse:        2497
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    652576
% 181.11/181.51  Kept:         187909
% 181.11/181.51  Inuse:        2502
% 181.11/181.51  Deleted:      20102
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying clauses:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    658360
% 181.11/181.51  Kept:         190922
% 181.11/181.51  Inuse:        2507
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    667330
% 181.11/181.51  Kept:         193534
% 181.11/181.51  Inuse:        2522
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    681660
% 181.11/181.51  Kept:         197075
% 181.11/181.51  Inuse:        2532
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    694626
% 181.11/181.51  Kept:         200284
% 181.11/181.51  Inuse:        2537
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    704116
% 181.11/181.51  Kept:         202320
% 181.11/181.51  Inuse:        2571
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    713553
% 181.11/181.51  Kept:         204406
% 181.11/181.51  Inuse:        2601
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    723303
% 181.11/181.51  Kept:         206449
% 181.11/181.51  Inuse:        2623
% 181.11/181.51  Deleted:      21349
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying clauses:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    737068
% 181.11/181.51  Kept:         208647
% 181.11/181.51  Inuse:        2652
% 181.11/181.51  Deleted:      24193
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    747457
% 181.11/181.51  Kept:         210788
% 181.11/181.51  Inuse:        2672
% 181.11/181.51  Deleted:      24193
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    765085
% 181.11/181.51  Kept:         215094
% 181.11/181.51  Inuse:        2697
% 181.11/181.51  Deleted:      24193
% 181.11/181.51  Deletedinuse: 430
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    770075
% 181.11/181.51  Kept:         217281
% 181.11/181.51  Inuse:        2698
% 181.11/181.51  Deleted:      24197
% 181.11/181.51  Deletedinuse: 434
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    776847
% 181.11/181.51  Kept:         219759
% 181.11/181.51  Inuse:        2702
% 181.11/181.51  Deleted:      24198
% 181.11/181.51  Deletedinuse: 435
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    783431
% 181.11/181.51  Kept:         223203
% 181.11/181.51  Inuse:        2707
% 181.11/181.51  Deleted:      24198
% 181.11/181.51  Deletedinuse: 435
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    791613
% 181.11/181.51  Kept:         226278
% 181.11/181.51  Inuse:        2712
% 181.11/181.51  Deleted:      24198
% 181.11/181.51  Deletedinuse: 435
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  Resimplifying clauses:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    799502
% 181.11/181.51  Kept:         228311
% 181.11/181.51  Inuse:        2736
% 181.11/181.51  Deleted:      25196
% 181.11/181.51  Deletedinuse: 435
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    805620
% 181.11/181.51  Kept:         230609
% 181.11/181.51  Inuse:        2737
% 181.11/181.51  Deleted:      25196
% 181.11/181.51  Deletedinuse: 435
% 181.11/181.51  
% 181.11/181.51  Resimplifying inuse:
% 181.11/181.51  Done
% 181.11/181.51  
% 181.11/181.51  
% 181.11/181.51  Intermediate Status:
% 181.11/181.51  Generated:    812842
% 181.11/181.51  Kept:         233226
% 181.11/181.51  Inuse:        2742
% 181.11/181.51  Deleted:      25196
% 181.11/181.51  DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------